Percentage Calculator
Calculate percentages instantly — percentage of a number, percentage change, increase, and decrease.
Updated
What is X% of Y?
X is what % of Y?
Percentage Change from X to Y
Increase/Decrease X by Y%
How to Calculate Percentages
A percentage is a way of expressing a number as a fraction of 100. The word "percent" literally means "per hundred." Percentages are used everywhere — from shopping discounts and tax rates to statistics and data analysis.
Part = (Percentage × Whole) / 100
% Change = ((New - Old) / |Old|) × 100
Common Percentage Conversions
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.50 | 50% |
| 1/3 | 0.333 | 33.3% |
| 1/4 | 0.25 | 25% |
| 1/5 | 0.20 | 20% |
| 1/8 | 0.125 | 12.5% |
| 1/10 | 0.10 | 10% |
Frequently Asked Questions
How do I calculate a percentage of a number?
Multiply the number by the percentage and divide by 100. For example, 25% of 80 is 80 × 25 ÷ 100 = 20.
How do I calculate percentage increase or decrease?
Subtract the old value from the new value, divide by the old value, then multiply by 100. Going from 50 to 65 is (65 − 50) ÷ 50 × 100 = a 30% increase.
What is the difference between percent and percentage points?
Percent measures relative change, while percentage points measure the simple difference between two percentages. If a rate moves from 10% to 12%, that is a rise of 2 percentage points but a 20% relative increase.
How do I find the original number after a percentage was applied?
Divide the final value by (1 + rate) for an increase or (1 − rate) for a decrease, with the rate as a decimal. If a price is $115 after 15% was added, the original was 115 ÷ 1.15 = $100.