In this article
A CGPA (cumulative grade point average) is an average of grade points on a scale, usually 10 in India. A percentage is the share of marks you scored out of the total. The two are not the same measurement, so the conversion needs a formula, and the right formula depends on who issued your result.
The CBSE rule: multiply by 9.5
CBSE's guidance for its 10-point scale is to multiply the CGPA by 9.5 to get an approximate percentage. The 9.5 comes from studying how grade points relate to marks across the grading bands, and it is a deliberate round figure rather than an exact one.
- 1Take the CGPA8.4 on a 10-point scale.
- 2Multiply by 9.58.4 × 9.5 = **79.8**.
- 3Write the resultApproximately **79.8%**.
The reverse: 79.8 ÷ 9.5 = 8.4. This is an approximation, not the actual marks scored.
Lookup table
| CGPA | × 9.5 (CBSE style) | (CGPA − 0.75) × 10 |
|---|---|---|
| 6.0 | 57.0% | 52.5% |
| 6.5 | 61.75% | 57.5% |
| 7.0 | 66.5% | 62.5% |
| 7.5 | 71.25% | 67.5% |
| 8.0 | 76.0% | 72.5% |
| 8.4 | 79.8% | 76.5% |
| 8.5 | 80.75% | 77.5% |
| 9.0 | 85.5% | 82.5% |
| 9.5 | 90.25% | 87.5% |
| 10.0 | 95.0% | 92.5% |
Two common rules give answers 3 to 4 points apart. The second formula is used by some universities, so ask yours.
Under the 9.5 rule even a perfect 10 converts to 95%, not 100%. That is by design.
Percentage back to CGPA
Divide by 9.5. A student with 78.5% has a CGPA of about 8.26. Round according to the form's instructions, usually to one or two decimals.
| Percentage | CGPA (÷ 9.5) |
|---|---|
| 60% | 6.32 |
| 70% | 7.37 |
| 80% | 8.42 |
| 90% | 9.47 |
| 95% | 10.00 |
Above 95% the formula would give more than 10, which cannot exist on the scale, so such results are capped.
Why different institutions use different formulas
A grade point is an average over grading bands, not a score. Universities set their own bands, which is why no formula fits everyone.
The same CGPA under three rules
A 7.5-point spread for one CGPA. This is why you should not mix formulas between applications.
CGPA, SGPA and GPA: what is the difference?
- SGPA is for one semester. It is the grade-point average of that semester's subjects, weighted by credits.
- CGPA is cumulative. It averages every semester so far, again weighted by credits.
- GPA is the general term. Many countries use a 4.0 scale, so an Indian 10-point CGPA cannot be compared to a US GPA without a conversion service.
- Percentage needs the total marks. CGPA hides the exact marks inside each grade band.
Weighted by credits means a 4-credit subject counts twice as much as a 2-credit one. For example, grade points 9 in a 4-credit subject and 7 in a 2-credit subject give (9 × 4 + 7 × 2) ÷ 6 = 8.33, not the plain average of 8.
Filling in a form correctly
- Read the instruction next to the field. It may say 'percentage as per university formula'.
- Use your institution's rule. If none is stated, say which one you used.
- Round the way you are told. If no instruction, two decimals is safe.
- Keep the CGPA too if the form has a field for it.
- Carry your marksheet. Verification will use the official document.
Questions people ask
How do I convert CGPA to percentage?
For CBSE's 10-point scale, multiply the CGPA by 9.5. For example, a CGPA of 8.4 is 79.8 percent. Other universities may use their own formula.
How do I convert percentage to CGPA?
Divide the percentage by 9.5. A 78.5 percent score is about 8.26 CGPA.
Why is 9.5 used and not 10?
The multiplier reflects the way grade points map to marks across grading bands. It gives a conservative approximation, so a CGPA of 10 converts to 95 percent.
Is the converted percentage my actual marks?
No. It is an approximation. The actual marks scored may be higher or lower than the converted figure.
Do all universities use the same formula?
No. Some use CGPA × 9.5, others use (CGPA − 0.75) × 10, CGPA × 10 or a custom table. Use the rule published by your own institution.
What is the difference between SGPA and CGPA?
SGPA is the grade-point average of one semester, while CGPA is the cumulative average across all semesters, weighted by credits.