SGPA and CGPA Calculator (10-Point Scale)
Calculate SGPA and CGPA from credits and grade points, and convert CGPA to a percentage.
How to calculate SGPA
The semester grade point average (SGPA) is a credit-weighted average of your grade points: SGPA = Σ(credits × grade point) ÷ Σ(credits). For six courses with credits 4, 4, 3, 3, 2 and 2 and grades A+, A, B+, O, A and A+ (grade points 9, 8, 7, 10, 8, 9), the credit points are 36 + 32 + 21 + 30 + 16 + 18 = 153 over 18 credits, so the SGPA is 8.50.
| Grade | Grade point | Typical marks range |
|---|---|---|
| O (outstanding) | 10 | 90 to 100 |
| A+ | 9 | 80 to 89 |
| A | 8 | 70 to 79 |
| B+ | 7 | 60 to 69 |
| B | 6 | 55 to 59 |
| C | 5 | 50 to 54 |
| P (pass) | 4 | 45 to 49 |
| F or RA (fail or reappear) | 0 | Below the pass mark |
This is a widely used scale, but each university publishes its own, and the marks ranges and the letters differ. If your university’s grade points differ from the table, use the “SGPA by grade points” tab and type the points from your own grade sheet. This works for any university, including SRM, Anna University and VTU.
How to calculate CGPA
The cumulative grade point average (CGPA) weights each semester’s SGPA by its credits: CGPA = Σ(SGPA × credits) ÷ Σ(credits). The default example has four semesters, SGPAs of 8.2, 8.5, 8.0 and 8.8, and credits of 22, 24, 23 and 25, which gives a CGPA of 8.39. If your university averages SGPAs without weighting, give every semester the same credits.
CGPA to percentage
There is no single national formula. Boards and universities set their own, and online sources often disagree, so use the formula printed on your marksheet or in your regulations. Three common ones are:
| CGPA | × 9.5 (CBSE Class 10) | × 10 | (CGPA − 0.75) × 10 (VTU, older schemes) |
|---|---|---|---|
| 6 | 57.00% | 60.0% | 52.50% |
| 6.5 | 61.75% | 65.0% | 57.50% |
| 7 | 66.50% | 70.0% | 62.50% |
| 7.5 | 71.25% | 75.0% | 67.50% |
| 8 | 76.00% | 80.0% | 72.50% |
| 8.5 | 80.75% | 85.0% | 77.50% |
| 9 | 85.50% | 90.0% | 82.50% |
| 9.5 | 90.25% | 95.0% | 87.50% |
| 10 | 95.00% | 100.0% | 92.50% |
For any other rule, choose the custom formula and enter a multiplier and an offset. For a 4.0-scale GPA, use the GPA calculator instead.
Frequently asked questions
How do I calculate SGPA?
Multiply each course's credits by its grade point, add the results and divide by the total credits.
How do I calculate CGPA from SGPA?
Multiply each semester's SGPA by that semester's credits, add them up and divide by the total credits. If all semesters have equal credits, it is the simple average.
How do I convert CGPA to percentage?
It depends on your board or university. CBSE Class 10 uses CGPA × 9.5, some universities use CGPA × 10, and VTU's older schemes use (CGPA − 0.75) × 10. Check your official regulations.
Can I use this for SRM, Anna University or VTU?
Yes for the SGPA and CGPA arithmetic. Enter your credits and the grade points from your own grade sheet, because scales and conversion formulas differ between universities.
Do failed courses count?
Usually the credits of a failed course are included with a grade point of 0 until you clear it, but rules differ, so follow your university's regulations.
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