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Percentage Calculator

Work out percentages, discounts and increases in one place: what a percentage of a value is, what percentage one figure is of another, the percentage change between two values, and what a price becomes after a discount or an increase.

Pick what you want to work out and fill in the two fields. The same calculator does percentages, discounts and increases. For example, 20% of 100 is 20.

Result
20

Educational estimate, not financial advice. It calculates percentages; for VAT, income tax or interest, use the dedicated calculators.

1

The four calculations it covers

A percentage is a part of a hundred. This calculator handles the four usual questions: what a percentage of a value is (20% of 250), what percentage one figure is of another (30 out of 250), how much a value has changed relative to another in percentage terms, and what is left after increasing or reducing an amount by a percentage.

2

Discounts and sales

A discount is a percentage reduction. To find the final price of an €80 item with 30% off, choose the option to reduce a value by a percentage: the result is €56, with €24 saved. The calculator shows both figures, because in a sale you usually care as much about what you save as about what you pay. For the typical shopping cases, chained discounts and reconstructing the original price, there is a dedicated discount calculator.

3

The most common mistake: up and down by the same percentage does not return you to the start

If a €100 price rises by 20% it becomes €120. If it then falls by 20%, it does not return to €100 but to €96, because the second percentage applies to a larger base. The same holds in reverse. It is the most frequent confusion with percentages, and worth checking before accepting an offer that claims to "give the increase back".

4

Percentage points are not the same as per cent

If an interest rate goes from 2% to 3%, it has risen by one percentage point, but it has increased by 50% in relative terms. Both statements are correct and describe the same thing, so it pays to notice which one an economic news story is using.

Worked example

Example: a pair of shoes costs €80 and is reduced by 30%. Reduce 80 by 30% and you get a €56 final price and €24 saved. If a further 10% is taken at the till on that already-reduced price, the total discount is not 40%: €56 less 10% is €50.40, which is 37% off the original price, not 40%.

Frequently asked questions

How do you calculate a percentage of an amount?
Multiply the amount by the percentage and divide by a hundred. 20% of 250 is 250 × 20 ÷ 100 = 50. In the calculator, pick the first option and enter the two numbers.
How do I calculate a discount?
Choose the option to reduce a value by a percentage. Enter the original price and the discount rate: you will see the final price and how much you save. For an increase, such as adding a surcharge, use the same option in the other direction.
What percentage is one number of another?
Divide the part by the total and multiply by a hundred. 30 out of 250 is 30 ÷ 250 × 100 = 12%. This is the calculation used to see how much weight a cost carries within a budget.
If a price rises 20% and then falls 20%, does it return to the original?
No. It ends up 4% below the original, because the fall applies to a larger amount than the rise did. €100 rises to €120 and then falls to €96.
How is percentage change calculated between two values?
Subtract the starting value from the final one, divide by the starting value and multiply by a hundred. From 250 to 300 the change is (300 − 250) ÷ 250 × 100 = 20%. A negative result means a fall.

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Author: Thorben Rasmus Idel · Reviewed by: Nahar Geva · Last reviewed: