Enter the numbers
Fill in the section highlighted at the top.
Percentage increase calculator
Enter an amount and the percentage to add, and get the new value and the difference. A second calculation gives the percentage increase between two numbers.
- Free
- No sign-up
- Runs in your browser
What is X% of Y?
X is what percent of Y?
Percentage change from A to B
Increase or decrease an amount by a percentage
X is P% of what number?
100% private — the calculation is done in your browser and nothing is sent to any server.
Next step
Keep going with your result in another tool. Nothing is uploaded.
How it works
Read the answer
The result appears at the top of the list.
Check the formula
The formula is shown under each result.
How to increase a number by a percentage
To increase a number by a percentage, multiply it by 1 plus the percentage as a decimal. Increasing 80 by 25% is 80 × 1.25 = 100, an increase of 20. In the calculator above, enter the amount and the percentage in the section increase or decrease an amount and choose increase; the new value and the difference appear at the top of the results.
The formula
- New value = amount × (1 + percentage ÷ 100)
- Increase = amount × percentage ÷ 100
- Percentage increase between two values = (new − old) ÷ old × 100
A worked example, step by step
A shop raises the price of a jacket from 80 by 25%. Step 1: turn 25% into a decimal, 0.25. Step 2: add 1, which gives 1.25. Step 3: multiply, 80 × 1.25 = 100. The new price is 100, which is 20 more than before. You can check it the other way: 20 ÷ 80 × 100 = 25%. If the rise is applied twice, do the multiplication twice instead of adding the percentages.
Examples
| Amount | Increase | New value | Difference |
|---|---|---|---|
| 50 | 10% | 55 | 5 |
| 80 | 25% | 100 | 20 |
| 200 | 15% | 230 | 30 |
| 1,200 | 3% | 1,236 | 36 |
| 35 | 50% | 52.5 | 17.5 |
Where you use it
- Price rises, salary raises and rent increases.
- Adding a margin, tip or service charge to a price.
- Growth in sales, visitors or followers between two periods.
- Scaling recipes and quantities up.
Common mistakes
- Adding the percentage as a number: 25% of 80 is 20, not 25.
- Increasing and then decreasing by the same percentage does not return to the start: +25% then −25% leaves 93.75 from 100.
- Comparing percentages of different bases: a 10% rise of a large amount is more than a 20% rise of a small one.
Private by design
The calculation runs in your browser as you type. The amounts you enter are never sent to a server, so you can use real prices, invoices and quotes.
Frequently asked questions
How do I calculate a 10% increase?
Multiply by 1.1. For example, 200 × 1.1 = 220.
How do I find the percentage increase between two numbers?
Subtract the old value from the new one, divide by the old value and multiply by 100. From 80 to 100: (100 − 80) ÷ 80 × 100 = 25%.
Why is a 50% increase followed by a 50% decrease not the same as the start?
Because the second percentage is taken of a bigger number. 100 rises to 150, and 50% of 150 is 75, which leaves 75.
Is this converter free?
Yes. There is no sign-up and no limit, and it runs in your browser, so nothing you type is sent to a server.
Does it work on a phone?
Yes. It works in any modern mobile browser, and the result updates as you type.
Related tools
More utilities that also run without leaving your browser.
Pixels, rem, em, points and millimetresConvert between px, rem, em, pt, pc, mm, cm and inches, with your root font size.
Rule of three calculatorFind the missing number in a direct or inverse proportion.
Split an amount into partsDivide an amount into equal parts or in proportion to shares, with cents that add up exactly.
Unit converterConvert length, weight, volume, temperature, speed and more between metric and imperial units.
VAT calculatorAdd VAT to a price, or find the price before VAT from a total.
Aspect ratio calculatorFind the aspect ratio of a size, and the width or height that keeps it when you resize.