Percentage Calculator

Calculate percentages instantly — find X% of Y, what percent one number is of another, percentage change, increase, and decrease.

📊 Percentage Calculator

Result

25% of 20050.00
Formula(25 / 100) × 200 = 50.00

💡 What is a Percentage and How Do You Calculate It?

A percentage is a way of expressing a number as a fraction of 100. The word itself comes from the Latin 'per centum,' meaning 'by the hundred.' Percentages are used everywhere — in discounts and sales tax, exam scores, statistics, finance (interest rates, inflation), and data analysis. Understanding how to calculate percentages is one of the most practical mathematical skills.

There are five common percentage calculations: (1) finding X% of a number, (2) finding what percentage one number is of another, (3) calculating the percentage change between two values, (4) increasing a number by a given percentage, and (5) decreasing a number by a given percentage. Our calculator handles all five modes with step-by-step formulas shown for each calculation.

Percentage calculations are the backbone of financial literacy. Interest rates, tax rates, discounts, tips, profit margins, inflation, and investment returns are all expressed as percentages. Mastering these calculations helps you make better decisions about money, data, and everyday math problems.

Example: What is 15% of 240? → (15 ÷ 100) × 240 = 36. Or: 45 is what % of 180? → (45 ÷ 180) × 100 = 25%.
Percentage = (Part / Whole) × 100

Where:

  • Part = The value you want to express as a percentage
  • Whole = The total or reference value (denominator)
  • 100 = Multiplier to convert the fraction to a percentage

📝 Worked Example

1

What is 25% of 200?

(25/100) × 200

= 50

2

36 is what % of 150?

(36/150) × 100

= 24%

3

% change from 80 to 100

((100-80)/80) × 100

= 25% increase

Percentage Calculator FAQ

🔗 Related Calculators

Fraction CalculatorConvert between fractions and percentagesAverage CalculatorCalculate mean, median, and modeStandard DeviationMeasure data variabilityCompound InterestApply percentages to investment growth

🔗 Related Calculators

Percentage Decrease CalculatorCalculate the percentage decrease between two values instantly. See the percent decrease formula, step-by-step solution, and the absolute difference.Fraction to Percent CalculatorConvert any fraction or mixed number to a percentage. See the step-by-step division and multiplication with a conversion chart.Exponent CalculatorCalculate any base raised to any power — including negative, fractional, and zero exponents. See the exponent laws and step-by-step explanation.Average Calculator — Mean, Median, ModeCalculate the mean, median, mode, range, and sum of any set of numbers. Paste or type your data and get instant descriptive statistics.Standard Deviation CalculatorCalculate population and sample standard deviation, variance, mean, and more from any dataset. See step-by-step calculation with formulas explained.

📘 Key Term

PercentageA percentage is a mathematical fraction expressed as a portion of 100, denoted by the percent sign (%). In the world of personal finance and banking, percentages form the very bedrock of all calculations. They are used extensively to define crucial metrics such as annual interest rates on home loans, expected compound annual growth rates (CAGR) on mutual fund SIPs, fixed deposit maturity interest, varying tax brackets, and even simple merchant discounts. Understanding how percentages work allows individuals to accurately compare different financial products—for example, evaluating whether a flat interest rate of 8% is truly cheaper than a reducing balance rate of 10%. To convert any fraction to a percentage, you simply multiply it by 100, and conversely, to find a specific percentage X of a total value Y, you use the formula (X/100) × Y. Whether you are splitting a bill or calculating an EMI schedule, percentages are indispensable.Read full definition →