Free online tool
SGPA to CGPA Converter
Your CGPA is the credit-weighted average of your semester SGPAs — not a plain average. Enter each semester's SGPA with its credits and this tool gives your CGPA, the percentage under your university's formula, your division, and the SGPA you need next semester to hit a target CGPA. GTU students: your SGPA is called SPI and your CGPA is called CPI — the maths is identical.
Quick answer
Quick answer
Three semesters of 8.6 (24 credits), 8.2 (22) and 9.0 (26) give a credit-weighted CGPA of 8.62 — 620.8 ÷ 72 — not a plain average. The same result converts to 86.22% under the ×10 rule, a Distinction, and the tool also shows which placement cut-offs (6.5, 7.0, 7.5) your CGPA clears.
Open the interactive SGPA to CGPA Converter
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Worked example — 3 semesters
Credit-weighted: each SGPA counts in proportion to its credits.
| Semesters | 8.6 (24 cr) · 8.2 (22 cr) · 9.0 (26 cr) |
|---|---|
| Total points | 206.4 + 180.4 + 234 = 620.8 |
| CGPA | 620.8 ÷ 72 = 8.62 |
| Percentage (× 10) | 86.22% — Distinction |
Worked example — points per semester
| Semester | SGPA | Credits | Points (SGPA × credits) |
|---|---|---|---|
| Sem 1 | 8.6 | 24 | 206.4 |
| Sem 2 | 8.2 | 22 | 180.4 |
| Sem 3 | 9.0 | 26 | 234.0 |
| Total | — | 72 | 620.8 |
University percentage formulas
| University / board | Percentage from CGPA |
|---|---|
| CBSE | CGPA × 9.5 |
| VTU (2022 scheme) | CGPA × 10 |
| VTU (2018 & earlier) | (CGPA − 0.75) × 10 |
| Anna University | CGPA × 10 |
| Mumbai (Engineering, pre-2026) | 7.1 × CGPI + 11 (withdrawn 1 Jan 2026) |
| DU / KTU / JNTU / GTU | CGPA × 10 |
| BPUT / UGC-style | (CGPA − 0.5) × 10 |
About this tool
About the SGPA to CGPA Converter
Your CGPA is the credit-weighted average of your semester SGPAs — not a plain average. Enter each semester's SGPA with its credits and this tool gives your CGPA, the percentage under your university's formula, your division, and the SGPA you need next semester to hit a target CGPA. GTU students: your SGPA is called SPI and your CGPA is called CPI — the maths is identical.
Detailed guide
How to get useful results from SGPA to CGPA Converter
How is CGPA calculated from SGPA?
CGPA = the sum of (SGPA × credits) for every semester, divided by the total credits. For example, semesters of 8.6 (24 credits), 8.2 (22 credits) and 9.0 (26 credits) give (8.6 × 24 + 8.2 × 22 + 9.0 × 26) ÷ 72 = 620.8 ÷ 72 = 8.62 CGPA. Credits are the weight — a 26-credit semester pulls your CGPA more than a 20-credit one. VTU's own MBA regulations work the same example: four semesters of 25 credits with SGPAs 6.44, 6.96, 9.20 and 6.86 give 736.50 ÷ 100 = 7.37 CGPA.
Why a simple average is wrong
Adding your SGPAs and dividing by the number of semesters only works when every semester carries the same credits. With different credits it can be off by a few tenths — 0.25 in the example below — and over a full point when credits differ a lot, enough to miss a placement cut-off. Take 8.0 (10 credits) and 9.0 (30 credits): the simple average says 8.50, but the correct credit-weighted CGPA is (80 + 270) ÷ 40 = 8.75. Several popular converter sites still teach the simple average as the universal formula — it is not.
SGPA to percentage — the chain
Once you have your CGPA, the percentage depends on your university's rule: CBSE × 9.5, VTU 2022 scheme × 10, VTU 2018 and earlier (CGPA − 0.75) × 10, Anna × 10, and the standard × 10 used by DU, KTU, JNTU and GTU. Pick your formula in the tool and the percentage and division appear with the CGPA. One warning: Mumbai University withdrew its 7.1 × CGPI + 11 formula from 1 January 2026 (Circular Exam/Result/803/2026) — use it only for marksheets issued before that date and check the current circular for newer ones.
GTU students — SPI to CPI
Gujarat Technological University uses different names for the same thing: SGPA is called SPI (Semester Performance Index) and CGPA is called CPI (Cumulative Performance Index). The calculation is identical — CPI = the credit-weighted average of your SPIs. Enter your SPI values as SGPA and your CPI comes out as CGPA. The percentage rule most GTU students use is CPI × 10, but confirm it on your marksheet.
Target CGPA planner
Set a target CGPA and your next semester's credits, and the tool tells you the SGPA you need next semester. The maths: needed SGPA = (target × (current credits + next credits) − current points) ÷ next credits. If the answer is above 10, that target is out of reach next semester — lower the target or plan over two semesters. If it is below zero, you are already above the target.
Placement cut-offs — 6.5, 7.0 and 7.5 CGPA
Most campus recruiters filter on CGPA before the test: 6.5 is a common minimum, 7.0 opens most mass-recruiter drives, and 7.5 is asked by product companies and higher-studies shortlists. The tool shows which of these three cut-offs your CGPA clears. A 0.2 CGPA gap can be closed in one strong semester — use the planner to see exactly what it takes.
Common mistakes
The mistakes that cost students a wrong CGPA: using a simple average with unequal credits; mixing the 10-point and 4-point scales (US GPA is 4-point — do not feed it into a 10-point formula); entering total marks instead of SGPA; using an old percentage formula after your university changed it; and rounding each semester's SGPA before averaging — keep two decimals and let the tool do the rounding at the end.
Quick guide
How to use this tool
- 01Enter one semester per line as “SGPA, credits” — for example “8.6, 24”.
- 02Choose the credit-weighted method (correct) or the simple average, and pick your university's CGPA-to-percentage formula.
- 03Read your CGPA, percentage, division, placement cut-offs — and the SGPA you need next semester for your target.
Capabilities
Features and supported formats
- Credit-weighted CGPA — the correct formula, not a plain average.
- SGPA → CGPA → percentage in one flow, with university formulas.
- Target CGPA planner and placement cut-off check (6.5 / 7.0 / 7.5).
Supported formats
Inputs: one semester per line as “SGPA, credits”; a line with just an SGPA counts as 1 credit. Output: CGPA, total credits, percentage, division, placement cut-offs, and the SGPA needed next semester for a target CGPA.
Answers
Frequently asked questions
How do I convert SGPA to CGPA?
Multiply each semester's SGPA by its credits, add those up, and divide by the total credits: CGPA = Σ(SGPA × credits) ÷ Σ(credits). For example, 8.6 (24 credits), 8.2 (22) and 9.0 (26) give 620.8 ÷ 72 = 8.62 CGPA.
Is a simple average of SGPAs correct?
Only when every semester carries the same credits. With different credits a simple average can be off by a few tenths — over a full point when credits differ a lot. Always use the credit-weighted method for your real CGPA.
What is the difference between SGPA and CGPA?
SGPA is the grade-point average of one semester; CGPA is the cumulative average across all semesters so far, weighted by credits. CGPA is what companies and universities ask for.
What are SPI and CPI in GTU?
GTU's names for the same thing: SPI (Semester Performance Index) is SGPA and CPI (Cumulative Performance Index) is CGPA. Enter SPI values as SGPA and the tool gives your CPI.
How do I convert CGPA to percentage?
It depends on your university: CBSE × 9.5, VTU 2022 × 10, VTU 2018 and earlier (CGPA − 0.75) × 10, Anna × 10, and the standard × 10 for DU, KTU, JNTU and GTU. Pick your formula in the tool — the percentage appears with the CGPA.
What is the Mumbai University CGPA to percentage formula?
The old formula was 7.1 × CGPI + 11 for engineering, but Mumbai University withdrew it from 1 January 2026 (Circular Exam/Result/803/2026). Use it only for marksheets issued before that date and check the current circular for newer ones.
What CGPA do I need for placements?
Most campus recruiters ask for 6.5 CGPA as a minimum, 7.0 for most mass-recruiter drives, and 7.5 for product companies and higher-studies shortlists. The tool shows which cut-offs your CGPA clears.
How does the target CGPA planner work?
Enter a target CGPA and your next semester's credits. The tool works out the SGPA you need next semester: (target × total credits after next semester − your current points) ÷ next semester credits. Above 10 means the target is out of reach next semester.
Can my CGPA be more than 10?
No — on the 10-point scale CGPA runs from 0 to 10. If your calculation gives more than 10, check your inputs: an SGPA above 10 or a credit total entered as an SGPA are the usual mistakes.
What if my semesters have different credits?
That is exactly why the weighted formula exists: a 26-credit semester counts more than a 20-credit one. Enter the credits for each semester and the tool weights them correctly.
Does the 4-point GPA scale work the same way?
Yes — the weighted-average maths is the same on any scale. Enter your 4-point SGPAs and the CGPA comes out on the 4-point scale. Do not mix 4-point and 10-point values in one calculation.
Where does the percentage formula come from?
From your university's own rules, printed on the marksheet or in its examination circulars. If your marksheet gives a different formula, use the custom option in the CGPA to Percentage Calculator and enter your university's a and b values.