Loading...
Loading...
Loading calculator...
Calculate percentages quickly and easily. Find what percent one number is of another, calculate percentage increase/decrease, percentage change, and percentage difference between two values.
25% of 200 is 50
(25 ÷ 100) × 200 = 50This calculator provides mathematical calculations for educational and informational purposes. Always verify important calculations.
Results are rounded for display but calculations use full precision.
A percentage calculator is a mathematical tool that helps you solve various percentage-related problems quickly and accurately. Percentages are used extensively in everyday life—from calculating discounts and tips to understanding financial growth, test scores, and statistical data. Our calculator supports five different calculation modes to handle any percentage problem you might encounter.
Our percentage calculator offers five powerful calculation modes:
What is X% of Y? – Find a percentage of any number (e.g., 20% of 150 = 30)
X is what % of Y? – Determine what percentage one number is of another (e.g., 30 is 20% of 150)
X is Y% of what? – Find the original number from a percentage result (e.g., 30 is 20% of 150)
Percentage Change – Calculate increase or decrease between two values (e.g., 100 to 125 = 25% increase)
Percentage Difference – Find the relative difference between two values using their average as base
(X ÷ 100) × Y = ResultExample: What is 25% of 200? (25 ÷ 100) × 200 = 50
(X ÷ Y) × 100 = PercentageExample: 50 is what % of 200? (50 ÷ 200) × 100 = 25%
X ÷ (Y ÷ 100) = Original NumberExample: 50 is 25% of what? 50 ÷ (25 ÷ 100) = 200
((New - Old) ÷ |Old|) × 100 = % ChangeExample: From 100 to 125: ((125 - 100) ÷ 100) × 100 = 25% increase
|X - Y| ÷ ((|X| + |Y|) ÷ 2) × 100 = % DifferenceExample: Between 100 and 120: 20 ÷ 110 × 100 = 18.18%
To find X% of Y, multiply Y by X and divide by 100. For example, 20% of 150 = (150 × 20) ÷ 100 = 30. This is like finding a fraction of the whole number.
Percentage change measures the relative change from one specific value to another (has direction: increase or decrease). Percentage difference measures how different two values are compared to their average (no direction, always positive).
Subtract the original value from the new value, divide by the original value, and multiply by 100. If the result is positive, it's an increase. Formula: ((New - Old) ÷ Old) × 100.
Use the same formula as percentage increase. If the result is negative, it's a decrease. The absolute value tells you the percentage of decrease. For example, going from 100 to 80 is a 20% decrease.
Yes! A percentage greater than 100% means the result is larger than the original reference value. For example, 200% of 50 is 100, which is double the original number.
The word 'percent' comes from Latin 'per centum' meaning 'by the hundred.' A percentage is simply a number expressed as a fraction of 100. So 25% means 25 out of 100, or 25/100 = 0.25.
To convert a fraction to percentage: divide and multiply by 100 (1/4 = 0.25 × 100 = 25%). To convert decimal to percentage: multiply by 100 (0.75 × 100 = 75%). To convert percentage to decimal: divide by 100 (60% ÷ 100 = 0.6).
Percentage difference uses the average of two values as the reference point because neither value is considered the 'starting' point. This makes it symmetric—the percentage difference between A and B is the same as between B and A.