Percentage Calculator
Every common percentage question in one place — what is X% of Y, X as a percentage of Y, and percentage change.
Your details
This calculator runs entirely on your device. Nothing you enter is uploaded, stored, or sold. How this works
15.00% of 240.00
36.00
15.00 ÷ 100 × 240.00
Includes your inputs, the full breakdown, and every row of the table.
Result
36.00
Remaining
204.00
As a fraction
0.1500 × 240.00
- Percentage
- 15.00%
- Of
- 240.00
- Result
- 36.00
What this means
- To reverse this, divide the result by the original number and multiply by 100.
How the percentage calculation works
Almost every percentage question reduces to one of four forms, and the confusion usually comes from not being sure which one you are being asked. Finding a percentage of a number is multiplication. Expressing one number as a percentage of another is division. Percentage change compares a difference against the starting value. And working backwards from a part to the whole is division by the percentage.
The form that causes the most trouble is percentage change, because it is not symmetric. A rise from 100 to 150 is a 50% increase, but the fall from 150 back to 100 is a 33.3% decrease — the same absolute movement measured against a different base. This asymmetry is behind a great deal of misleading statistics, and it is why a stock that halves needs to double simply to break even.
Frequently asked questions
What is the difference between percentage change and percentage points?
If a rate moves from 4% to 6%, that is a rise of two percentage points but a 50% increase. Both are correct and they describe very different magnitudes, which is why the distinction gets exploited in headlines. Percentage points compare the values directly; percentage change compares the movement against the starting value.
Why does a 50% loss need a 100% gain to recover?
Because each percentage applies to a different base. Losing half of $100 leaves $50, and getting back to $100 from $50 means doubling — a 100% gain. The bigger the loss, the more dramatic the effect: an 80% fall requires a 400% rise to break even.
How do I add or remove a percentage quickly?
To add 20%, multiply by 1.2. To remove a 20% markup that has already been applied, divide by 1.2 rather than multiplying by 0.8 — those give different answers, and mixing them up is the most common percentage error in pricing and tax work.
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Disclaimer. This calculator is provided for general information and educational purposes only and does not constitute financial, tax, legal, medical, or engineering advice. Results are estimates based on the inputs you provide and the assumptions described above. Confirm any figure with a qualified professional before acting on it.