Percentage Calculator

Work out percentages, percent change, and discounts on one page.

Percent of a number

of
Result15

100 × 15% = 15

What percent

out of
Result30%

30 ÷ 100 × 100 = 30%

Percent change

Fromto
Result+25%

(125 − 100) ÷ 100 × 100 = +25%

Up 25

Increase or decrease

by
Result85

100 × (1 − 15%) = 85

Down 15

Percentage Calculator

This percentage calculator handles the four percentage questions people ask most, on one page. Change any number and the result and formula update right away.

B% of A = A × B ÷ 100

A out of B as a percent = A ÷ B × 100

Percent change = (new − starting) ÷ starting × 100

A increased by B% = A × (1 + B ÷ 100)

How to use

  1. Type numbers into the calculation you need. There is no Calculate button; results appear as you type.
  2. In Increase or decrease, click a discount or tip rate to fill in the percent and direction.

Key terms

Percent vs. percentage point

A percentage point is the plain difference between two percentages. A percent change compares that difference with the starting percentage.

ExamplePercentage pointsPercent
Interest rate 2% → 3%Up 1 pointUp 50%
Vote share 40% → 30%Down 10 pointsDown 25%

Percent change

How much a value grew or shrank, as a share of where it started. If the starting value is 0, there is nothing to divide by, so percent change is undefined.

Why +10% and then −10% doesn’t get you back

The second step is a percentage of the new, larger number.

100 × 1.1 = 110 → 110 × 0.9 = 99

To get back to 100 you need to take 10 off 110, which is only about 9.09% of 110.

10 ÷ 110 × 100 ≈ 9.09%

FAQ

How do I calculate a tip?

Multiply the bill by the tip rate. A 15% tip on $80 is 80 × 0.15 = $12, so the total is $92. Click Tip 15% in Increase or decrease to see the total.

Is 30% off and then an extra 20% off the same as 50% off?

No. The extra 20% comes off the already reduced price, so you pay 0.7 × 0.8 = 0.56 of the original price. That is 44% off.

How do I find the price before sales tax?

Divide the total by 1 plus the tax rate. With a 7% tax, a $53.50 total is 53.50 ÷ 1.07 = $50 before tax. Sales tax rates vary by state and city.

Are my numbers saved?

No. Nothing is saved or sent to a server. All calculations happen in this browser.

References

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