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Percentage Calculator

Free percentage calculator for all percent problems: find X percent of Y, what percent X is of Y, and percent increase or decrease between two numbers.

Percentage calculator — stop guessing, get the answer in seconds

About this tool

Percentages show up everywhere: sale discounts, tips, grades, interest rates, and statistics. The math is simple, but it is easy to mix up which number goes where - and a small mistake can cost real money.

This percentage calculator handles the three most common percent problems. Pick the type of question you have, enter your two numbers, and get an instant, exact answer.

How to use

First choose the mode that matches your question: 'X is what % of Y' (for example, 45 is what percent of 180), 'X% of Y' (for example, 20% of 250), or percent increase/decrease between two numbers.

Enter X and Y, then press Calculate Percentage. The answer appears right away, formatted to two decimal places, so you can use it directly in your own math.

The math behind it

The three modes use three formulas. 'X is what percent of Y' divides X by Y and multiplies by 100. 'X percent of Y' multiplies Y by X/100. Percent change subtracts the old value from the new value, divides by the old value, and multiplies by 100 - a positive result is an increase, a negative one a decrease.

For example, going from 80 to 100 is (100-80)/80 x 100 = 25% increase.

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 200 is 200 × 25 ÷ 100 = 50.
How do I calculate percentage increase or decrease?
Subtract the old value from the new value, divide by the old value and multiply by 100. A price rising from $80 to $100 is (100 − 80) ÷ 80 × 100 = 25% increase.
How do I calculate the price after a discount?
Multiply the original price by (1 − discount ÷ 100). A 20% discount on $50 is $50 × 0.80 = $40 — you save $10.
What is the difference between percentage change and percentage difference?
Percentage change compares a new value against an original starting value. Percentage difference compares two values against their average — for when neither is the “starting point”, like two quotes for the same job.
How do I find the original price before a percentage discount?
Divide the final price by (1 − discount ÷ 100). If you paid $40 after a 20% discount, the original price was $40 ÷ 0.80 = $50.

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