Percentage Calculator
Calculate percentages, percentage increase/decrease, and percentage of a number with step-by-step calculations. Perfect for math, finance, and everyday calculations.
What is X% of Y?
Percentage Calculations
Percentage calculations are fundamental mathematical operations used in finance, statistics, and everyday life. Our calculator provides three main types of percentage calculations with step-by-step explanations.
Calculation Methods
Understanding the formulas behind percentage calculations helps you verify results and solve problems manually:
Example: 25% of 200 = (25 ÷ 100) × 200 = 50
Example: From 100 to 120 = ((120 - 100) ÷ 100) × 100 = 20%
Example: 50 is what % of 200 = (50 ÷ 200) × 100 = 25%
Common Percentage Examples
| Calculation | Formula | Result |
|---|---|---|
| 25% of 200 | (25 ÷ 100) × 200 | 50 |
| From 100 to 120 | ((120 - 100) ÷ 100) × 100 | 20% increase |
| From 200 to 150 | ((150 - 200) ÷ 200) × 100 | 25% decrease |
| 50 is what % of 200 | (50 ÷ 200) × 100 | 25% |
| 10% of 500 | (10 ÷ 100) × 500 | 50 |
- Finance: Calculate interest rates, discounts, and investment returns
- Business: Analyze sales growth, profit margins, and market share
- Education: Grade calculations and test score analysis
- Statistics: Data analysis and probability calculations
- Shopping: Calculate discounts, tips, and tax amounts
Frequently Asked Questions
How do you calculate a percentage?
To calculate a percentage, divide the part by the whole and multiply by 100. For example, to find 25% of 200: (25 ÷ 100) × 200 = 50.
How do you calculate percentage increase?
To calculate percentage increase, use the formula: ((New Value - Original Value) ÷ Original Value) × 100. For example, from 100 to 120: ((120 - 100) ÷ 100) × 100 = 20% increase.
What is the difference between percentage and percentile?
A percentage is a fraction out of 100, while a percentile indicates the value below which a certain percentage of data falls. Percentages are used for calculations, percentiles for statistical rankings.
Common Percentage Calculations
Click on these links to see instant calculations with common values: