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Percentage Increase Calculator

This percentage increase calculator works out how much a number has gone up or down in percentage terms. Enter the original and the new value to see the percentage increase or decrease with the formula, or use the second box to increase or decrease any number by a percentage, for example a 12% pay rise or a 15% price cut.

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Percentage Increase Calculator
Percentage increase —

Increase or decrease a number by a percentage

by % = —

How to use the percentage increase calculator

  1. 1 Enter the original value, for example last year's price.
  2. 2 Enter the new value, for example this year's price.
  3. 3 Read the percentage increase or decrease and the formula used.
  4. 4 To apply a change, use the lower box: choose increase or decrease, enter the number and the percent.

Avoiding common percentage change mistakes

  • Divide by the old value: the change is always measured against the starting number. Going from 80 to 100 is a 25% increase, but 100 to 80 is a 20% decrease.
  • Ups and downs do not cancel: a 50% rise followed by a 50% fall leaves you at 75% of where you started.
  • Finding the original: if a price is 1,150 after a 15% rise, the original is 1,150 ÷ 1.15 = 1,000, not 1,150 minus 15%.
  • Over 100%: doubling is a 100% increase and tripling is 200%.
  • Inflation: a 10% pay rise in a year with 8% inflation is only about a 2% real rise.

Need a simple share of a number? Use the Percentage Calculator. Comparing loan rates? See what each one costs with the Loan EMI Calculator.

Features

Increase or decrease

The result shows a + or − sign and switches its label automatically.

Formula shown

See (new − old) ÷ old × 100 with your numbers in it.

Apply a percentage

Add or take off a percentage from any number in the second box.

When to use it

Prices

Fuel went from 250 to 280: that is a 12% increase. Find a share of a number with the Percentage Calculator.

Salary

Check what a 10% raise on your salary will be. See what a rate rise costs with the Loan EMI Calculator.

Business

Compare this month's sales with last month's as a percentage.

Marks and scores

See how much your test score improved between two exams.

Related Math tasks

Frequently asked questions

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: (100 − 80) ÷ 80 × 100 = 25%.

How do I calculate percentage decrease?

Use the same formula; the answer is negative. From 100 to 80: (80 − 100) ÷ 100 × 100 = −20%.

Why is a 25% increase not undone by a 25% decrease?

Because the base changes. 80 up 25% is 100, but 100 down 25% is 75, not 80.

What if the original value is zero?

A change from zero cannot be expressed as a percentage, because you cannot divide by zero.

How do I add a percentage to a number?

Multiply by 1 plus the percentage as a decimal. 250 plus 12% is 250 × 1.12 = 280.

How do I calculate the percentage increase in my salary?

Enter your old salary as the original value and your new salary as the new value. A rise from 60,000 to 66,000 is (66,000 − 60,000) ÷ 60,000 × 100 = 10%. To see what a planned rise will pay, use the lower box and increase your salary by the percentage you were offered.

Can the percentage increase be more than 100%?

Yes. If a value more than doubles, the increase is over 100%. Going from 50 to 150 is a 200% increase, because the rise of 100 is twice the original 50.

What is the difference between percentage change and percentage points?

If an interest rate moves from 4% to 5%, it rose by 1 percentage point, but by 25% in percentage terms. The calculator gives the percentage change.

How do I find the original value before an increase?

Divide the new value by 1 plus the percentage as a decimal. If a price is 280 after a 12% rise, the original was 280 ÷ 1.12 = 250.

How do I work out a pay rise in percent?

Subtract your old salary from the new one, divide by the old salary and multiply by 100. A rise from 80,000 to 86,000 is 6,000 ÷ 80,000 × 100 = 7.5%.

What is compound growth over several years?

Percentage changes multiply rather than add. Three years of 10% growth is 1.1 × 1.1 × 1.1 = 1.331, a 33.1% total increase, not 30%.

HF

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