Work out percentages, ratios and percentage change in one place, no formulas to remember.
Calculation
Finds a percentage of a value, useful for tips, discounts and shares.
Result
30
Percentages turn up everywhere: a 20% tip, a 15%-off sale, an exam score, a pay rise, or the return on an investment. This free percentage calculator handles the three questions people ask most: what is X% of a number, what percentage one number is of another, and how much a value has gone up or down. Type your numbers and the answer appears instantly, along with a plain-English sentence so you can see exactly what it means. No sign-up, no app, nothing to install.
A percentage is just a fraction out of 100. Every calculation on this page comes down to one of three simple formulas, depending on what you already know and what you want to find.
% of a number: result = (X ÷ 100) × Y
X is what % of Y: result = (X ÷ Y) × 100
% change from X to Y: result = ((Y − X) ÷ X) × 100
For percentage change, a positive result is an increase and a negative result is a decrease. For example, going from 200 to 250 is a 25% increase, while going from 250 to 200 is a 20% decrease. The two are not the same, because the starting number is different each time.
Divide the percentage by 100, then multiply by the number. For example, 15% of 200 is (15 ÷ 100) × 200 = 30. Use the first mode above and it does this for you automatically.
Divide the first number by the second, then multiply by 100. For example, 30 out of 200 is (30 ÷ 200) × 100 = 15%. Switch to the second mode to calculate this instantly.
Subtract the original value from the new value, divide by the original value, then multiply by 100. Going from 200 to 250 is ((250 − 200) ÷ 200) × 100 = 25% increase. The third mode labels the result as an increase or decrease for you.
Because the base changes. A 25% increase on 200 gives 250, but a 25% decrease on 250 gives 187.5, not 200. The decrease is applied to a larger number. That's why raising then dropping a value by the same percentage never brings you back to where you started.
The calculator shows a dash instead of an error. Percentages that would require dividing by zero, such as asking what percent a number is of zero, have no defined answer, so nothing is shown until you enter valid values.
Divide the marks you scored by the total marks, then multiply by 100. Scoring 437 out of 500 gives (437 ÷ 500) × 100 = 87.4%. For several subjects, add up all your marks and all the maximum marks first, then apply the same formula, rather than averaging the individual subject percentages. Use the second mode above and enter your score and the total.
Work out the discount amount as a percentage of the original price, then subtract it. On a ₹2,499 item at 30% off, the discount is (30 ÷ 100) × 2499 = ₹749.70, leaving ₹1,749.30. A quick shortcut is to multiply the price by 0.70, since paying 30% less means paying 70%. The first mode gives you the discount amount in one step.
They measure different things. If an interest rate rises from 4% to 6%, that is an increase of 2 percentage points, but a 50% increase in relative terms, because 2 divided by 4 is 0.5. Percentage points describe the plain gap between two percentages; percent describes the change relative to the starting figure. News reports about rates and vote shares often confuse the two.
Divide instead of multiply. If 30 is 15% of a number, the original is 30 ÷ (15 ÷ 100) = 200. If a price of ₹1,749 is what remains after a 30% discount, the original was 1749 ÷ 0.70 = ₹2,498.57. The key is to divide by the decimal form of the percentage that the figure you have represents, not to add the same percentage back on.
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