Percentage Calculator
Work out percentages every way they come up: a percent of a number, what percent one number is of another, and percentage increase or decrease. It removes the guesswork from the math people most often get wrong.
Smart Percentage Calculator
Quickly calculate percentage values, changes, and comparisons using a simple, user-friendly interface.
The three percentage questions
Almost every real percentage problem is one of three: 'what is X% of Y' (a tip, a discount), 'X is what percent of Y' (a score, a share), and 'what is the percent change from X to Y' (a price rise, a result improvement). Mixing these up is the usual source of errors.
The tool gives each its own clear input, so you pick the question first and just enter the numbers, rather than trying to remember which way to divide.
The trap with percentage change
Percentage increase and decrease are not symmetric.
- A 50% drop then a 50% rise does not return to the start, because each percent is taken from a different base.
- Percent change is always measured against the original value, not the new one.
- A rise from 20 to 25 is a 25% increase, but a fall from 25 to 20 is a 20% decrease.
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FAQs
How do I find X% of a number?▼
Multiply the number by X divided by 100. For 15% of 200, that is 200 x 0.15 = 30. The tool does this when you choose the 'percent of' option.
How do I work out what percent one number is of another?▼
Divide the part by the whole and multiply by 100. 30 out of 200 is 30/200 x 100 = 15%.
How is percentage change calculated?▼
Subtract the old value from the new, divide by the old value, and multiply by 100. A change from 80 to 100 is (100-80)/80 x 100 = 25%.
Why isn't a 50% decrease cancelled by a 50% increase?▼
Because each percentage applies to a different base. 100 down 50% is 50; 50 up 50% is 75, not 100. Percent changes do not simply add or cancel.
Is percentage change measured from the old or new value?▼
Always from the original (old) value. That is the reference point, which is why a rise and the matching fall are different percentages.
Is my calculation private?▼
Yes. It runs in your browser with no data sent anywhere.
How do I add a percentage, like tax, to a price?▼
Multiply by one plus the rate. To add 18%, multiply by 1.18. To remove it from an inclusive price, divide by 1.18.
What is a percentage point versus a percent?▼
A percentage point is an absolute difference between two percentages (5% to 7% is 2 points), while a percent change between them is relative (a 40% increase). They are easy to confuse in reports.
Can it handle decimals and large numbers?▼
Yes. It works with decimal inputs and large values, useful for finance, statistics, and everyday math alike.
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