SGPA to CGPA Calculator
Enter your SGPA and total credits for each semester. Your cumulative CGPA is calculated using the credit-weighted average formula used by Indian universities.
Last updated July 2026
| Semester | SGPA (0–10) | Credits | Remove |
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How to Calculate CGPA from SGPA
CGPA (Cumulative Grade Point Average) is the credit-weighted average of all your semester SGPA (Semester Grade Point Average) values. Each semester's SGPA is weighted by the number of credits earned in that semester, so semesters with more subjects (and therefore more credits) have a proportionally larger influence on your overall CGPA.
The Formula
CGPA = Σ(SGPA × Credits) ÷ Σ(Credits)
Worked Example
A student with four semesters:
Semester 1: SGPA 8.2, Credits 22
Semester 2: SGPA 7.8, Credits 22
Semester 3: SGPA 8.5, Credits 24
Semester 4: SGPA 8.0, Credits 24
Numerator: (8.2×22) + (7.8×22) + (8.5×24) + (8.0×24)
= 180.4 + 171.6 + 204 + 192 = 748.
Denominator: 22 + 22 + 24 + 24 = 92.
CGPA: 748 ÷ 92 = 8.13.
A Second Example: When Credits Differ
The credit weighting only really bites when your semesters are not the same size. Picture a student who had a heavy fifth semester full of lab courses and a much lighter sixth semester:
Semester 5: SGPA 6.9, Credits 27
Semester 6: SGPA 9.1, Credits 18
A naive average of 6.9 and 9.1 would suggest a CGPA of 8.0. But the weaker semester carried more credits, so it drags the true figure down:
Numerator: (6.9×27) + (9.1×18) = 186.3 + 163.8 = 350.1.
Denominator: 27 + 18 = 45.
CGPA: 350.1 ÷ 45 = 7.78.
The weighted CGPA of 7.78 sits well below the 8.0 a simple average would have produced — a 0.22 gap that comes entirely from the heavier semester being the lower-scoring one. That is why you should never average SGPAs directly unless every semester happens to carry identical credits.
Converting CGPA to Percentage
Once you have your CGPA, use the CGPA to Percentage Calculator to convert it to a percentage using the standard formula (% = CGPA × 9.5 for Anna University and most Indian institutions).
SGPA to CGPA Reference (Equal Credits)
When all semesters carry equal credits, CGPA equals the simple average of all SGPAs. The table below shows example CGPA values for common SGPA combinations across four equal-credit semesters.
| All-semester SGPA | CGPA (equal credits) | Approx. % (× 9.5) |
|---|---|---|
| 10.0 | 10.00 | 95.0% |
| 9.0 | 9.00 | 85.5% |
| 8.5 | 8.50 | 80.75% |
| 8.0 | 8.00 | 76.0% |
| 7.5 | 7.50 | 71.25% |
| 7.0 | 7.00 | 66.5% |
| 6.5 | 6.50 | 61.75% |
| 6.0 | 6.00 | 57.0% |
Percentage is approximate using the Anna University formula (CGPA × 9.5). Use the CGPA to Percentage Calculator for a custom factor.
Tips and Common Mistakes
- Enter total credits, not the number of subjects. A semester with five subjects might be worth 22 credits, not 5. The weighting only works if you use the credit total your marksheet lists for that term.
- Include every completed semester. CGPA is cumulative, so leaving out an early weak — or strong — semester will skew the result. Add a row for each term you have actually finished.
- Leave out semesters still in progress. A term you are currently studying has no final SGPA yet. Add it only once results are published; entering a guess turns your CGPA into an estimate.
- Handle backlog and repeat subjects carefully. Many universities recompute a semester's SGPA after you clear a backlog. Use the latest revised SGPA for that semester rather than the original failing figure.
- Equal credits? A plain average is fine. When every semester carries the same credit total, the credit-weighted CGPA and the simple average of your SGPAs come out identical — though entering the real credits never does any harm.
Frequently Asked Questions
What is the difference between SGPA and CGPA?
SGPA (Semester Grade Point Average) is your grade point average for a single semester. CGPA (Cumulative Grade Point Average) is the credit-weighted average of all your SGPAs across every semester you have completed. CGPA gives a full-degree picture of your academic performance, while SGPA reflects a single term.
How is CGPA calculated from SGPA?
CGPA = (SGPA₁ × Credits₁ + SGPA₂ × Credits₂ + … + SGPAₙ × Creditsₙ) ÷ (Credits₁ + Credits₂ + … + Creditsₙ). Each semester's SGPA is weighted by the total credits earned in that semester. Semesters with more credits have a proportionally larger influence on your CGPA.
Why do I need to enter credits for each semester?
Different semesters often carry different total credits (e.g. a semester with lab courses may have 24 credits while a lighter semester has 18). A simple average of SGPAs would be inaccurate unless all semesters have identical credits. Weighting by credits gives the correct overall CGPA.
What if all my semesters have the same number of credits?
If every semester has identical credits, the credit-weighted CGPA equals the simple average of your SGPAs. You can still enter the credits for accuracy, or simply enter any equal number (e.g. 20 for each) — the result will be the same.
My CGPA on my marksheet is slightly different from the calculator — why?
Your institution may apply rounding at the subject level before computing SGPA, or may use a slightly different weighting formula for repeated or backlog subjects. The calculator uses the standard weighted-average formula. For official records always refer to your university's transcript.