How to use it
- Choose what you want to work out: Marks %, X% of Y, X is what % of Y, or % change.
- Type your numbers. For marks, enter the total, or switch to “Subject-wise” and add each subject’s marks.
- The answer updates instantly. Below it you’ll see the formula used, with your own numbers filled in.
Percentage formulas at a glance
| Question | Formula | Example |
|---|---|---|
| Marks percentage | (Obtained ÷ Total) × 100 | (432 ÷ 500) × 100 = 86.4% |
| X% of Y | (X ÷ 100) × Y | 15% of 2,400 = 360 |
| X is what % of Y | (X ÷ Y) × 100 | (45 ÷ 60) × 100 = 75% |
| % increase / decrease | ((New − Old) ÷ Old) × 100 | 25,000 → 30,000 = +20% |
How to calculate marks percentage
Add up the marks you got in every subject, add up the maximum marks, divide the first total by the second and multiply by 100. Say you scored 78, 85, 92, 88 and 81 out of 100 in five subjects:
- Marks obtained = 78 + 85 + 92 + 88 + 81 = 424
- Total marks = 5 × 100 = 500
- Percentage = (424 ÷ 500) × 100 = 84.8%
Different maximum marks? Don’t average the subject percentages. If you got 45 out of 50 (90%) and 60 out of 100 (60%), the average of the two percentages is 75%, but your real percentage is (105 ÷ 150) × 100 = 70%. The subject-wise mode above adds the marks correctly for you.
Some boards, universities and admission forms count only selected subjects (for example “best of five”) or ask for an aggregate calculated in a particular way. Follow the rule given by your institution or in the form’s instructions.
Percentage increase and decrease
Always divide by the old value. If your salary rises from ₹25,000 to ₹30,000, the change is ₹5,000, and (5,000 ÷ 25,000) × 100 = 20% increase. If a price falls from ₹500 to ₹400, it is a 20% decrease.
A rise and a fall of the same percentage do not cancel out: 100 increased by 20% is 120, but 120 decreased by 20% is 96, not 100 — because the second 20% is taken from a bigger number.
Percentage vs percentage points
If a cut-off moves from 60% to 65%, it has gone up by 5 percentage points, but by (5 ÷ 60) × 100 = 8.33 percent. News reports and result analyses mix these up often, so check which one is meant.
Got a CGPA instead of marks?
If your marksheet shows a CGPA, convert it first with the CGPA to percentage converter, which supports the CBSE, × 10 and VTU formulas.