Percentage Calculator
Quickly calculate X% of Y, what percentage one number is of another, or the percentage change between two values.
Examples: 200 × 15 % = 30. 500 + 10 % = 550. 200 − 10 % = 180.
Or use the standard form below
What is Percentage Calculator?
A percentage is simply a fraction out of 100. "Percent" literally means "per hundred." Percentages are how Americans compare discounts, sales tax, tips, investment returns, test scores, and year-over-year growth rates.
This calculator handles the three percentage problems you meet most often: finding a percentage of a number, expressing one number as a percentage of another, and calculating percentage change.
Formula
- X% of Y = (X ÷ 100) × Y
- X as a percentage of Y = (X ÷ Y) × 100
- Percentage change = ((new − old) ÷ old) × 100
Worked example
What is 25% of 200?
(25 ÷ 100) × 200 = 0.25 × 200 = 50
30 is what percentage of 150?
(30 ÷ 150) × 100 = 20%
A stock rises from $80 to $100 — what is the percent change?
((100 − 80) ÷ 80) × 100 = 25%
How to use this calculator
- Choose which kind of percentage problem you want to solve.
- Enter X and Y — their meaning changes with the mode.
- Read the result instantly.
Frequently asked questions
How do I convert a fraction to a percentage?
Divide the numerator by the denominator, then multiply by 100. For example, 3/4 = 0.75 × 100 = 75%.
What is the difference between percentage and percentage points?
If the Fed raises rates from 5% to 7%, that is a 2 percentage point increase but a 40% relative increase. News reports often conflate the two — be careful.
Can a percentage be greater than 100?
Yes. Any ratio greater than 1 gives a percentage above 100. Doubling is a 100% increase; tripling is a 200% increase.
How do I calculate a discount?
Discount dollars = original price × discount percent ÷ 100. Final price = original − discount. For a $120 item at 25% off: discount = $30, final price = $90.