What is X% of Y?
To calculate a percentage of a number, convert the percentage to a decimal and multiply it by the number.
Result = (Percentage ÷ 100) × Number
Example: 20% of 500 is 100.
Mathematical Calculator
Percentage Calculator
Calculate percentages quickly and accurately. Find a percentage of a number, determine what percentage one number is of another, and calculate percentage increases, decreases, and differences.
Calculate a Percentage
Select the calculation you want to perform and enter the required numbers.
What is X% of Y?
Result
20% of 500 = 100
100
Percentage Calculations
X is what percent of Y?
Divide the first number by the second number and multiply the result by 100.
Percentage = (X ÷ Y) × 100
Example: 25 is 25% of 100.
Percentage Increase
Percentage increase measures how much a value has grown relative to its original value.
Increase % = ((New − Original) ÷ Original) × 100
Percentage Decrease
Percentage decrease measures how much a value has fallen compared with the original value.
Decrease % = ((Original − New) ÷ Original) × 100
Percentage Difference
Percentage difference is useful when neither value is treated as the original or reference value. The absolute difference is divided by the average of the two values.
Percentage Difference = |A − B| ÷ ((A + B) ÷ 2) × 100
Percentage Examples
| Calculation | Example | Answer |
|---|---|---|
| Percentage of a number | 15% of 200 | 30 |
| Percentage relationship | 30 is what % of 120? | 25% |
| Percentage increase | 100 to 125 | 25% increase |
| Percentage decrease | 200 to 150 | 25% decrease |
| Percentage difference | 100 and 120 | 18.18% |
Where Percentage Calculations Are Used
Business
Businesses use percentages to analyze revenue growth, costs, margins, discounts, commissions, and performance.
Finance
Percentage calculations are commonly used for returns, rates, financial comparisons, and changes in investment values.
Shopping
Calculate discounts, sales prices, price increases, and savings when comparing products or services.
Education
Percentages are used for grades, test scores, statistics, and mathematical problem solving.
Statistics
Percentages help express proportions, distributions, changes, and comparisons in data.
Everyday Decisions
Percentages make it easier to compare prices, budgets, changes, savings, and quantities.
Percentage Calculator FAQs
How do I calculate a percentage of a number?
Convert the percentage into a decimal and multiply it by the number. For example, 20% of 500 is 0.20 × 500 = 100.
How do I calculate what percentage one number is of another?
Divide the number being compared by the reference number and multiply by 100. For example, 25 ÷ 100 × 100 = 25%.
How do I calculate percentage increase?
Subtract the original value from the new value, divide the result by the original value, and multiply by 100.
How do I calculate percentage decrease?
Subtract the new value from the original value, divide by the original value, and multiply by 100.
What is the difference between percentage difference and percentage change?
Percentage change uses a specific original value as the reference. Percentage difference compares two values without treating either one as the original, using their average as the reference.
Can percentages be greater than 100%?
Yes. A percentage can exceed 100% when the quantity being measured is greater than the reference amount. For example, 200 is 200% of 100.
What is 10% of 1,000?
10% of 1,000 is 100.
What is 25% of 500?
25% of 500 is 125.
Need help with business calculations?
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