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Percentage Increase Calculator

Calculate percentage growth online — free, step by step. The increase in percent from two values, or the value after a percentage increase.

Quick answer
How do you calculate a percentage increase?
Percentage increase is the rise divided by the old value, times 100: (new − old) ÷ old · 100. Example: from 200 to 250 that is (250 − 200) ÷ 200 · 100 = 25% increase. To grow a value by p%, compute value + value · p ÷ 100.
The tool

Enter values — get full working

By what percent does the value rise?
Comma or dot as decimal separator, negative values allowed.
Step-by-step
Press Calculate to see every step.
HowTo

Percentage Increase Calculator — step-by-step

How do you calculate a percentage increase?
  1. 1
    Step 1 of 4

    Choose values or a percentage

    Either two values (old and new) and you want the increase in percent, or a starting value and a growth percentage and you want the new value.

  2. 2
    Step 2 of 4

    Find the rise

    With two values: new − old. Example 250 − 200 = 50. When applying: value · p ÷ 100, e.g. 200 · 25 ÷ 100 = 50.

  3. 3
    Step 3 of 4

    Relate or add

    For the increase in percent: 50 ÷ 200 = 0.25. For the new value: 200 + 50 = 250.

  4. 4
    Step 4 of 4

    State the result

    Increase: 0.25 · 100 = 25%. Or new value: 250.

Examples

Percentage Increase Calculator — examples

Worked examples with full working
200 → 250
(250 − 200) ÷ 200 · 100
25%
200 + 25%
200 + (200 · 25 ÷ 100)
= 200 + 50
250
80 → 120
(120 − 80) ÷ 80 · 100
50%
120 + 15%
120 + (120 · 15 ÷ 100)
138
1,000 → 1,300
(1300 − 1000) ÷ 1000 · 100
30%
50 + 200%
50 + (50 · 200 ÷ 100)
150
Theory

What is a percentage increase?

A percentage increase (percentage growth) describes by what share a value has grown, relative to the starting value. It is (new value − old value) ÷ old value · 100. Conversely, you raise a value by p% by adding value · p ÷ 100 — or more compactly by multiplying by the factor (1 + p ÷ 100). So "plus 25%" equals multiplying by 1.25. Percentage growth underpins compound interest, raises, price rises and growth rates.

Pitfalls

Common mistakes

Wrong reference value

The increase is relative to the old value. From 200 to 250 is a 25% increase.

Repeated growth doesn't add

Two +10% increases don't make +20%, but 1.1 · 1.1 = 1.21, so +21%.

Increase doesn't offset a decrease

After −20% you need +25% (not +20%) to return to the start.
FAQ

Frequently asked questions

Glossary

Glossary — key terms explained simply

Whole (base)
The reference value that equals 100%.
Part (value)
The amount that belongs to a percentage.
Rate
The percentage (per hundred).
Difference
The result of a subtraction (new − old).
Relative
Expressed against a reference, dimensionless.
Absolute
In the unit of the quantity, without reference.
Factor
Number you multiply by (e.g. 1.25 for +25%).
Percentage point
Absolute difference between two percentages.