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Calculation explained
How this result was calculated
The formula, your substituted values, and the evaluated result are shown below.
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How the result changes when the first input changes
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This calculator applies the percentage relationship. Enter values in the stated units and review the result. Check assumptions and use appropriate professional guidance for safety-critical decisions.Keep exploring
Calculate percentage using clearly labelled inputs.
Calculator guide
How the percentage calculator works
A percentage says how much of a whole something is, out of 100:
Percentage = part ÷ whole × 100
Worked examples
You scored 45 out of 60: 45 ÷ 60 × 100 = 75%
18 of 24 team members voted: 18 ÷ 24 × 100 = 75%
$320 of a $1,280 budget spent: 320 ÷ 1,280 × 100 = 25%
The three percentage questions
Almost every percentage problem is one of these: | Question | Formula | Example | | What percent is A of B? | A ÷ B × 100 | 45 of 60 = 75% | | What is X% of B? | X ÷ 100 × B | 15% of 80 = 12 | | A is X% of what? | A ÷ (X ÷ 100) | 12 is 15% of 80 |
This calculator answers the first. Use the second for tips, discounts and tax, and the third to work back to an original number.
Mental maths shortcuts
10%: move the decimal point one place left (10% of 250 = 25)
5%: half of 10% (12.50)
1%: move the decimal two places (2.50)
X% of Y equals Y% of X: 8% of 50 is the same as 50% of 8, which is 4
Percentages vs percentage points
If an interest rate goes from 4% to 5%, it has risen by 1 percentage point, but by 25% in relative terms. News reports often mix these up. For changes over time, use the percentage change calculator.
Common mistakes
Putting the numbers the wrong way round (60 ÷ 45 instead of 45 ÷ 60).
Adding percentages that have different bases.
Forgetting that 100% is the whole. More than 100% means the part is bigger than the whole.
How do I work out a percentage of a total?
Divide the part by the total and multiply by 100. For example, 30 out of 120 is 25%.
How do I calculate 20% of a number?
Multiply the number by 0.2. For example, 20% of 350 = 70.
What is the difference between percent and percentage points?
A percentage point is an absolute difference between percentages (4% to 5% is 1 point). Percent change is relative (a 25% rise).