Formula Guides
Step-by-step explanations for 474+ mathematical formulas and calculation methods.
🧮 Math
Date to Roman Converter FormulaConverts any standard Gregorian date (day, month, and year) into classical Roman numerals format.Percent to Fraction FormulaConverts a percentage value to its equivalent simplified fraction.Poundal Converter FormulaConverts force from Poundals (pdl) to metric Newtons (N) and standard imperial Pounds-force (lbf).Absolute Maximum FormulaCalculates the absolute maximum value (ignoring positive/negative signs).Absolute Minimum FormulaCalculates the absolute minimum value (closest to zero, ignoring positive/negative signs).Adding Complex Numbers FormulaAdds two complex numbers (a + bi) and (c + di).Adding Subtracting Fractions FormulaAdds and subtracts two fractions with different denominators.Adding Subtracting Integers FormulaComputes both the sum and difference of two integers.Adding Vectors FormulaAdds two 2D vectors component-wise.Area Of Ellipse FormulaCalculates the area of an ellipse given its semi-major and semi-minor axes.Area Of Equilateral Triangle FormulaCalculates the area of an equilateral triangle where all sides are equal.Area Of Kite FormulaCalculates the area of a kite given its two diagonal lengths.Area Of Parallelogram FormulaCalculates the area of a parallelogram using its base and height.Area Of Quadrilateral FormulaCalculates the area of a general quadrilateral from its diagonals and the angle between them.Area Of Sector FormulaCalculates the area of a circular sector using its radius and central angle.Area Of Triangle FormulaCalculates the area of a triangle given its base and height.Coulomb Law FormulaCalculates electrostatic force between two point charges using Coulomb's Law.Volume Of A Cylinder FormulaCalculates the volume of a cylinder using its radius and height.Concrete FormulaCalculate how much concrete you need for slabs, round patios, and footings — cubic yards, cubic feet, 40/60/80 lb bag counts, and an estimated ready-mix cost.Volume Of A Sphere FormulaCalculates the volume of a sphere given its radius.Volume Of Cube FormulaCalculates the volume of a cube given its side length.Volume Of Cuboid FormulaCalculates the volume of a rectangular prism (cuboid).Volume Of Rectangular Prism FormulaFind the volume of a rectangular prism from its length, width, and height.Quadratic Formula FormulaSolve any quadratic equation ax² + bx + c = 0.Percentage FormulaCalculate percentages, percentage of, and percent change.Percentage Change FormulaFind the percentage increase or decrease between two values.Area of Circle FormulaCalculate the area of a circle using radius or diameter.Slope FormulaFind the slope of a line between two points.Mean FormulaCalculate the arithmetic mean (average) of a set of numbers.Percent Error FormulaCalculate the percentage error between observed and actual.Area of Rectangle FormulaFind the area of a rectangle from length and width.Volume of Sphere FormulaCalculate the volume of a sphere from its radius.Volume of Cylinder FormulaCalculate the volume of a cylinder from radius and height.Triangle Area FormulaFind the area of any triangle using base, height, or sides.Pythagorean Theorem FormulaFind the missing side of a right triangle using a² + b² = c².LCM FormulaFind the Least Common Multiple of two or more numbers.GCF FormulaFind the Greatest Common Factor (GCD) of numbers.Factorial FormulaCalculate n! for any non-negative integer.Fraction to Decimal FormulaConvert any fraction to a decimal number.Perimeter FormulaCalculate the perimeter of rectangles, squares, and triangles.Adding Fractions FormulaAdd two or more fractions and get the simplified result.Absolute Value FormulaFind the absolute value of any number.Rounding FormulaRound numbers to any decimal place or significant figure.Scientific Notation FormulaConvert numbers to and from scientific notation.Exponents FormulaCalculate the result of a base raised to any power.Modulo FormulaFind the remainder when dividing two integers.Prime Number FormulaCheck if a number is prime and find prime factors.Long Division FormulaSolve long division step by step with remainder.Long Multiplication FormulaMultiply large numbers with step-by-step working.Long Addition FormulaAdd large numbers with column addition shown step by step.Long Subtraction FormulaSubtract large numbers with borrowing shown step by step.Cube Root FormulaCalculate the cube root of any number.Square FormulaSquare any number — compute x².Completing the Square FormulaConvert a quadratic to vertex form by completing the square.Expanded Form FormulaWrite any number in expanded form.Place Value FormulaFind the place value of each digit in a number.Ratio FormulaSimplify ratios and solve ratio problems.Proportion FormulaSolve for the unknown in a proportion equation.Common Factors FormulaList all common factors of two or more numbers.Equivalent Fractions FormulaFind equivalent fractions for any given fraction.Fraction to Percent FormulaConvert fractions to percentages quickly.Percent to Decimal FormulaConvert percentages to decimal form.Decimal to Fraction FormulaConvert any decimal number to a fraction in simplest form.Decimal to Percent FormulaConvert decimal numbers to percentages.Mixed Numbers FormulaAdd, subtract, multiply, and divide mixed numbers.Complex Fractions FormulaSimplify complex fractions with fractions in numerator or denominator.Significant Figures FormulaRound numbers to a specified number of significant figures.Exponential Notation FormulaConvert numbers to and from exponential notation.Adding Machine FormulaAdd up a list of numbers like a traditional adding machine.Unit Rate FormulaCalculate the unit rate for any ratio.Diamond Problem Solver FormulaSolve diamond problems: find two numbers given their sum and product.Roman Numeral Converter FormulaConvert numbers to Roman numerals and back.Multiples FormulaList the first N multiples of any number.Surface Area of Sphere FormulaCalculate the surface area of a sphere from its radius.Surface Area of Cylinder FormulaCalculate the total surface area of a cylinder.Volume of Cone FormulaCalculate the volume of a cone from radius and height.Trapezoid Area FormulaFind the area of a trapezoid from parallel sides and height.Ellipse Area FormulaCalculate the area and perimeter of an ellipse.Combinations FormulaCalculate the number of ways to choose r items from n items.Permutations FormulaCalculate ordered arrangements of r items from n items.Arithmetic Sequence FormulaFind any term and sum of an arithmetic sequence.Geometric Sequence FormulaFind any term and sum of a geometric sequence.Fibonacci FormulaCalculate Fibonacci numbers and the golden ratio approximation.Cross Product FormulaCalculate the cross product of two 3D vectors.Surface Area of Cube FormulaCalculate surface area and volume of a cube from edge length.Volume of Pyramid FormulaCalculate the volume of a rectangular pyramid.Regular Polygon Area FormulaCalculate the area of any regular polygon by sides and length.
🔢 Algebra
Linear Equation Solver FormulaSolve linear equations with one or two variables.Cubic Equation FormulaFind all roots of a cubic equation ax³ + bx² + cx + d = 0.System of Equations FormulaSolve 2×2 systems of equations by substitution or elimination.Polynomial FormulaAdd, subtract, multiply, and factor polynomials.Factoring FormulaFactor any polynomial expression completely.FOIL Method FormulaMultiply two binomials using the FOIL method.Difference of Two Squares FormulaFactor expressions in the form a² - b².Dot Product FormulaCalculate the dot product of two vectors.Logarithm Equation FormulaSolve logarithmic equations and evaluate log expressions.Fractional Exponents FormulaCalculate values with fractional and negative exponents.Radicals & Roots FormulaSimplify radicals and compute nth roots.Fifth Root FormulaFind the fifth root of any number.Fourth Root FormulaFind the fourth root of any number.Large Exponents FormulaCompute very large exponent values accurately.Percentage Increase FormulaCalculate the percentage increase between two values.Percentage Decrease FormulaCalculate the percentage decrease between two values.Percentage Difference FormulaFind the percentage difference between two values.Absolute Difference FormulaFind the absolute difference between two numbers.Simplify Radical Expressions FormulaSimplify radical expressions to their simplest form.Solve for Exponents FormulaSolve equations where the variable is in the exponent.
💰 Finance
Salary to Hourly FormulaConvert your annual salary to hourly rate, or hourly wage to yearly salary.Tip FormulaCalculate restaurant tip, total bill, and split amount between people.Inflation FormulaCalculate the future value of money and purchasing power lost to inflation.Net Worth FormulaCalculate your total net worth by subtracting all liabilities from your assets.Paycheck FormulaCalculate your take-home pay after federal, state, and FICA taxes.Electricity Bill FormulaCalculate your electricity cost based on appliance wattage and usage hours.Fuel Cost FormulaCalculate total fuel cost and cost per mile for any road trip.CAGR FormulaCalculate the Compound Annual Growth Rate (CAGR) of an investment over a period of time.Investment FormulaCalculate the future value of an investment with initial principal and monthly additions.Wealth FormulaCalculate your wealth accumulation until retirement based on current savings and monthly savings.Roth IRA FormulaProject your Roth IRA balance at retirement — your contributions versus tax-free earnings.Compound Interest FormulaCalculate how money grows with compound interest over time.Simple Interest FormulaCalculate simple interest earned on principal over time.Discount FormulaFind the price after discount and amount saved.Margin FormulaCalculate gross profit margin and markup percentage.Markup FormulaCalculate selling price based on cost and markup.VAT FormulaAdd or remove VAT from any price.Energy Consumption FormulaCalculate electricity costs from wattage, hours, and rate.AdSense FormulaEstimate Google AdSense earnings from page views and CTR.CPV FormulaCalculate Cost Per View for video ad campaigns.Tithing FormulaCalculate your tithe at 10% of your income.Poshmark Fee FormulaCalculate Poshmark fees and your net earnings on a sale.YouTube Earnings FormulaEstimate YouTube ad revenue from views and RPM.Commission FormulaCalculate sales commission from rate and sales amount.Money FormulaCount total value from bills and coins of different denominations.ROI FormulaCalculate return on investment, annualized ROI, and net profit for any investment.NPV & IRR FormulaCalculate Net Present Value and Internal Rate of Return for investment project evaluation.Bond Price FormulaCalculate bond price, yield to maturity, and current yield for fixed income analysis.Tax-Equivalent Yield FormulaCompare taxable vs tax-exempt bond yields adjusted for your federal tax bracket.Rule of 72 FormulaEstimate how long it takes an investment to double using the Rule of 72.College Savings FormulaPlan college savings with inflation adjustment and monthly contribution requirements.Investment Income FormulaCalculate annual investment income from dividends, interest, and capital gains across a portfolio.Mutual Fund Fee FormulaShow the long-term impact of mutual fund expense ratios on investment returns.HSA FormulaProject Health Savings Account growth with tax-free contributions, earnings, and withdrawals.Savings Goal FormulaCalculate the monthly savings needed to reach a financial goal by a target date.Crypto Staking FormulaCalculate your potential cryptocurrency staking rewards and compounding interest over time.
🏦 Loans
Mortgage FormulaCalculate your monthly mortgage payment including principal, interest, taxes, insurance, and PMI.Auto Loan FormulaCalculate your monthly car payment, total interest, and true cost of your auto loan.House Affordability FormulaFind out how much house you can afford based on your income, debts, and down payment.Loan Amortization FormulaSee your complete loan amortization schedule with monthly payment breakdown.PMI FormulaCalculate your private mortgage insurance cost and find out when PMI drops off.FHA Loan FormulaCalculate your FHA loan payment with 3.5% down, upfront MIP, and monthly mortgage insurance.VA Loan FormulaCalculate your VA loan payment with zero down, no PMI, and the funding fee financed in.Debt-to-Income FormulaCalculate your front-end and back-end DTI ratios and compare them with conventional, FHA, and VA guidelines.HELOC FormulaCalculate your maximum HELOC credit line from your home equity and combined LTV, plus the interest-only draw payment and the repayment payment that follows.Debt Payoff FormulaCalculate how long it will take to pay off a credit card or loan balance, the total interest you will pay, and how much time and interest an extra monthly payment saves.Home Equity Loan FormulaCalculate the monthly payment, total interest and total cost of a fixed-rate home equity loan, your combined LTV after the loan, and the most you could borrow at 80%, 85% and 90% CLTV caps.Refinance Break-Even FormulaCalculate your new payment after a mortgage refinance, the monthly savings, the break-even month where savings repay the closing costs, and your true lifetime savings after the new loan's interest.USDA Loan FormulaCalculate a USDA rural development loan with $0 down: the 1% upfront guarantee fee financed into the loan, monthly principal and interest, the 0.35% annual guarantee fee, and total interest over the term.Student Loan Payoff FormulaCalculate how long it will take to pay off a student loan, the total interest you will pay, and how much time and interest an extra monthly payment saves you.Index Fund FormulaSee how an S&P 500 index fund grows your monthly investment, and how expense ratios eat into returns.Goal Based FormulaCalculate the required monthly savings to achieve your financial target, adjusted for future inflation.Retirement FormulaPlan your US retirement: estimate the savings needed to maintain your lifestyle with 401(k) and IRA investing.Child Education FormulaEstimate future college costs and the monthly savings needed — including 529 plan assumptions.Car FormulaPlan a future car purchase: save for the down payment and estimate your monthly auto loan payment.Dream Home FormulaPlan a future home purchase: save for the down payment and estimate your monthly mortgage payment.Loan FormulaCalculate monthly loan payments, interest, and total cost.CD FormulaCalculate Certificate of Deposit growth with APY compounding.Income Tax FormulaEstimate your US federal income tax with 2026 brackets.Lump Sum FormulaProject growth of a one-time lump sum investment.Retirement Withdrawal FormulaPlan 401(k)/IRA withdrawals with the 4% rule.Annualized Return FormulaAnnualized rate of return for investments with dated cash flows.Mutual Fund Returns FormulaEstimate mutual fund and ETF returns from share prices.Loan Comparison FormulaCompare two loan options side by side — payments, total costs, and total interest.Loan Refinance FormulaCalculate refinance savings comparing your current loan to a new rate and term.APR FormulaCalculate the Annual Percentage Rate from loan amount, fees, term, and monthly payment.APR Advanced FormulaDetailed APR calculation including origination fees, discount points, and closing costs.Commercial Loan FormulaCalculate commercial loan payments, total interest, and balloon payment for business financing.Loan Analysis FormulaFull loan analysis: monthly payment, total cost, total interest, and interest percentage.Home Affordability FormulaDetermine how much home you can afford using the 28/36 debt-to-income rule.Rent vs Buy FormulaCompare the total cost of renting versus buying a home including appreciation and break-even.Mortgage Tax Saving FormulaCalculate annual and lifetime mortgage interest tax savings based on your tax bracket.Discount Points FormulaCalculate whether buying discount points to lower your mortgage rate is worthwhile.Adjustable Rate FormulaCalculate ARM payments for initial period, after adjustment, and at the lifetime rate cap.Fixed vs Adjustable Rate FormulaCompare the total lifetime cost of a fixed-rate vs adjustable-rate mortgage.Bi-weekly Payment FormulaCompare monthly vs bi-weekly mortgage payments — see interest saved and years cut off loan.Interest Only FormulaCalculate interest-only payments, principal & interest after IO period, and total interest.Rental Property FormulaAnalyze rental property investment: NOI, cash flow, cap rate, and cash-on-cash return.
🔄 Unit Converters
Aspect Ratio FormulaCalculate aspect ratio, diagonal, and megapixels for any screen or image resolution.Data Transfer Rate FormulaCalculates the digital data transfer rate in Megabits per second (Mbps) and Megabytes per second (MB/s) based on file size and transfer duration.Decimeter Converter FormulaConverts length measurements from Decimeters (dm) to Meters, Centimeters, Millimeters, Inches, and Feet.Deformation Converter FormulaConverts structural or material deformation from meters to millimeters, micrometers, inches, and mils.Dyne Converter FormulaConverts force from Dyne (cgs unit of force) to standard Newtons, Pounds-force, and Kilograms-force.Electric Conductance Converter FormulaConverts electrical conductance between Siemens (S), Mhos (℧), Microsiemens, and Millisiemens.Electric Conductivity Converter FormulaConverts electrical conductivity measurements between Siemens per meter (S/m), Mho per meter, and Microsiemens per centimeter.Electric Potential Converter FormulaConverts electric potential differences and electromotive forces between Volts, Millivolts, Kilovolts, and Megavolts.Electric Resistivity Converter FormulaConverts electrical resistivity between Ohm-meters (Ω·m), Ohm-centimeters, and Microohm-inches.Electronvolt Converter FormulaConverts energy values from Electronvolts (eV) to Joules (J), Kiloelectronvolts (keV), Megaelectronvolts (MeV), and Gigaelectronvolts (GeV).Exabyte Converter FormulaConverts digital data size from Exabytes (EB) to Zettabytes, Petabytes, Terabytes, and Gigabytes.Fahrenheit to Delisle Converter FormulaConverts temperature from Fahrenheit (°F) to the historical Delisle scale (°De).Fahrenheit to Newton Converter FormulaConverts temperature from Fahrenheit (°F) to the Newton scale (°N).Fahrenheit to Rankine Converter FormulaConverts temperature from Fahrenheit (°F) to the absolute thermodynamic Rankine scale (°R).Fahrenheit to Reaumur Converter FormulaConverts temperature from Fahrenheit (°F) to the Réaumur temperature scale (°Ré).Fahrenheit to Romer Converter FormulaConverts temperature from Fahrenheit (°F) to the historical Rømer temperature scale (°Rø).Foot Pound Converter FormulaConverts work or torque from Foot-pounds (ft·lb) to Joules (J), Newton-meters (N·m), and Calories (cal).Gigabyte Converter FormulaConverts digital data size from Gigabytes (GB) to Megabytes, Kilobytes, Terabytes, and Bytes.Illuminance Converter FormulaConverts illuminance (luminous flux incident on a surface per unit area) between Lux (lx), Foot-candles (fc), and Phots (ph).Inhg Converter FormulaConverts pressure measurements from Inches of Mercury (inHg, standard in meteorology and aviation) to Pascals, PSI, Bar, and mmHg.Kelvin to Rankine Converter FormulaConverts thermodynamic temperature values from Kelvin (K) to Rankine scale (°R).Kilobyte Converter FormulaConverts digital data size from Kilobytes (KB) to Bytes, Megabytes, and Gigabytes.Kilocalorie Converter FormulaConverts dietary or thermodynamic energy from Kilocalories (kcal) to Calories, Joules, Kilojoules, and Kilowatt-hours.Kilojoule Converter FormulaConverts energy values from Kilojoules (kJ) to Joules, Megajoules, Kilocalories, and Watt-hours.Kilonewton Converter FormulaConverts force measurements from Kilonewtons (kN) to standard Newtons, Pounds-force, and Kilograms-force.Kilopascal Converter FormulaConverts pressure measurements from Kilopascals (kPa) to standard Pascals, Bar, PSI, and Atmospheres.Luminous Intensity Converter FormulaConverts luminous intensity measurements between Candela (cd), historical Hefnerkerze (hk), and Lumen per steradian.Magnetic Flux Converter FormulaConverts magnetic flux between standard Weber (Wb), CGS Maxwell (Mx), and electromagnetic unit of flux (emu).Mass Flow Converter FormulaConverts mass flow rate between kilograms per second, kilograms per hour, pounds per second, and pounds per hour.Technical Atmosphere Converter FormulaConverts pressure units from Technical Atmospheres (at, kgf/cm²) to standard Pascals, Bar, PSI, and Atmospheres.Terabyte Converter FormulaConverts digital storage size from Terabytes (TB) to Gigabytes, Megabytes, Petabytes, and Bytes.Torr Converter FormulaConverts pressure measurements from Torr to standard metric and imperial pressure units.Volume Dry Converter FormulaConverts US dry volume measurements (dry gallons, dry quarts, bushels, pecks) to metric Liters.Watt Hour Converter FormulaConverts electrical energy from Watt-hours (Wh) to Kilowatt-hours, Joules, Megajoules, and BTUs.Yottabyte Converter FormulaConverts digital data size from Yottabytes (YB) to Zettabytes, Exabytes, Petabytes, and Terabytes.Zettabyte Converter FormulaConverts digital data size from Zettabytes (ZB) to Yottabytes, Exabytes, Petabytes, and Terabytes.Megabyte Converter FormulaConverts digital data size from Megabytes (MB) to Kilobytes, Gigabytes, Terabytes, and Bytes.Megajoule Converter FormulaConverts energy values from Megajoules (MJ) to Joules, Kilojoules, Gigajoules, and Kilowatt-hours.Megapascal Converter FormulaConverts pressure measurements from Megapascals (MPa) to Pascals, Kilopascals, Bar, and PSI.Micrometer Converter FormulaConverts length measurements from Micrometers (µm) to Meters, Millimeters, Nanometers, and Inches.Millibar Converter FormulaConverts pressure measurements from Millibars (mbar) to Bar, Pascals, Kilopascals, PSI, and mmHg.Mmhg Converter FormulaConverts pressure measurements from millimeters of mercury (mmHg) to standard atmospheric units.Nanometer Converter FormulaConverts length measurements from Nanometers (nm) to Meters, Micrometers, Picometers, and Angstroms.Nautical Mile Converter FormulaConverts distance from Nautical Miles (nmi) to standard metric and imperial units.Parsec Converter FormulaConverts astronomical distances from Parsecs (pc) to Light Years, Astronomical Units, and meters.Petabyte Converter FormulaConverts digital data size from Petabytes (PB) to Terabytes, Gigabytes, and Exabytes.Litres To Gallons FormulaConverts litres to US liquid gallons.Radians To Degrees FormulaConverts angles from radians to degrees.Seconds To Minutes FormulaConverts seconds to minutes.Weeks To Months FormulaConverts weeks to months (based on average calendar length).Celsius to Fahrenheit FormulaConvert temperatures from Celsius to Fahrenheit.Fahrenheit to Celsius FormulaConvert temperatures from Fahrenheit to Celsius.Celsius to Kelvin FormulaConvert Celsius temperatures to Kelvin.Kelvin to Celsius FormulaConvert Kelvin temperatures to Celsius.Fahrenheit to Kelvin FormulaConvert Fahrenheit temperatures to Kelvin.Kelvin to Fahrenheit FormulaConvert Kelvin to Fahrenheit degrees.Celsius to Rankine FormulaConvert Celsius to Rankine temperature scale.Rankine to Celsius FormulaConvert Rankine to Celsius temperature.Rankine to Fahrenheit FormulaConvert Rankine to Fahrenheit temperature.Rankine to Kelvin FormulaConvert Rankine to Kelvin temperature.Celsius to Delisle FormulaConvert Celsius to the Delisle temperature scale.Celsius to Newton FormulaConvert Celsius to Newton temperature scale.Celsius to Réaumur FormulaConvert Celsius to Réaumur temperature scale.Celsius to Rømer FormulaConvert Celsius to Rømer temperature scale.Kilometers to Miles FormulaConvert kilometers to miles.Miles to Kilometers FormulaConvert miles to kilometers.Inch to Centimeter FormulaConvert inches to centimeters.Meters to Feet FormulaConvert meters to feet.Feet to Meters FormulaConvert feet to meters.Meter to Centimeter FormulaConvert meters to centimeters.Meter to Kilometer FormulaConvert meters to kilometers.Meter to Yard FormulaConvert meters to yards.Yard to Meter FormulaConvert yards to meters.Kilometer to Mile FormulaConvert kilometers to miles instantly — 1 km equals 0.621371 miles.Mile to Kilometer FormulaConvert miles to kilometers instantly — 1 mile equals 1.60934 kilometers.Millimeter to Inch FormulaConvert millimeters to inches.Centimeter to Inch FormulaConvert centimeters to inches.Kilograms to Pounds FormulaConvert kilograms to pounds.Pounds to Kilograms FormulaConvert pounds to kilograms.Kilograms to Stone FormulaConvert kilograms to stone and pounds.Stone to Kilograms FormulaConvert stone to kilograms.Kilograms to Ton FormulaConvert kilograms to metric tons.Ton to Kilograms FormulaConvert metric tons to kilograms.Gram to Ounce FormulaConvert grams to ounces.Ounce to Gram FormulaConvert ounces to grams.Kilogram to Gram FormulaConvert kilograms to grams.Kilogram to Pound FormulaConvert kilograms to pounds instantly — 1 kg equals 2.20462 pounds.Carat to Gram FormulaConvert carats to grams for gem and metal weight.Metric Ton to Pound FormulaConvert metric tons to pounds.Liter to Gallon FormulaConvert liters to US gallons.Gallon to Liter FormulaConvert US gallons to liters.Cup to Milliliter FormulaConvert cups to milliliters.Milliliter to Cup FormulaConvert milliliters to cups.Pint to Liter FormulaConvert pints to liters.Liter to Pint FormulaConvert liters to pints.Milliliter to Fluid Ounce FormulaConvert milliliters to fluid ounces.Fluid Ounce to Milliliter FormulaConvert fluid ounces to milliliters.Cubic Meter to Cubic Foot FormulaConvert cubic meters to cubic feet.km/h to mph FormulaConvert kilometers per hour to miles per hour.mph to km/h FormulaConvert miles per hour to kilometers per hour.km/h to m/s FormulaConvert kilometers per hour to meters per second.m/s to km/h FormulaConvert meters per second to kilometers per hour.km/h to Knot FormulaConvert kilometers per hour to nautical knots.Knot to km/h FormulaConvert nautical knots to kilometers per hour.Knot to mph FormulaConvert nautical knots to miles per hour.m/s to mph FormulaConvert meters per second to miles per hour.mph to m/s FormulaConvert miles per hour to meters per second.PSI to Bar FormulaConvert PSI to Bar pressure.Bar to PSI FormulaConvert Bar to PSI pressure.Pascal to PSI FormulaConvert Pascal to PSI pressure.PSI to Pascal FormulaConvert PSI to Pascal pressure.ATM to Pascal FormulaConvert atmospheres to Pascals.Pascal to ATM FormulaConvert Pascals to atmospheres.Atmosphere to Pascal FormulaConvert atmospheric pressure to Pascals.Joule to Calorie FormulaConvert joules to calories.Calorie to Joule FormulaConvert calories to joules.BTU to Joule FormulaConvert British Thermal Units to Joules.Joule to BTU FormulaConvert Joules to British Thermal Units.kWh to Joule FormulaConvert kilowatt-hours to joules.Joule to kWh FormulaConvert joules to kilowatt-hours.BTU/hr to Watt FormulaConvert BTU per hour to Watts.Watt to Horsepower FormulaConvert Watts to mechanical horsepower.Horsepower to Watt FormulaConvert horsepower to Watts.Kilowatt to Horsepower FormulaConvert kilowatts to horsepower.Binary to Decimal FormulaConvert binary numbers to decimal.Decimal to Binary FormulaConvert decimal numbers to binary.Binary to Hexadecimal FormulaConvert binary numbers to hexadecimal.Hexadecimal to Binary FormulaConvert hexadecimal numbers to binary.Hexadecimal to Decimal FormulaConvert hexadecimal to decimal numbers.Decimal to Hexadecimal FormulaConvert decimal to hexadecimal numbers.Decimal to Octal FormulaConvert decimal numbers to octal.Octal to Decimal FormulaConvert octal numbers to decimal.Acre to Hectare FormulaConvert acres to hectares.Hectare to Acre FormulaConvert hectares to acres.Acre to Square Meter FormulaConvert acres to square meters.Square Feet to Square Meters FormulaConvert square feet to square meters.Square Meters to Square Feet FormulaConvert square meters to square feet.Square Meters to Acres FormulaConvert square meters to acres.Square Foot to Square Meter FormulaConvert square feet to square meters instantly — 1 ft² equals 0.092903 m².Square Kilometer to Square Meter FormulaConvert square kilometers to square meters.Square Meter to Square Kilometer FormulaConvert square meters to square kilometers.Minute to Hour FormulaConvert minutes to hours and minutes.Hour to Day FormulaConvert hours to days.Second to Minute FormulaConvert seconds to minutes.Day to Week FormulaConvert days to weeks.Percent to PPM FormulaConvert percent concentration to parts per million.PPM to Percent FormulaConvert parts per million to percentage.PPM to PPB FormulaConvert parts per million to parts per billion.PPB to PPM FormulaConvert parts per billion to parts per million.PPM to PPT FormulaConvert parts per million to parts per trillion.PPT to PPM FormulaConvert parts per trillion to parts per million.
📊 Statistics
Basic Statistics FormulaCalculates descriptive statistics (mean, median, range, variance, standard deviation) for a sample size of 5.Descriptive Statistics FormulaComputes key descriptive statistical values (sum, mean, range, variance, std dev) for a dataset.Average FormulaCalculate the mean, median, and mode of a dataset.Standard Deviation FormulaCalculate the standard deviation of a dataset.Mean Median Mode FormulaFind the mean, median, and mode of any list of numbers.Variance FormulaCalculate population and sample variance of a dataset.Median FormulaFind the median value of a sorted or unsorted dataset.Z Score FormulaConvert data values to z-scores and find probabilities.Percentile FormulaFind what percentile a value falls in within a dataset.Quartile FormulaFind Q1, Q2, Q3 and the interquartile range of data.Interquartile Range FormulaCalculate the IQR and identify statistical outliers.Probability FormulaCalculate probability, combinations, and permutations.Normal Distribution FormulaFind probabilities and values using the normal distribution.Percent Error for Statistics FormulaCalculate measurement error as a percentage.Confidence Interval FormulaCalculate confidence intervals for population means.P Value FormulaCalculate p-value for hypothesis testing.Sample Size FormulaFind the sample size needed for statistical significance.Odds Probability FormulaConvert odds to probability and vice versa.Vote Percentage FormulaCalculate vote percentages from election results.GPA FormulaCalculate cumulative GPA from course grades and credits.Final Exam Grade FormulaCalculate what you need on your final exam to get your target grade.Stem and Leaf Plot Generator FormulaCreate stem-and-leaf plots from a dataset.Sum FormulaAdd up a list of numbers and find the running total.Random Name Picker FormulaPick a random name from a list for raffles or selections.Random Card Generator FormulaGenerate a random playing card from a 52-card deck.PIN Generator FormulaGenerate a random PIN of any length.Statistics Formulas Sheet FormulaQuick reference for all key statistics formulas.
❤️ Health
Ovulation FormulaCalculate your ovulation day and fertile window based on cycle length.Blood Alcohol Content FormulaEstimate your blood alcohol content (BAC) using the Widmark formula.Dog Age FormulaConvert your dog's age to human years based on size and age.Love FormulaCalculate fun compatibility score based on birth dates. For entertainment only.BMI FormulaCalculate your Body Mass Index and find your weight category.BMR FormulaCalculate your Basal Metabolic Rate — calories burned at rest.Calorie Burn FormulaEstimate calories burned during exercise by activity and weight.Ideal Weight FormulaFind your ideal body weight based on height and gender.Water Intake FormulaCalculate your daily water intake recommendation by weight.TDEE FormulaCalculate Total Daily Energy Expenditure from BMR and activity level.Body Fat FormulaEstimate body fat percentage using the US Navy circumference method.Macro FormulaCalculate daily protein, carbohydrate, and fat targets from TDEE.Heart Rate FormulaFind your max heart rate and training zones by age.Waist Hip Ratio FormulaCalculate your waist-to-hip ratio and assess health risk.Lean Body Mass FormulaCalculate your lean body mass from weight and body fat percentage.Protein Intake FormulaCalculate daily protein requirements based on weight and goals.Calorie Deficit FormulaCalculate calorie deficit needed to reach your weight loss goal.Pregnancy Due Date FormulaEstimate your pregnancy due date from the last menstrual period.Running Pace FormulaCalculate your running pace, speed, and finish time for any race.Steps to Calories FormulaConvert daily step count to estimated calories burned.BMI Prime FormulaCalculate BMI Prime — a ratio of BMI to the upper healthy limit.VO2 Max FormulaEstimate VO2 max from resting heart rate and max heart rate.Blood Pressure Categories FormulaClassify systolic and diastolic blood pressure by AHA guidelines.Alcohol Units FormulaCalculate alcohol units from drink volume and ABV percentage.Body Surface Area FormulaCalculate body surface area using the Mosteller formula.Smoking Cost FormulaCalculate the yearly financial and health cost of smoking.Sleep Cycle FormulaFind ideal wake-up times based on 90-minute sleep cycles.Fiber Intake FormulaCalculate daily fiber intake recommendation by age and gender.Intermittent Fasting FormulaCalculate your fasting and eating windows based on popular intermittent fasting schedules like 16:8.
🕐 Time & Date
Time Zone Converter FormulaConvert any time between UTC offset zones instantly.Age FormulaCalculate your exact age in years, months, and days.Hours FormulaAdd and subtract hours and minutes for time tracking.Countdown Timer FormulaSet a countdown to any future date or event.Date Difference FormulaFind the number of days between two dates.Business Days FormulaCount working days between two dates, excluding weekends.Time Card FormulaCalculate total hours worked from time card entries.Work Hours FormulaCalculate weekly work hours and overtime pay.Hours Minutes FormulaAdd, subtract, and convert hours and minutes.Time to Decimal FormulaConvert time in HH:MM format to decimal hours.Decimal to Time FormulaConvert decimal hours back to hours and minutes.Sunrise Sunset FormulaFind sunrise and sunset times for any location and date.Gross Pay FormulaCalculate gross pay from hourly rate and hours worked.Stopwatch Lap Timer FormulaOnline stopwatch with lap timing and split recording.Age Checker FormulaCheck if someone meets a minimum age requirement.Time Date Difference FormulaCalculate the exact time difference between two datetime values.Time H:M:S FormulaAdd and subtract hours, minutes, and seconds.Week Number FormulaFind the ISO week number of any date.
⚛️ Physics
Bulk Modulus FormulaCalculates the bulk modulus of elasticity (K) of a substance, which measures the substance's resistance to uniform compression.Compressive Strength FormulaCalculates the compressive strength of a material before failure under compression load.Creep Rate FormulaCalculates the steady-state creep rate (deformation rate under constant stress and temperature over time).Elastic Modulus FormulaCalculates the Young's Elastic Modulus (E) of a material based on the applied tensile stress and resulting strain.Fatigue Strength FormulaCalculates the endurance limit or fatigue strength of a material based on its ultimate tensile strength.Flexural Strength FormulaCalculates the flexural strength (ultimate bending strength) of a rectangular specimen under a three-point transverse bending load.Fracture Toughness FormulaCalculates the fracture toughness (K_Ic) of a material containing a crack under load stress.Impact Strength FormulaCalculates the notched or unnotched impact toughness/strength of a specimen from the absorbed impact test energy.Tensile Strength FormulaCalculates the ultimate tensile strength of a material from the breaking force and cross-sectional area.Volume Lumber FormulaCalculates the volume of lumber in board feet (FBM), standard in forestry and woodworking.Molar Flow Rate FormulaCalculates the molar flow rate of a substance from its mass flow rate and molar mass.Permeability FormulaCalculates the permeability of a porous medium using Darcy's Law.Shear Modulus FormulaCalculates the shear modulus (modulus of rigidity) of a material from shear stress and strain.Specific Heat Capacity FormulaCalculates specific heat capacity from heat energy transferred, mass, and temperature change.Specific Volume FormulaCalculates specific volume, which is the ratio of a substance's volume to its mass (reciprocal of density).Displacement FormulaCalculates total displacement using kinematics formulas.Ohm's Law FormulaCalculate voltage, current, or resistance using Ohm's Law.Kinetic Energy FormulaCalculate kinetic energy from mass and velocity.Potential Energy FormulaCalculate gravitational potential energy from mass, g, and height.Force FormulaCalculate force, mass, or acceleration using Newton's second law.Velocity FormulaCalculate velocity, distance, or time for uniform motion.Acceleration FormulaFind acceleration from change in velocity over time.Work & Energy FormulaCalculate work done by a force over a distance.Power (Physics) FormulaCalculate mechanical power from work and time, or force and speed.Pressure FormulaCalculate pressure from force and area.Density FormulaCalculate density, mass, or volume using ρ = m / V.Wavelength FormulaCalculate wavelength, frequency, or wave speed.Torque FormulaCalculate torque from force, radius, and angle.Momentum FormulaCalculate momentum from mass and velocity.Gravitational Force FormulaCalculate gravitational force between two masses.Electric Power FormulaCalculate electrical power from voltage, current, or resistance.Resistors in Series FormulaCalculate total resistance for resistors connected in series.Resistors in Parallel FormulaCalculate total resistance for resistors connected in parallel.Free Fall FormulaCalculate distance, velocity, or time for an object in free fall.Projectile Motion FormulaCalculate range, height, and time for projectile motion.Capacitor Charge FormulaCalculate charge, capacitance, or voltage for a capacitor.
🏖️ Retirement
Retirement Planner FormulaProject your nest egg with compound growth and inflation adjustment.401k Contribution FormulaCalculate 401k contribution limits, employer match, and projected balance.401k Max Savings FormulaDetermine the monthly contribution needed to maximize your 401k savings.Retirement Savings Analysis FormulaAnalyze whether your current retirement savings are on track for your goals.Retirement Income Analysis FormulaBreak down all sources of retirement income and assess income adequacy.Traditional IRA vs Roth IRA FormulaCompare Traditional IRA (pre-tax) vs Roth IRA (post-tax) lifetime tax outcomes.RMD FormulaCalculate Required Minimum Distributions from retirement accounts starting at age 73.Social Security Benefit Estimator FormulaEstimate your Social Security monthly benefit based on earnings history and claiming age.Social Security Analysis FormulaAnalyze optimal Social Security claiming strategy to maximize lifetime benefits.Social Security Tax FormulaCalculate how much of your Social Security benefits are subject to federal income tax.Asset Allocation FormulaDetermine optimal asset allocation between stocks, bonds, and cash based on age and risk tolerance.Retirement Income FormulaCalculate sustainable monthly retirement income from your portfolio using the 4% rule.US Retirement FormulaComprehensive US retirement planning with Social Security, 401k, and IRA projections.Retirement Annuity FormulaCalculate annuity payments, present value, and future value for fixed income planning.
📈 Stocks
Stock Return FormulaCalculate total stock return including dividends and capital gains over a holding period.Constant Growth Stock FormulaValue a stock using the Gordon Growth Model with constant dividend growth.Non-Constant Growth Stock FormulaValue a stock with a non-constant (multi-stage) dividend growth rate.CAPM FormulaCalculate expected stock return using the Capital Asset Pricing Model based on beta and market return.Expected Return FormulaCalculate probability-weighted expected return of an investment across multiple scenarios.Holding Period Return FormulaCalculate holding period return including income and capital appreciation for any investment.WACC FormulaCalculate Weighted Average Cost of Capital for a company's capital structure.Black-Scholes Option Pricing FormulaPrice European call and put options using the Black-Scholes options pricing model.Pivot Point FormulaCalculate daily pivot points and support/resistance levels for technical analysis.Fibonacci Retracement FormulaCalculate Fibonacci retracement and extension levels for technical analysis.Dividend Tax FormulaCalculate after-tax dividend income for qualified vs ordinary dividend tax rates.Commodities Futures FormulaCalculate commodity futures price, contract value, and profit/loss for futures trading.