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Percentage Calculator

Find percentages, percentage increase or decrease, percentage change, difference and discounts — with the formula shown for every answer.

What is X% of Y?

What is % of ?

X is what percent of Y?

is what % of ?

Percentage change (increase / decrease)

From to

Increase or decrease a number by a percentage

increased by %

Percentage off (discount price)

Price with % off

Percentage difference between two numbers

and

Percentage formulas

X% of Y = X ÷ 100 × Y. Example: 20% of 150 = 0.2 × 150 = 30.

X is what % of Y = X ÷ Y × 100. Example: 30 is 20% of 150.

Percentage change = (New − Old) ÷ |Old| × 100. A positive result is an increase, negative is a decrease. From 80 to 100 is a 25% increase.

Percentage difference = |A − B| ÷ ((A + B) ÷ 2) × 100. It compares two values when neither is the “original”.

Price after discount = Price × (1 − Discount ÷ 100). $80 with 25% off = $60, a saving of $20.

Frequently asked questions

How do I calculate a percentage of a number?

Divide the percentage by 100 and multiply by the number. 20% of 150 = 0.2 × 150 = 30.

How do I calculate percentage increase?

Subtract the old value from the new value, divide by the old value and multiply by 100. From 80 to 100 = 20 ÷ 80 × 100 = 25% increase.

What is the difference between percentage change and percentage difference?

Percentage change compares a new value to an original one. Percentage difference compares two values against their average when neither is the original.

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