How to calculate percentage of marks
To calculate the percentage of marks, divide the marks you scored by the total (maximum) marks and multiply by 100. It works the same for a single test, a full board exam or a university semester.
Formula
Percentage = (Marks obtained ÷ Total marks) × 100
- Add up the marks you obtained in every subject you are counting.
- Add up the maximum marks of those same subjects.
- Divide your marks by the maximum marks.
- Multiply by 100 and round to two decimal places.
Worked examples
412 out of 500 → 412 ÷ 500 × 100 = 82.4%
538 out of 600 → 538 ÷ 600 × 100 = 89.67%
67 out of 80 → 67 ÷ 80 × 100 = 83.75%
How to convert percentage to marks
Going the other way, a percentage is your score expressed out of 100. To find the marks it represents, scale it to the total marks of your exam. Switch the calculator above to % → Marks to try your own numbers.
Formula
Marks obtained = (Percentage ÷ 100) × Total marks
Worked examples
85% of 500 marks → 0.85 × 500 = 425 marks
72.5% of 600 marks → 0.725 × 600 = 435 marks
33% of 80 marks → 0.33 × 80 = 26.4 marks (you would need 27 to pass, since marks are rarely fractional)
Percentage to marks conversion table
Marks equivalent to common percentages for the most frequent exam totals.
| Percentage | Out of 100 | Out of 200 | Out of 500 | Out of 600 | Out of 1000 |
|---|---|---|---|---|---|
| 100% | 100 | 200 | 500 | 600 | 1,000 |
| 95% | 95 | 190 | 475 | 570 | 950 |
| 90% | 90 | 180 | 450 | 540 | 900 |
| 85% | 85 | 170 | 425 | 510 | 850 |
| 80% | 80 | 160 | 400 | 480 | 800 |
| 75% | 75 | 150 | 375 | 450 | 750 |
| 70% | 70 | 140 | 350 | 420 | 700 |
| 65% | 65 | 130 | 325 | 390 | 650 |
| 60% | 60 | 120 | 300 | 360 | 600 |
| 55% | 55 | 110 | 275 | 330 | 550 |
| 50% | 50 | 100 | 250 | 300 | 500 |
| 45% | 45 | 90 | 225 | 270 | 450 |
| 40% | 40 | 80 | 200 | 240 | 400 |
| 35% | 35 | 70 | 175 | 210 | 350 |
| 33% | 33 | 66 | 165 | 198 | 330 |
Marks to percentage table (out of 500)
Class 10 and 12 students often have five subjects of 100 marks each. Here is what common totals out of 500 work out to.
| Marks out of 500 | Percentage | Division |
|---|---|---|
| 500 | 100% | First Class with Distinction |
| 480 | 96% | First Class with Distinction |
| 460 | 92% | First Class with Distinction |
| 440 | 88% | First Class with Distinction |
| 420 | 84% | First Class with Distinction |
| 400 | 80% | First Class with Distinction |
| 380 | 76% | First Class with Distinction |
| 360 | 72% | First Class |
| 340 | 68% | First Class |
| 320 | 64% | First Class |
| 300 | 60% | First Class |
| 280 | 56% | Second Class |
| 260 | 52% | Second Class |
| 240 | 48% | Pass Class |
| 220 | 44% | Pass Class |
| 200 | 40% | Pass Class |
How to calculate percentage of marks of 5 or 6 subjects
When you have marks in several subjects, add up everything you scored, add up all the maximum marks, and divide one by the other. The Subject-wise tab in the calculator does this for any number of subjects, even when each subject has a different maximum.
Formula
Overall % = (Sum of marks obtained ÷ Sum of maximum marks) × 100
| Subject | Marks obtained | Maximum marks | Subject % |
|---|---|---|---|
| English | 82 | 100 | 82% |
| Mathematics | 91 | 100 | 91% |
| Physics (theory + practical) | 76 | 100 | 76% |
| Chemistry (theory + practical) | 69 | 100 | 69% |
| Computer Science | 88 | 100 | 88% |
| Hindi | 64 | 100 | 64% |
| Total | 470 | 600 | 78.33% |
Percentage of all 6 subjects = 470 ÷ 600 × 100 = 78.33%.
6 subjects: all six or best five?
Many Class 10 and 12 students take six subjects, but admissions often count only the best five. Here, dropping Hindi (64) leaves 406 out of 500 = 81.2%, compared with 78.33% for all six. Use whichever method the admission notice asks for.
Don't average subject percentages when maximum marks differ
Suppose you scored 45/50 (90%) in one paper and 60/100 (60%) in another. Averaging the two percentages gives 75%, but your real result is 105 out of 150 = 70%. Averaging percentages only works when every subject has the same maximum marks.
How many marks do you need for a target percentage?
This is the same formula used for planning. Multiply your target percentage by the total marks to get the marks you need, then subtract what you have already scored.
Formula
Marks still needed = (Target % ÷ 100 × Total marks) − Marks already scored
Example
You want 75% across a 600-mark exam and have already scored 280 marks in four papers. You need 0.75 × 600 = 450 marks overall, so the remaining papers must give you 170 marks.
How to calculate 10th and 12th percentage (CBSE)
CBSE does not declare an aggregate percentage or division on its marksheets. Under its examination bye-laws, the Board leaves it to the college, university or employer to calculate a percentage if they need one — and, if you took more than five subjects, to decide which five to count.
- All subjects: add the marks of every subject on your marksheet and divide by the total maximum marks.
- Best of five: many institutions take your five highest-scoring subjects (some insist on including English or a language). Add those five and divide by 500.
Always read the admission notice to see which method it uses. The difference can be several percentage points if your sixth subject was your weakest.
Passing marks for common totals
Passing thresholds vary by board and university, commonly 33%, 35% or 40% per subject. Check your board or university rules; some also require a minimum separately in theory and practical components.
| Total marks | 33% | 35% | 40% | 50% |
|---|---|---|---|---|
| 50 | 16.5 | 17.5 | 20 | 25 |
| 80 | 26.4 | 28 | 32 | 40 |
| 100 | 33 | 35 | 40 | 50 |
| 150 | 49.5 | 52.5 | 60 | 75 |
| 200 | 66 | 70 | 80 | 100 |
Converting CGPA instead of percentage?
If your marksheet shows grade points rather than marks, convert them first. The CGPA to marks calculator turns a CGPA directly into marks out of any total, the CGPA to percentage calculator gives the percentage, and the percentage to GPA calculator helps when a university abroad asks for a 4.0-scale GPA.
Common mistakes
- Averaging percentages across subjects with different maximum marks (see the example above).
- Leaving out practical or internal-assessment marks. Most boards add them to the subject total.
- Using the wrong total. If you count six subjects, the total is 600, not 500.
- Rounding up to meet a cut-off. Round only the final percentage, and never round 74.96% up to 75% on an application — many cut-offs are applied strictly.
- Mixing grace or bonus marks into your calculation when the marksheet does not include them in the total.