Calculate Percentage Increase
Find the final value after applying a percentage increase.
- 100 × 20 = 2,000
- 2,000 ÷ 100 = 20
- 100 + 20 = 120
Quick Examples
Try these common percentage increase calculations
How to Calculate a Percentage Increase
To increase a number by a percentage, first calculate the percentage of the original value, then add that amount to the original value.
For example, to increase 100 by 20%:
100 × 20 ÷ 100 = 20
100 + 20 = 120
So, increasing 100 by 20% gives a final value of 120.
Percentage Increase Formula
Final Value = Original Value + (Original Value × Percentage ÷ 100)
For example, increasing 200 by 15%:
Increase = 200 × 15 ÷ 100 = 30
Final Value = 200 + 30 = 230
Percentage Increase vs. Percentage Change
A percentage increase can describe either increasing a value by a chosen percentage or measuring how much a value has increased from its original amount.
If you already know the original and new values and want to find the percentage increase between them, use:
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
For example, if a value rises from 80 to 100, the increase is 20. Dividing 20 by the original value of 80 and multiplying by 100 gives a percentage increase of 25%.
Examples of Percentage Increases
| Original Value | Increase | Final Value |
|---|---|---|
| 100 | 10% | 110 |
| 45 | 5% | 47.25 |
| 200 | 15% | 230 |
| 1,500 | 45% | 2,175 |
When Is a Percentage Increase Useful?
Percentage increases are useful whenever you want to calculate how much a value will grow. Common examples include:
- calculating salary raises;
- working out price increases;
- measuring business growth;
- adjusting budgets or fees;
- tracking savings or investment growth;
- comparing changes over time.
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