Grade & GPA
SGPA to CGPA Calculator
Combine your semester SGPAs into a cumulative CGPA — weighted by credits, which is how most universities do it.
SGPA to CGPA Calculator
Conversion rules differ between institutions. Check the formula shown against your own university's published rule before using the result on an application or transcript.
About the SGPA to CGPA Calculator
SGPA covers one semester. CGPA covers your whole programme. This calculator combines the first into the second — enter each semester's SGPA, add its credits, and you get the cumulative figure.
It offers both methods, because universities use both. The weighted method divides total grade points by total credits, which is what most institutions do and what the tool recommends. The simple average method just averages your SGPAs, which is only correct when every semester carries identical credits.
You get the CGPA either way, plus the percentage equivalent, the classification band, and your best and weakest semesters. Leave the credit fields blank and the tool falls back to the simple average, telling you clearly that is what it did.
How to use the SGPA to CGPA Calculator
- Choose the method — credit-weighted is what most universities use.
- Enter each semester SGPA, and its credits if you have them.
- Use + Add semester for more rows.
- Select Calculate CGPA.
- Both methods are shown so you can see how much the weighting matters.
SGPA and CGPA: what separates them
| SGPA | CGPA | |
|---|---|---|
| Stands for | Semester Grade Point Average | Cumulative Grade Point Average |
| Covers | One semester | Every completed semester |
| Recalculated | Each semester | After every semester |
| Moves | Freely, term to term | Slowly, and more slowly over time |
| Asked for by | Internal progress reviews | Employers, universities, visa applications |
The practical difference is momentum. A weak semester shows up sharply in that semester's SGPA but only nudges the CGPA. By your sixth semester, a single poor term moves the cumulative figure by a fraction of what it would have moved in your first.
The formula
Weighted : CGPA = Σ(SGPA × credits) ÷ Σ(credits)
Simple average: CGPA = Σ(SGPA) ÷ number of semesters
Use weighted whenever semesters carry different credit loads — which they usually do.
Worked example
Four semesters: 7.8 over 22 credits, 8.4 over 24 credits, 9.1 over 20 credits and 8.0 over 26 credits.
Weighted: (7.8×22) + (8.4×24) + (9.1×20) + (8.0×26) = 171.6 + 201.6 + 182 + 208 = 763.2 across 92 credits.
Weighted: 763.2 ÷ 92 = 8.30 CGPA · Simple average: 8.33
Only 0.03 apart here, because the credit loads are similar. Make one semester a 12-credit term and the gap widens noticeably.
When the two methods diverge
The gap grows when your credit loads are uneven and your performance varies with them. A light semester where you did unusually well gets over-counted by the simple average:
| Semester | SGPA | Credits |
|---|---|---|
| 1 | 6.5 | 28 |
| 2 | 7.0 | 26 |
| 3 | 9.5 | 10 |
Simple average: 7.67. Weighted: 7.16. Half a grade point apart. That light third semester counts for a third of the simple average but only 16% of the weighted one — and the weighted figure is the honest description of the transcript.
Use the method your university publishes, not the one that gives the better number. Your degree certificate carries the official CGPA, and it will not match a figure you calculated a different way.
Semesters that need care
- Failed subjects. Most universities include a failed subject at zero grade points until you clear it, which drags the SGPA down. Once cleared, the revised grade usually replaces it.
- Backlogs. A cleared backlog is normally credited to the semester it belonged to, not the one you passed it in. Check how your grade sheet reports it.
- Audited or non-credit courses. These carry no credits and belong outside the calculation entirely.
- Ongoing semesters. Leave them out. An incomplete semester has no valid SGPA yet.
What to do with the result
Once you have your CGPA, the CGPA to percentage calculator converts it for applications that want a percentage. For a single semester rather than the cumulative figure, use the SGPA to percentage calculator.
How to calculate SGPA
Before you can combine semesters, you need each semester's SGPA. It is a credit-weighted average of your grade points.
SGPA = Σ(course credits × grade points) ÷ Σ(course credits)
Worked example
Four courses on a 10-point scale: 4 credits at 9, 3 credits at 8, 3 credits at 10, 2 credits at 7.
(4×9) + (3×8) + (3×10) + (2×7) = 36 + 24 + 30 + 14 = 104. Total credits: 12.
SGPA = 104 ÷ 12 = 8.67
Repeat for each semester, then enter the SGPAs and credits above to get your CGPA. To turn the result into a percentage, use the CGPA to percentage calculator.
Other ways to use this calculator
- Semester GPA to cumulative GPA calculator — combine each semester GPA, weighted by credits.
- SGPA formula — sum of (grade points × credits) ÷ total credits for the semester.
Frequently asked questions
SGPA is your average for one semester. CGPA is the average across every semester you have completed. SGPA is recalculated fresh each term and moves freely; CGPA accumulates and becomes harder to shift as credits build up. Employers and universities almost always ask for CGPA, since it describes your whole programme rather than a single term.
Multiply each semester's SGPA by its credits, add those products, then divide by the total credits. Four semesters of 7.8×22, 8.4×24, 9.1×20 and 8.0×26 give 763.2 across 92 credits, so the CGPA is 8.30. If every semester carries the same credits, averaging the SGPAs directly gives the same answer — but only then.
Yes, whenever credit loads differ, which is most of the time. Weighting is what most universities apply. A light semester with an unusually high SGPA is over-counted by a simple average: three semesters of 6.5, 7.0 and 9.5 across 28, 26 and 10 credits average to 7.67 unweighted but 7.16 weighted. The weighted figure is the accurate one.
Yes, and you generally must. Most universities include failed subjects at zero grade points until they are cleared, which lowers that semester's SGPA and therefore your CGPA. Once you clear the backlog, the revised grade normally replaces the zero and the CGPA is recalculated. Check how your grade sheet reports cleared backlogs, since practice varies between institutions.
Multiply each course's credits by the grade points you earned, add those products, and divide by the total credits for the semester. 104 credit-points over 12 credits gives an SGPA of 8.67.
Sources and further reading
- University Grants Commission (UGC), India — the credit-based semester grading framework
- Central Board of Secondary Education (CBSE) — grading conventions used for percentage equivalence
- World Education Services — Credential evaluation — how cumulative results are read by evaluators abroad