Percentage Calculator
Every everyday percentage sum in one place, with the formula and working shown.
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What is 15% of 2,000?
Try an example
Negative numbers and decimals work. Commas are fine: 1,50,000 or 150,000.
Answer
300
15% of 2,000 is 300
Formula
Result = (X ÷ 100) × Y
Step by step
- 1Turn the percentage into a decimal: 15 ÷ 100 = 0.15
- 2Multiply by the number: 0.15 × 2,000 = 300
- 2,000 minus 15%
- 1,700
- 2,000 plus 15%
- 2,300
How percentages are worked out
“Per cent” means “out of 100”, so every percentage sum is a multiplication or division by 100. To find X% of Y, turn the percentage into a decimal and multiply: 18% of 1,500 is 18 ÷ 100 × 1,500 = 270. To find what percent X is of Y, divide and multiply by 100: 45 out of 60 is 45 ÷ 60 × 100 = 75%. Pick the sum you need from the tabs above; each one shows the formula and every step, so you can copy the working into homework or a report.
How to calculate a percentage increase or decrease
Subtract the old value from the new one, divide by the old value and multiply by 100. A price that goes from 400 to 500 rises by (500 − 400) ÷ 400 × 100 = 25%. Going back down from 500 to 400 is only a 20% fall, because the starting point is now bigger — which is why a 25% rise followed by a 25% cut leaves you below where you began. A change from zero can’t be written as a percentage at all, so the calculator shows the plain difference instead.
Marks percentage and CGPA to percentage
Divide the marks you got by the total and multiply by 100: 432 out of 500 is 432 ÷ 500 × 100 = 86.4%. Add up all subjects first if you need an overall figure. For CBSE CGPA, the board’s convention is percentage = CGPA × 9.5, so a CGPA of 8.6 is about 81.7%. Universities and other boards often use different conversions, so treat this as a guide and check your marksheet.
Finding the original price (reverse percentage)
When you know the final amount and the percentage it represents, divide by that percentage as a decimal. A bill of 1,770 that already includes 18% GST is 118% of the original, so the price before tax is 1,770 ÷ 1.18 = 1,500 and the GST is 270. Don’t take 18% off 1,770 — that gives 1,451.40, which is wrong.
Frequently asked questions
- How do I add 18% GST to a price?
- Multiply the price by 1.18. Use the “Add or take off %” tab: 1,500 increased by 18% is 1,770, of which 270 is GST.
- Is a percentage change the same as a change in percentage points?
- No. If an interest rate moves from 8% to 10%, it rose by 2 percentage points, but by 25% in relative terms (2 ÷ 8 × 100). Enter 8 and 10 in the “% increase / decrease” tab to see the relative change.
- Why does the answer show 2 decimal places?
- Results are rounded to 2 decimals for reading (1 ÷ 3 shows as 33.33%), while very small numbers keep 3 significant figures. The steps keep 4 decimals so the working adds up.
- Can I use negative numbers?
- Yes. Negative values work in every tab. For a change from a negative starting value, the percentage is measured against its size, so check the plain difference shown alongside it too.