Marks to CGPA calculator
percentage = total scored ÷ total maximum × 100
313 ÷ 400 × 100 = 78.25%
(78.25 ÷ 10) + 0.75 = 8.57
Two conversions run here, and the second one depends on a formula your university publishes. Confirm it before putting the CGPA on a form.
Totals are added before dividing. Averaging per-subject percentages gives a different — and wrong — answer whenever the maximums differ.
Two conversions, stacked
Turning marks into a CGPA is two steps, not one. First your marks become a percentage — total scored over total maximum. Then that percentage becomes a grade point using the inverse of whatever formula your university applies. This page shows both steps separately, because stacking two conventions compounds whatever error is in each, and a single number hides that.
The deeper problem is that this is not how your college does it. A university does not take your aggregate percentage and convert it. It awards a grade point per subject, from marks bands set in the ordinance — 90 and above is a 10, the eighties are a 9, and so on — and then takes the credit-weighted average of those grade points. Because each subject is rounded into a band before the averaging happens, the real CGPA and the one recovered from an aggregate percentage are usually close but rarely identical.
The direction of the gap depends on where your marks sit inside their bands. Score 90 in one subject and 80 in another and both round up generously; score 89 and 79 and both round down. Two students with a one-mark difference can end a semester a full tenth of a grade point apart, and no aggregate-percentage method can see that.
Use this when you need an estimate before results are declared, or when a form wants a CGPA and all you hold is a marksheet. Do not use it to challenge a published figure — your grade card is the record, and the arithmetic behind it is per subject.
If you only need the percentage, marks percentage stops at that step. To go the other way, CGPA to marks estimates the mark behind a grade point.
Marks, percentage and the recovered grade point
| Marks / total | Percentage | CGPA (general) |
|---|---|---|
| 313 / 400 | 78.25% | 8.57 |
| 375 / 500 | 75.00% | 8.25 |
| 400 / 500 | 80.00% | 8.75 |
| 450 / 500 | 90.00% | 9.75 |
| 520 / 700 | 74.28% | 8.17 |
| 612 / 700 | 87.42% | 9.49 |
| 88 / 100 | 88.00% | 9.55 |
| 66 / 100 | 66.00% | 7.35 |
Three mistakes to avoid
Frequently asked
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Last updated 6 August 2026 · reviewed by Ajay Sukhadeve