Percentage Calculator

Three ways to calculate percentages — pick the one you need.

What is X% of Y?

Percentage (%)

Of number

Result

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X is what % of Y?

Number (X)

Of number (Y)

Result

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Percentage change from X to Y

From (original)

To (new value)

Result

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Quick Answer

To find what % A is of B: (A ÷ B) × 100. To find X% of N: (X ÷ 100) × N. To find percentage change: ((New − Old) ÷ Old) × 100. To find original value before a % increase: divide final by (1 + rate). Before a % decrease: divide by (1 − rate).

How to calculate percentages

A percentage expresses one number as a fraction of another, scaled to 100. To find what percent A is of B: (A / B) x 100. To find X% of a number N: (X / 100) x N. This calculator handles all three common types: basic percentage, percentage change, and reverse percentage.

Percentage increase and decrease

Percentage change = ((New - Old) / Old) x 100. A positive result is an increase, a negative result is a decrease. If sales go from $50,000 to $65,000, the increase is ((65,000 - 50,000) / 50,000) x 100 = 30%.

Reverse percentage

To find the original value before a percentage increase or decrease, divide the final value by (1 + rate) for increases, or (1 - rate) for decreases. If a product costs $85 after a 15% discount, the original price was 85 / 0.85 = $100.

Frequently asked questions

How do you calculate a percentage?

To find what percentage A is of B: divide A by B and multiply by 100. For example, 30 out of 200 is (30 / 200) x 100 = 15%.

How do you calculate percentage increase?

Percentage increase = ((New Value - Old Value) / Old Value) x 100. If a price goes from $80 to $100, the increase is ((100 - 80) / 80) x 100 = 25%.

How do you find the original value before a percentage change?

Divide the new value by (1 + the percentage as a decimal). If a $120 price includes a 20% increase, the original was 120 / 1.20 = $100.

What is the difference between percentage and percentage points?

Percentage points are the arithmetic difference between two percentages. If interest rates rise from 2% to 5%, that is a 3 percentage point increase, but a 150% increase in the rate itself.