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100 Amazing Calculator Formulas
Explore the most useful mathematical, financial, business, health and scientific formulas used in modern calculators.
Percentage Formula
Percentage = (Value ÷ Total Value) × 100. Used in percentage calculators for marks, discounts, growth and comparisons.
Simple Interest Formula
SI = (P × R × T) ÷ 100. Calculates interest earned on loans, deposits and investments.
Compound Interest Formula
A = P(1 + r/n)ⁿᵗ. Used to calculate long-term investment growth with compounding.
CAGR Formula
CAGR = (Ending Value ÷ Beginning Value)^(1/n) − 1. Used to measure annual investment growth rate.
Average Formula
Average = Sum of Values ÷ Number of Values. Used in statistics and educational calculations.
Profit Formula
Profit = Selling Price − Cost Price. Used for business and ecommerce profit calculations.
Profit Percentage Formula
Profit % = (Profit ÷ Cost Price) × 100. Helps businesses analyze profit margins.
Discount Formula
Discount = Original Price − Final Price. Used in shopping and offer calculators.
BMI Formula
BMI = Weight (kg) ÷ Height² (m²). Used in health and fitness calculators.
Loan EMI Formula
EMI = P × r × (1+r)ⁿ ÷ ((1+r)ⁿ−1). Used for personal loan and home loan calculations.
ROI Formula
ROI = (Net Profit ÷ Investment Cost) × 100. Measures investment performance.
Net Worth Formula
Net Worth = Total Assets − Total Liabilities. Used for personal financial analysis.
Future Value Formula
FV = PV(1+r)ⁿ. Calculates future value of money.
Present Value Formula
PV = FV ÷ (1+r)ⁿ. Used in investment valuation.
Tax Formula
Tax Amount = Taxable Income × Tax Rate. Used in income tax calculators.
Break Even Point Formula
BEP = Fixed Costs ÷ Contribution Margin. Used in business planning.
Area of Circle Formula
Area = π × Radius². Used in geometry calculators.
Rectangle Area Formula
Area = Length × Width. Used in measurement calculations.
Triangle Area Formula
Area = ½ × Base × Height. Used in geometry and engineering.
Circle Circumference Formula
Circumference = 2πr. Calculates distance around a circle.
Percentage Increase Formula
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100. Used to calculate growth in prices, revenue and performance.
Percentage Decrease Formula
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100. Used for discounts, depreciation and reductions.
Ratio Formula
Ratio = First Quantity : Second Quantity. Used for comparing values and proportions.
Proportion Formula
a:b = c:d → a × d = b × c. Used for solving proportional relationships.
LCM Formula
LCM = Lowest Common Multiple of given numbers. Used in arithmetic and number calculations.
HCF / GCD Formula
HCF = Highest Common Factor of given numbers. Used for simplifying mathematical problems.
Square Formula
Square of Number = Number × Number. Used in algebra and geometry calculations.
Cube Formula
Cube = Number × Number × Number. Used in volume and mathematical calculations.
Square Root Formula
√x gives the value which multiplied by itself equals x. Used in mathematics and engineering calculations.
Quadratic Equation Formula
x = (-b ± √(b²−4ac)) ÷ 2a. Used to solve quadratic equations.
Arithmetic Mean Formula
Mean = Sum of All Values ÷ Total Number of Values. Used in statistics and analysis.
Median Formula
Median = Middle Value after arranging data in ascending order. Used in statistical calculations.
Mode Formula
Mode = Most Frequently Appearing Value. Used for finding common patterns in data.
Variance Formula
Variance = Σ(x−μ)² ÷ N. Measures data spread from average values.
Standard Deviation Formula
σ = √Variance. Shows how much values differ from the average.
Probability Formula
Probability = Favorable Outcomes ÷ Total Possible Outcomes. Used in prediction and statistics calculators.
Permutation Formula
nPr = n! ÷ (n−r)!. Used when arrangement order matters.
Combination Formula
nCr = n! ÷ r!(n−r)!. Used when selecting items without order importance.
Distance Formula
Distance = √((x₂−x₁)² + (y₂−y₁)²). Used in coordinate geometry.
Slope Formula
Slope = (y₂−y₁) ÷ (x₂−x₁). Used to calculate line gradient.
Speed Formula
Speed = Distance ÷ Time. Used in travel calculators, physics and motion calculations.
Distance Formula
Distance = Speed × Time. Calculates travel distance based on speed and duration.
Time Formula
Time = Distance ÷ Speed. Used for journey planning and transportation calculations.
Acceleration Formula
Acceleration = Change in Velocity ÷ Time. Used in physics and vehicle performance calculations.
Force Formula
Force = Mass × Acceleration. Based on Newton's Second Law of Motion.
Work Formula
Work = Force × Distance. Used in mechanical and energy calculations.
Power Formula
Power = Work ÷ Time. Measures the rate of energy transfer.
Kinetic Energy Formula
KE = ½ × Mass × Velocity². Calculates energy due to motion.
Potential Energy Formula
PE = Mass × Gravity × Height. Used for gravitational energy calculations.
Momentum Formula
Momentum = Mass × Velocity. Used in physics and collision calculations.
Ohm's Law Formula
V = I × R. Calculates voltage, current and resistance in electrical circuits.
Electrical Power Formula
P = V × I. Used to calculate electrical power consumption.
Electrical Energy Formula
Energy = Power × Time. Used in electricity bill and energy calculators.
Resistance Formula
Resistance = Voltage ÷ Current. Used in electrical engineering calculations.
Density Formula
Density = Mass ÷ Volume. Used in chemistry, physics and material science.
Pressure Formula
Pressure = Force ÷ Area. Used in fluid mechanics and engineering.
Heat Energy Formula
Q = Mass × Specific Heat × Temperature Change. Used in thermal calculations.
Frequency Formula
Frequency = Number of Cycles ÷ Time. Used in waves, electronics and signal processing.
Wavelength Formula
Wavelength = Wave Speed ÷ Frequency. Used in physics and communication systems.
Temperature Conversion Formula
°C = (°F − 32) × 5/9. Used for Fahrenheit to Celsius conversion.
Mortgage Payment Formula
M = P[r(1+r)ⁿ] ÷ [(1+r)ⁿ−1]. Used for home loan and mortgage payment calculations.
Loan Interest Formula
Interest = Total Repayment − Principal Amount. Used to calculate total loan cost.
Loan Balance Formula
Remaining Balance = Original Loan − Principal Paid. Used in loan repayment calculators.
SIP Investment Formula
FV = P × (((1+r)ⁿ−1) ÷ r) × (1+r). Used for systematic investment planning.
Retirement Corpus Formula
Future Corpus = Current Savings × (1 + Return Rate)ⁿ. Used for retirement planning calculations.
Inflation Formula
Future Cost = Present Cost × (1 + Inflation Rate)ⁿ. Used to estimate future expenses.
Real Return Formula
Real Return = ((1 + Investment Return) ÷ (1 + Inflation)) − 1. Measures actual investment growth.
Debt-to-Income Ratio Formula
DTI = Monthly Debt Payments ÷ Monthly Gross Income × 100. Used in financial planning.
Cash Flow Formula
Cash Flow = Cash Inflows − Cash Outflows. Used for business financial analysis.
Operating Profit Formula
Operating Profit = Gross Profit − Operating Expenses. Used to measure business performance.
Gross Margin Formula
Gross Margin = (Gross Profit ÷ Revenue) × 100. Used in business profitability analysis.
Net Profit Margin Formula
Net Margin = (Net Profit ÷ Revenue) × 100. Measures company profitability.
Current Ratio Formula
Current Ratio = Current Assets ÷ Current Liabilities. Used for financial health analysis.
Quick Ratio Formula
Quick Ratio = Quick Assets ÷ Current Liabilities. Measures short-term financial strength.
Asset Turnover Ratio Formula
Asset Turnover = Revenue ÷ Average Total Assets. Used to measure asset efficiency.
Ecommerce Conversion Rate Formula
Conversion Rate = Orders ÷ Website Visitors × 100. Used in online business analytics.
Customer Acquisition Cost Formula
CAC = Marketing Cost ÷ Number of New Customers. Used in digital marketing analysis.
Customer Lifetime Value Formula
CLV = Average Purchase Value × Purchase Frequency × Customer Lifespan. Used in business growth planning.
Return on Advertising Spend Formula
ROAS = Revenue Generated ÷ Advertising Cost. Used for marketing campaign measurement.
Growth Rate Formula
Growth Rate = ((New Value − Old Value) ÷ Old Value) × 100. Used for business and financial growth analysis.
Churn Rate Formula
Churn Rate = Lost Customers ÷ Total Customers × 100. Used to measure customer retention performance.
Employee Turnover Rate Formula
Turnover Rate = Employees Leaving ÷ Average Employees × 100. Used in HR analytics.
Inventory Turnover Formula
Inventory Turnover = Cost of Goods Sold ÷ Average Inventory. Measures inventory efficiency.
Inventory Days Formula
Inventory Days = 365 ÷ Inventory Turnover. Used in supply chain calculations.
Break Even Sales Formula
Break Even Sales = Fixed Costs ÷ Contribution Margin Ratio. Used for business planning.
Weighted Average Formula
Weighted Average = Σ(Value × Weight) ÷ ΣWeights. Used in finance and academic calculations.
Z-Score Formula
Z = (Value − Mean) ÷ Standard Deviation. Used in statistics and data analysis.
Correlation Formula
Correlation measures relationship between two variables. Used in statistics and research analysis.
Regression Formula
Y = a + bX. Used for prediction and trend analysis.
Standard Error Formula
Standard Error = Standard Deviation ÷ √Sample Size. Used in statistical estimation.
Body Fat Percentage Formula
Body Fat % estimates body composition using measurements and calculations. Used in fitness calculators.
Calorie Requirement Formula
Calories = Basal Metabolic Rate × Activity Factor. Used in nutrition calculators.
BMR Formula
BMR estimates calories required by the body at rest. Used in health and fitness calculations.
Macro Nutrient Formula
Protein, Carbs and Fat calculations are based on calorie requirements. Used in diet planning calculators.
Age Formula
Age = Current Year − Birth Year. Used in age and date calculators.
Date Difference Formula
Date Difference = End Date − Start Date. Used in time and date calculators.
Time Conversion Formula
1 Hour = 60 Minutes = 3600 Seconds. Used in time conversion tools.
Length Conversion Formula
1 Meter = 100 Centimeters = 1000 Millimeters. Used in measurement calculators.
Currency Conversion Formula
Converted Amount = Amount × Exchange Rate. Used in currency calculators.
Compound Growth Formula
Future Value = Present Value × (1 + Growth Rate)ⁿ. Used for forecasting long-term growth.
100 Amazing Calculator Formulas
Explore the most useful mathematical, financial, business, health and scientific formulas used in modern calculators.
CalculatorPercentage Formula
Percentage = (Value ÷ Total Value) × 100. Used in percentage calculators for marks, discounts, growth and comparisons.
CalculatorSimple Interest Formula
SI = (P × R × T) ÷ 100. Calculates interest earned on loans, deposits and investments.
CalculatorCompound Interest Formula
A = P(1 + r/n)ⁿᵗ. Used to calculate long-term investment growth with compounding.
CalculatorCAGR Formula
CAGR = (Ending Value ÷ Beginning Value)^(1/n) − 1. Used to measure annual investment growth rate.
CalculatorAverage Formula
Average = Sum of Values ÷ Number of Values. Used in statistics and educational calculations.
CalculatorProfit Formula
Profit = Selling Price − Cost Price. Used for business and ecommerce profit calculations.
CalculatorProfit Percentage Formula
Profit % = (Profit ÷ Cost Price) × 100. Helps businesses analyze profit margins.
CalculatorDiscount Formula
Discount = Original Price − Final Price. Used in shopping and offer calculators.
CalculatorBMI Formula
BMI = Weight (kg) ÷ Height² (m²). Used in health and fitness calculators.
CalculatorLoan EMI Formula
EMI = P × r × (1+r)ⁿ ÷ ((1+r)ⁿ−1). Used for personal loan and home loan calculations.
CalculatorROI Formula
ROI = (Net Profit ÷ Investment Cost) × 100. Measures investment performance.
CalculatorNet Worth Formula
Net Worth = Total Assets − Total Liabilities. Used for personal financial analysis.
CalculatorTax Formula
Tax Amount = Taxable Income × Tax Rate. Used in income tax calculators.
CalculatorBreak Even Point Formula
BEP = Fixed Costs ÷ Contribution Margin. Used in business planning.
CalculatorRectangle Area Formula
Area = Length × Width. Used in measurement calculations.
CalculatorTriangle Area Formula
Area = ½ × Base × Height. Used in geometry and engineering.
CalculatorCircle Circumference Formula
Circumference = 2πr. Calculates distance around a circle.
CalculatorPercentage Increase Formula
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100. Used to calculate growth in prices, revenue and performance.
CalculatorPercentage Decrease Formula
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100. Used for discounts, depreciation and reductions.
CalculatorRatio Formula
Ratio = First Quantity : Second Quantity. Used for comparing values and proportions.
CalculatorProportion Formula
a:b = c:d → a × d = b × c. Used for solving proportional relationships.
CalculatorLCM Formula
LCM = Lowest Common Multiple of given numbers. Used in arithmetic and number calculations.
CalculatorHCF / GCD Formula
HCF = Highest Common Factor of given numbers. Used for simplifying mathematical problems.
CalculatorSquare Formula
Square of Number = Number × Number. Used in algebra and geometry calculations.
CalculatorCube Formula
Cube = Number × Number × Number. Used in volume and mathematical calculations.
CalculatorSquare Root Formula
√x gives the value which multiplied by itself equals x. Used in mathematics and engineering calculations.
CalculatorQuadratic Equation Formula
x = (-b ± √(b²−4ac)) ÷ 2a. Used to solve quadratic equations.
CalculatorArithmetic Mean Formula
Mean = Sum of All Values ÷ Total Number of Values. Used in statistics and analysis.
CalculatorMedian Formula
Median = Middle Value after arranging data in ascending order. Used in statistical calculations.
CalculatorMode Formula
Mode = Most Frequently Appearing Value. Used for finding common patterns in data.
CalculatorVariance Formula
Variance = Σ(x−μ)² ÷ N. Measures data spread from average values.
CalculatorStandard Deviation Formula
σ = √Variance. Shows how much values differ from the average.
CalculatorProbability Formula
Probability = Favorable Outcomes ÷ Total Possible Outcomes. Used in prediction and statistics calculators.
CalculatorCombination Formula
nCr = n! ÷ r!(n−r)!. Used when selecting items without order importance.
CalculatorDistance Formula
Distance = √((x₂−x₁)² + (y₂−y₁)²). Used in coordinate geometry.
CalculatorSpeed Formula
Speed = Distance ÷ Time. Used in travel calculators, physics and motion calculations.
CalculatorDistance Formula
Distance = Speed × Time. Calculates travel distance based on speed and duration.
CalculatorTime Formula
Time = Distance ÷ Speed. Used for journey planning and transportation calculations.
CalculatorAcceleration Formula
Acceleration = Change in Velocity ÷ Time. Used in physics and vehicle performance calculations.
CalculatorForce Formula
Force = Mass × Acceleration. Based on Newton's Second Law of Motion.
CalculatorWork Formula
Work = Force × Distance. Used in mechanical and energy calculations.
CalculatorKinetic Energy Formula
KE = ½ × Mass × Velocity². Calculates energy due to motion.
CalculatorPotential Energy Formula
PE = Mass × Gravity × Height. Used for gravitational energy calculations.
CalculatorMomentum Formula
Momentum = Mass × Velocity. Used in physics and collision calculations.
CalculatorOhm's Law Formula
V = I × R. Calculates voltage, current and resistance in electrical circuits.
CalculatorElectrical Power Formula
P = V × I. Used to calculate electrical power consumption.
CalculatorElectrical Energy Formula
Energy = Power × Time. Used in electricity bill and energy calculators.
CalculatorResistance Formula
Resistance = Voltage ÷ Current. Used in electrical engineering calculations.
CalculatorDensity Formula
Density = Mass ÷ Volume. Used in chemistry, physics and material science.
CalculatorPressure Formula
Pressure = Force ÷ Area. Used in fluid mechanics and engineering.
CalculatorHeat Energy Formula
Q = Mass × Specific Heat × Temperature Change. Used in thermal calculations.
CalculatorFrequency Formula
Frequency = Number of Cycles ÷ Time. Used in waves, electronics and signal processing.
CalculatorWavelength Formula
Wavelength = Wave Speed ÷ Frequency. Used in physics and communication systems.
CalculatorTemperature Conversion Formula
°C = (°F − 32) × 5/9. Used for Fahrenheit to Celsius conversion.
CalculatorMortgage Payment Formula
M = P[r(1+r)ⁿ] ÷ [(1+r)ⁿ−1]. Used for home loan and mortgage payment calculations.
CalculatorLoan Interest Formula
Interest = Total Repayment − Principal Amount. Used to calculate total loan cost.
CalculatorLoan Balance Formula
Remaining Balance = Original Loan − Principal Paid. Used in loan repayment calculators.
CalculatorSIP Investment Formula
FV = P × (((1+r)ⁿ−1) ÷ r) × (1+r). Used for systematic investment planning.
CalculatorRetirement Corpus Formula
Future Corpus = Current Savings × (1 + Return Rate)ⁿ. Used for retirement planning calculations.
CalculatorInflation Formula
Future Cost = Present Cost × (1 + Inflation Rate)ⁿ. Used to estimate future expenses.
CalculatorReal Return Formula
Real Return = ((1 + Investment Return) ÷ (1 + Inflation)) − 1. Measures actual investment growth.
CalculatorDebt-to-Income Ratio Formula
DTI = Monthly Debt Payments ÷ Monthly Gross Income × 100. Used in financial planning.
CalculatorCash Flow Formula
Cash Flow = Cash Inflows − Cash Outflows. Used for business financial analysis.
CalculatorOperating Profit Formula
Operating Profit = Gross Profit − Operating Expenses. Used to measure business performance.
CalculatorGross Margin Formula
Gross Margin = (Gross Profit ÷ Revenue) × 100. Used in business profitability analysis.
CalculatorNet Profit Margin Formula
Net Margin = (Net Profit ÷ Revenue) × 100. Measures company profitability.
CalculatorCurrent Ratio Formula
Current Ratio = Current Assets ÷ Current Liabilities. Used for financial health analysis.
CalculatorQuick Ratio Formula
Quick Ratio = Quick Assets ÷ Current Liabilities. Measures short-term financial strength.
CalculatorAsset Turnover Ratio Formula
Asset Turnover = Revenue ÷ Average Total Assets. Used to measure asset efficiency.
CalculatorEcommerce Conversion Rate Formula
Conversion Rate = Orders ÷ Website Visitors × 100. Used in online business analytics.
CalculatorCustomer Acquisition Cost Formula
CAC = Marketing Cost ÷ Number of New Customers. Used in digital marketing analysis.
CalculatorCustomer Lifetime Value Formula
CLV = Average Purchase Value × Purchase Frequency × Customer Lifespan. Used in business growth planning.
CalculatorReturn on Advertising Spend Formula
ROAS = Revenue Generated ÷ Advertising Cost. Used for marketing campaign measurement.
CalculatorGrowth Rate Formula
Growth Rate = ((New Value − Old Value) ÷ Old Value) × 100. Used for business and financial growth analysis.
CalculatorChurn Rate Formula
Churn Rate = Lost Customers ÷ Total Customers × 100. Used to measure customer retention performance.
CalculatorEmployee Turnover Rate Formula
Turnover Rate = Employees Leaving ÷ Average Employees × 100. Used in HR analytics.
CalculatorInventory Turnover Formula
Inventory Turnover = Cost of Goods Sold ÷ Average Inventory. Measures inventory efficiency.
CalculatorInventory Days Formula
Inventory Days = 365 ÷ Inventory Turnover. Used in supply chain calculations.
CalculatorBreak Even Sales Formula
Break Even Sales = Fixed Costs ÷ Contribution Margin Ratio. Used for business planning.
CalculatorWeighted Average Formula
Weighted Average = Σ(Value × Weight) ÷ ΣWeights. Used in finance and academic calculations.
CalculatorZ-Score Formula
Z = (Value − Mean) ÷ Standard Deviation. Used in statistics and data analysis.
CalculatorCorrelation Formula
Correlation measures relationship between two variables. Used in statistics and research analysis.
CalculatorStandard Error Formula
Standard Error = Standard Deviation ÷ √Sample Size. Used in statistical estimation.
CalculatorBody Fat Percentage Formula
Body Fat % estimates body composition using measurements and calculations. Used in fitness calculators.
CalculatorCalorie Requirement Formula
Calories = Basal Metabolic Rate × Activity Factor. Used in nutrition calculators.
CalculatorBMR Formula
BMR estimates calories required by the body at rest. Used in health and fitness calculations.
CalculatorMacro Nutrient Formula
Protein, Carbs and Fat calculations are based on calorie requirements. Used in diet planning calculators.
CalculatorAge Formula
Age = Current Year − Birth Year. Used in age and date calculators.
CalculatorDate Difference Formula
Date Difference = End Date − Start Date. Used in time and date calculators.
CalculatorTime Conversion Formula
1 Hour = 60 Minutes = 3600 Seconds. Used in time conversion tools.
CalculatorLength Conversion Formula
1 Meter = 100 Centimeters = 1000 Millimeters. Used in measurement calculators.
CalculatorCurrency Conversion Formula
Converted Amount = Amount × Exchange Rate. Used in currency calculators.
CalculatorCompound Growth Formula
Future Value = Present Value × (1 + Growth Rate)ⁿ. Used for forecasting long-term growth.
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