Where the conversion formulas come from
There is no national conversion rule
India has no single authority that converts a grade point average into a percentage. Boards, universities and autonomous institutes each decide, and many decide differently. When a website prints "your CGPA is 76%" without naming a rule, it has quietly picked one for you.
Why 9.5, and why 10 gives 95%
The multiplier most people meet first comes from CBSE. It was not chosen to make the arithmetic tidy: it was derived from the marks of past top scorers. Across several years, the average of the top-scoring subjects sat at around 95%, and grade point 10 was mapped onto that figure. Divide 95 by 10 and you have 9.5.
This is why a perfect CGPA converts to 95% and not to 100%, and why no amount of rounding will get you the last five points. The rule is a straight line through 95, not a rescaling to a full hundred. People report this as a bug in calculators several times a year; it is the rule behaving exactly as designed.
What a university actually publishes
This is the part that surprised us, and it is the reason this site prints its working. We went to a primary source — the grading documentation of Maulana Abul Kalam Azad University of Technology, West Bengal — expecting to find a formula. There is no formula. There is a table of five reference points.
| DGPA (as published) | Percentage (as published) | (DGPA − 0.75) × 10 |
|---|---|---|
| 10.0 | 92.5% | 92.5% exact |
| 9.0 | 82.5% | 82.5% exact |
| 8.0 | 72.5% | 72.5% exact |
| 7.0 | 62.5% | 62.5% exact |
| 6.0 | 52.5% | 52.5% exact |
A straight line fits all five rows exactly. So the formula (DGPA − 0.75) × 10 is a correct reading of what this university published — but it is a reading, derived by us from the table. The university did not write it down that way.
And the table says DGPA, not CGPA.
Sites that republish this rule almost universally relabel it as CGPA. That is a real difference, not pedantry: a Degree Grade Point Average and a Cumulative Grade Point Average are not guaranteed to be the same number for the same student. Apply the rule to the wrong one and you will quote a percentage your own university would not agree with.
What this means when you convert your own CGPA
- Find what your university published, not what a calculator assumed. Look for a grading or examination page, an ordinance, or the back of your own transcript, where the scheme is often printed.
- Check what the rule is stated for — CGPA, DGPA, SGPA, or a specific programme. The label is part of the rule.
- If it is a table, do not fit a line to it unless the line actually passes through every published point. Many conversion tables map bands to bands and no multiplier reproduces them.
- If you find nothing, say so when you quote the figure: "76.0% (CGPA 8.0 × 9.5, CBSE convention; no university rule published)". An admissions officer can work with that. A bare number they cannot reproduce is what gets queried.
Apply a rule now
The rule name and the substitution are printed under the result — the two things this page argues you should always quote.
Between 0 and 10
Not sure which one applies? See where each rule comes from.
A CGPA of 10 gives 95%, not 100%. That is not a rounding error. The 9.5 multiplier was derived from the average marks of past top scorers, which sat at about 95% — so the top grade point maps to 95%. The rule has no way to produce 100%.
This is the arithmetic of the rule you selected. Whether a particular admissions office accepts it is their decision, not ours — quote the rule your university published, with its date.