Multiple percentage calculations in one tool: find percentages, increases, decreases, and more.
A percentage is a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "per hundred." Percentages are used everywhere: discounts, taxes, grades, statistics, and financial calculations.
| Question | Formula | Example |
|---|---|---|
| What is X% of Y? | Result = Y × (X / 100) | 25% of 200 = 200 × 0.25 = 50 |
| X is what % of Y? | % = (X / Y) × 100 | 50 is what % of 200? = (50/200) × 100 = 25% |
| % Change from A to B | % = ((B - A) / A) × 100 | From 80 to 100 = ((100-80)/80) × 100 = 25% |
| Increase X by Y% | Result = X × (1 + Y/100) | 200 + 15% = 200 × 1.15 = 230 |
| Decrease X by Y% | Result = X × (1 - Y/100) | 200 - 15% = 200 × 0.85 = 170 |
To convert a percentage to a decimal, divide by 100 (e.g., 25% = 0.25). To convert a decimal to a percentage, multiply by 100 (e.g., 0.75 = 75%). To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100 (e.g., 3/4 = 0.75 = 75%).