SGPA to CGPA Calculator
Convert your semester SGPAs into an overall CGPA on the 10-point scale. Enter the SGPA and credit points for each completed semester to get your weighted CGPA, total credits, and approximate percentage.
Convert SGPA to CGPA
SGPA to CGPA Formula
Where:
- \(S_k\) — SGPA of semester \(k\) on the 10-point scale
- \(cr_k\) — total credits earned in semester \(k\)
- \(n\) — number of semesters counted
The formula is a credit-weighted average: each semester's SGPA is multiplied by its credits, summed, and divided by the total credits across all semesters. This means semesters with more credits have a proportionally larger influence on the final CGPA.
SGPA to CGPA – Calculation Example
Example: a student has completed four semesters with the following results: Semester 1 — SGPA 8.5 with 24 credits, Semester 2 — SGPA 8.0 with 22 credits, Semester 3 — SGPA 8.8 with 24 credits, Semester 4 — SGPA 8.2 with 20 credits.
\[ \sum (S_k \times cr_k) = 8.5 \times 24 + 8.0 \times 22 + 8.8 \times 24 + 8.2 \times 20 = 204 + 176 + 211.2 + 164 = 755.2 \]
\[ \sum cr_k = 24 + 22 + 24 + 20 = 90 \]
\[ \text{CGPA} = \frac{755.2}{90} \approx 8.40 \]
Result: CGPA ≈ 8.40 on the 10-point scale across 90 credits in 4 semesters, with an approximate percentage of \(8.40 \times 9.5 \approx 79.8\%\).
How to Use the Calculator
- Enter the SGPA for your first semester (a value between 0 and 10 on the 10-point scale).
- Enter the Credits you earned in that semester. Set the credits to 0 to skip a semester entirely.
- Fill in the SGPA and Credits fields for each additional semester. A new semester slot appears automatically once the previous one carries credits — up to eight semesters.
- Read your results: the Overall CGPA (10-point scale), the total credits completed, the number of semesters counted, the approximate percentage equivalent, and a per-semester breakdown showing how each semester contributed.
What Are SGPA and CGPA?
SGPA (Semester Grade Point Average) measures your academic performance in a single semester on the 10-point grading scale used by most Indian universities. It is calculated by multiplying each course's grade point by its credits, summing these products, and dividing by the semester's total credits.
CGPA (Cumulative Grade Point Average) aggregates all your semesters into one number. Because it is a credit-weighted average rather than a simple average of SGPAs, a semester carrying 26 credits influences your CGPA more than one carrying 18 credits. This is why simply adding your SGPAs and dividing by the number of semesters often gives a slightly different — and inaccurate — result.
CGPA matters because it appears on your final transcript, is used for degree classifications and scholarship eligibility, and is often requested by recruiters and foreign universities during admissions. Since it is cumulative, every semester's result permanently affects it, though later semesters can pull it up or down depending on performance.
Interpreting the Result
The calculator's breakdown table shows each semester's SGPA, credits, and grade points (SGPA × credits), plus the totals. On the common UGC 10-point scale, a CGPA of 8.40 falls into the "Excellent (A+)" band. Note the difference between your weighted CGPA and the simple average of your SGPAs — if your strongest semesters carry fewer credits, the simple average will overstate your CGPA, and vice versa.
The percentage equivalent uses the widely applied approximation \(\% \approx \text{CGPA} \times 9.5\). Treat it as a rough guide only: universities define their own conversion rules, and some use different multipliers or official conversion tables.
Assumptions and Limitations
- The calculator assumes all SGPAs are on the 10-point scale. If your institution uses a different scale (e.g., 4-point), convert the values first.
- It assumes every semester's SGPA is equally valid — it does not handle special cases such as backlogs cleared later, grade replacement policies, or excluded semesters. If your university replaces an old grade with a new one, enter the final recognised SGPA and credits.
- The percentage conversion (× 9.5) follows the CBSE convention and is only an approximation. Check your university's official conversion formula for formal applications.
- Up to 8 semesters are supported, which covers standard four-year undergraduate programmes. Diploma or postgraduate programmes with fewer semesters work the same way — just leave the extra slots empty.
- SGPA itself must come from your mark sheet; the calculator cannot derive it from individual course grades, so use the official figure your university reports.
Frequently Asked Questions
How do I convert SGPA to CGPA manually?
Multiply each semester's SGPA by its total credits, add all these products together, then divide by the sum of all semester credits. For example, two semesters with SGPA 8.0 (20 credits) and 9.0 (25 credits) give \( (8.0 \times 20 + 9.0 \times 25) \div 45 = 365 \div 45 \approx 8.11 \). Keep a note of each semester's credit count from your mark sheet, as credits usually vary between semesters.
Can I just average my SGPAs instead?
No, that gives a different and usually wrong result. A simple average treats every semester equally, while CGPA is credit-weighted. If your weaker semester carried 30 credits and your stronger one only 18, the simple average overstates your CGPA. The gap is small when all semesters carry nearly equal credits, but can reach 0.2–0.3 points when credit loads differ a lot.
What is a good CGPA on the 10-point scale?
It depends on your goal. On the common UGC scale, 8.5+ is considered excellent, 7.5–8.5 very good, and 6.5–7.5 good. Many scholarships and top recruiters look for around 7.5–8.0 or higher, while some universities require a minimum CGPA (often 6.0–6.5) to award a degree. For masters admissions abroad, 8.0+ is generally competitive.
How do I convert CGPA to a percentage?
The most common approximation is \( \text{percentage} \approx \text{CGPA} \times 9.5 \), so a CGPA of 8.0 is roughly 76%. However, this multiplier comes from the CBSE convention and is only an estimate. Some universities use CGPA × 10, others publish official conversion tables. Always use your own institution's formula for official documents like transcripts or application forms.
My university uses a 4-point GPA scale. Can I still use this calculator?
Not directly. This calculator assumes all SGPAs are on the 10-point scale. If your institution grades on a 4-point scale, convert each SGPA first (typically by multiplying by 2.5) before entering it, or use a calculator designed for the 4-point system. Mixing scales in one calculation will produce a meaningless result.
How do I handle failed semesters, backlogs, or repeated courses?
Enter the final SGPA and credits your university officially recognises after revaluation or clearing backlogs. Many universities replace the old grade with the new one, so use the updated SGPA for that semester. If your institution averages both attempts or excludes the failed attempt from CGPA, follow its policy — the calculator cannot apply these special rules automatically.
Why does one bad semester barely change my CGPA?
Because CGPA is cumulative, each semester's weight depends on its share of your total credits. After four semesters, one semester is only about 25% of your CGPA — so a drop from 8.5 to 7.0 in one semester might lower your CGPA by only 0.3–0.4 points. This also means early semesters keep influencing your final CGPA, and later strong semesters only partially offset early weak ones.