How to calculate CGPA from SGPA
Your CGPA (Cumulative Grade Point Average) combines the SGPAs of every semester you have completed. Under UGC's Choice Based Credit System, which most Indian universities follow, each semester is weighted by the credits it carried:
Formula
CGPA = Σ (SGPA × Semester credits) ÷ Σ Semester credits
- Write down the SGPA and total credits for each semester from your grade cards.
- Multiply each SGPA by that semester's credits.
- Add up those products, and separately add up all the credits.
- Divide the first total by the second. Round to two decimals.
If you don't know your credits — or every semester carries the same number — use the simple average instead. The calculator above shows it automatically and switches to the credit-weighted result once every semester has a credit value.
Simple average
CGPA = (SGPA₁ + SGPA₂ + … + SGPAₙ) ÷ n
Worked example: six semesters
| Semester | SGPA | Credits | SGPA × credits |
|---|---|---|---|
| Semester 1 | 7.8 | 20 | 156 |
| Semester 2 | 8.2 | 22 | 180.4 |
| Semester 3 | 8.6 | 24 | 206.4 |
| Semester 4 | 7.4 | 26 | 192.4 |
| Semester 5 | 8.9 | 22 | 195.8 |
| Semester 6 | 9.1 | 16 | 145.6 |
| Total | 130 | 1,076.6 |
Result
Credit-weighted CGPA = 1,076.6 ÷ 130 = 8.28
Simple average = sum of SGPAs ÷ 6 = 8.33
Equivalent percentage (× 9.5) = 78.66%
Here the two methods differ by 0.05 because the weak 7.4 semester carried 26 credits while the strong 9.1 semester carried only 16. Always use the method your university prescribes — the credit-weighted figure is what appears on most consolidated transcripts.
Credit-weighted vs simple average: when does it matter?
The two methods give identical answers when every semester has the same credits. They drift apart when credit loads vary and your performance is uneven. The scenarios below use two semesters with SGPAs of 9 and 7:
| Scenario | Credits (9 SGPA / 7 SGPA) | Simple average | Credit-weighted |
|---|---|---|---|
| Equal credits | 22 / 22 | 8 | 8 |
| Weak semester is heavier | 18 / 26 | 8 | 7.82 |
| Strong semester is heavier | 26 / 18 | 8 | 8.18 |
A semester packed with core courses and labs often carries more credits, so a dip there costs you more than a dip in a light semester. That is also why the simple average can overstate or understate your real CGPA.
What SGPA do you need to hit a target CGPA?
Planning for a placement cut-off or a Master's application? Rearrange the formula to find the average SGPA you need in your remaining semesters:
Required SGPA
Needed = (Target × Total credits − Current CGPA × Credits done) ÷ Credits remaining
Example
You have a 7.6 CGPA after 4 semesters and want 8.0 at the end of 6 (equal credits). You need (8.0 × 6 − 7.6 × 4) ÷ 2 = 8.8 SGPA on average in semesters 5 and 6.
If the required SGPA comes out above 10, the target is mathematically out of reach — worth knowing early so you can plan around it with strong test scores, projects or work experience.
Converting your CGPA to a percentage
Once you have your CGPA, convert it with the rule your university uses. The two most common are CGPA × 9.5 (CBSE style) and (CGPA − 0.75) × 10 (used by AKTU and VTU's older schemes, among others):
| CGPA | × 9.5 | (CGPA − 0.75) × 10 | Division (× 9.5) |
|---|---|---|---|
| 9.5 | 90.25% | 87.5% | First Class with Distinction |
| 9 | 85.5% | 82.5% | First Class with Distinction |
| 8.5 | 80.75% | 77.5% | First Class with Distinction |
| 8 | 76% | 72.5% | First Class with Distinction |
| 7.5 | 71.25% | 67.5% | First Class |
| 7 | 66.5% | 62.5% | First Class |
| 6.5 | 61.75% | 57.5% | First Class |
| 6 | 57% | 52.5% | Second Class |
For a full table and other scales use the CGPA to percentage calculator. To convert a single semester instead, use the SGPA to percentage calculator, and for US applications try the CGPA to GPA calculator.
How to use this SGPA to CGPA calculator
- Enter the SGPA of your first semester. Two rows are ready; press + Add semester for more (up to 10).
- Optionally add each semester's total credits. Leave them all blank for a simple average, or fill every row for the credit-weighted CGPA.
- Read your CGPA, the equivalent percentage (× 9.5) and the linear (× 10) figure — they update as you type.
- Remove a row with × if you entered a semester by mistake. Blank SGPA rows are ignored.
It works for any programme that reports SGPA on a 10-point scale — B.Tech, B.E., BCA, B.Com, B.Sc, MBA and so on — whether you have finished two semesters or all eight.
Backlogs, re-appears and improvement exams
If you failed a course and cleared it later, the SGPA for that semester may be revised once the new grade is published. Universities handle this differently: some replace the F with the new grade, some cap the grade you can earn on a re-appear, and some count the credits only in the semester you passed. Improvement exams may also change an SGPA after the fact.
The safest approach is to use the latest SGPA printed for each semester on your most recent grade cards. If your university issues a consolidated transcript, the CGPA on it is the official figure — use this calculator to check it, plan ahead, or estimate your CGPA before the transcript is out.
Difference between SGPA and CGPA
| Factor | SGPA | CGPA |
|---|---|---|
| Full form | Semester Grade Point Average | Cumulative Grade Point Average |
| Period | One semester | All completed semesters |
| Calculated from | Course grade points × course credits | Semester SGPAs × semester credits |
| Shown on | Each semester's grade card | Each grade card (running) and the final transcript |
| Used for | Semester progress, some scholarships | Degree class, placements, higher studies |
Common mistakes when calculating CGPA
- Using the simple average when credits differ. It is a quick estimate, not your official CGPA.
- Entering credits earned instead of credits registered (or vice versa). Universities treat failed and re-appeared courses differently, so check which credit figure your regulations use.
- Mixing up SGPA and CGPA on grade cards. Many grade cards print both; make sure you copy the SGPA for each semester, not the running CGPA.
- Rounding each SGPA before averaging. Use SGPAs to two decimals as printed and round only the final CGPA.
- Adding non-credit courses. Audit and non-credit courses (graded Satisfactory/Unsatisfactory) are not part of SGPA or CGPA.