SGPA to CGPA Calculator
Calculate your Cumulative GPA from semester grades — supports 4.0, 5.0, and 10.0 scales.
This method assumes all semesters carry equal credit weight.
Required SGPA for Next Semester
Find a Missing Semester SGPA
This calculation assumes equal credits per semester.
Convert CGPA to 4-Point GPA
Backlog & Failed Course Handling
Failed subjects receive a grade point of 0 in the semester they are failed, which reduces that semester's SGPA. Once the backlog is cleared, the new passing grade replaces the failed attempt in future CGPA calculations. The SGPA of the semester in which the backlog is cleared will reflect the improved score. However, the original failed attempt may still appear on the official transcript. Always use the weighted average method when backlog subjects are involved, as the credit hours of retaken subjects must be counted carefully.
| # | Scale | Method | CGPA | % | Time |
|---|
Your Complete CGPA Toolkit
Everything you need to calculate, convert, and plan your academic performance — from semester SGPAs to cumulative results and percentage equivalents.
- Calculate CGPA from individual semester SGPAs
- Use the weighted average for precise results
- Find the SGPA you need to reach your target
- Convert your CGPA to percentage or 4-point GPA
From SGPAs to CGPA in Seconds
Enter your semester grades, choose your grading scale, and get instant results with full breakdowns and conversions. The calculator handles both equal and unequal credit distributions automatically.
Weighted Accuracy
Uses credit-weighted formula for precise results.
Multiple Methods
Choose individual entry or total sum shortcut.
Scale Support
Works for 4.0, 5.0, and 10.0 grading scales.
Instant Conversion
See CGPA and percentage results together.
| Metric | Formula | Notes |
|---|---|---|
| SGPA | Σ(Grade Points × Credits) ÷ Total Credits | Single semester |
| CGPA | Σ(SGPA × Credits) ÷ Total Credits | All semesters |
| Percentage (CBSE) | CGPA × 9.5 | Standard CBSE formula |
| Percentage (Alt) | (CGPA × 10) − 7.5 | Used by many universities |
| 4-Point GPA | (CGPA ÷ 10) × 4 | Approximate conversion |
This calculator is an educational tool. For official records, always refer to your institution's marksheet.
SGPA to CGPA conversion uses a credit-weighted average of all completed semester grade point averages. Enter your SGPA for each semester and the total credit hours per semester. The calculator applies the standard formula and outputs your CGPA instantly. If your semesters carry unequal credit loads, the weighted formula produces a different result than simple averaging. That difference can shift your CGPA by 0.1 to 0.5 grade points.
SGPA to CGPA Formula — Credit-Weighted vs. Simple Average
SGPA converts to CGPA using the credit-weighted formula: CGPA = Σ(SGPA × Semester Credits) ÷ Σ(Total Credits). This formula ensures semesters with heavier credit loads carry greater weight in the final cumulative score. This is exactly how universities compute the number that appears on your degree certificate.
Two formulas exist for SGPA to CGPA conversion, and each applies under different conditions.
Formula 1 — Credit-Weighted Average:
CGPA = Σ (SGPA × Semester Credits) ÷ Σ (Total Credits)
Use this when semesters carry different credit loads. Engineering programmes, postgraduate courses, and final-year project semesters commonly assign 25-30 credits to some terms and 15-18 to others. A semester with 30 credits pulls CGPA harder than a semester with 15. That’s the entire point of credit weighting.
Formula 2 — Simple Average:
CGPA = Sum of All SGPAs ÷ Total Number of Semesters
Use this only when every semester in your programme carries an identical credit load. Most standard Indian undergraduate programmes run equal credits per semester, so both formulas produce the same result. When credit loads differ, Formula 1 is the correct method. The calculator above applies Formula 1 automatically. Enter your credits alongside each SGPA for an accurate result.
How to Calculate CGPA from SGPA — 6 Steps
CGPA from SGPA follows six steps: list semester SGPAs, note credit hours, multiply each SGPA by its credits, sum the weighted points, sum the total credits, then divide. This is the standard credit-weighted calculation Indian universities use to compute the CGPA on your academic transcript.
Here’s the step-by-step process:
- List the SGPA for every completed semester from your mark sheet
- Note the total credit hours assigned to each semester
- Multiply each semester’s SGPA by its total credits to get the weighted grade points
- Add all weighted grade points from Step 3 together
- Add all credit hours from all semesters together
- Divide the total weighted grade points (Step 4) by the total credits (Step 5)
Example — Four Semesters with Varying Credits
| Semester | SGPA | Credits | Weighted Points |
|---|---|---|---|
| Semester 1 | 8.2 | 20 | 164.0 |
| Semester 2 | 7.9 | 22 | 173.8 |
| Semester 3 | 8.5 | 20 | 170.0 |
| Semester 4 | 8.0 | 18 | 144.0 |
| Total | 80 | 651.8 |
CGPA = 651.8 ÷ 80 = 8.15
A direct average of the four SGPAs gives (8.2 + 7.9 + 8.5 + 8.0) ÷ 4 = 8.15. The result matches here because credit differences are small. In programmes where one semester carries 30 credits against another’s 15, the gap between both methods widens significantly. Credit hours always need to be part of the calculation.
What if You’ve Completed Only One Semester?
After one semester, your CGPA equals your SGPA exactly. The cumulative average of a single value is that value itself. A student finishing Semester 1 with a 8.4 SGPA holds a 8.4 CGPA until Semester 2 results update the running total.
SGPA vs CGPA — What Each Number Measures
SGPA measures academic performance in one semester. CGPA measures overall academic performance across every completed semester combined. Both numbers appear on mark sheets. SGPA shows each individual term. CGPA is the running total that updates after every semester end.
Think of SGPA as a chapter score and CGPA as the book score. A single strong chapter improves the book’s average. One weak chapter in an eight-chapter book shifts the average less than it feels like it should.
| Attribute | SGPA | CGPA |
|---|---|---|
| Full form | Semester Grade Point Average | Cumulative Grade Point Average |
| Covers | One semester only | All completed semesters |
| Resets | Every semester | Never. Runs cumulatively |
| Appears on | Semester mark sheet | Degree certificate, transcript |
| Used for | Promotion eligibility, internal tracking | Placements, admissions, scholarships |
| Formula | Grade points × credits ÷ credits (one term) | Σ(SGPA × Credits) ÷ Σ(Credits) |
Most Indian universities set a minimum SGPA of 5.0 or 6.0 for semester promotion. Employers and postgraduate programmes use CGPA as the evaluation metric because it represents the full academic record rather than a single term’s performance.
Can a Bad Semester Pull Your CGPA Down Permanently?
A weak SGPA lowers CGPA. The credit-weighted formula means later semesters can recover lost ground. A student scoring 5.8 SGPA in Semester 1 (20 credits) and 8.5 SGPA in each of the next five semesters (20 credits each) finishes with a CGPA of 7.98. The weak first semester lowers the ceiling, but six semesters of 8.5 pull the average far above where Semester 1 would suggest it would land. To model your own scenario, use the SGPA to CGPA calculator at the top of this page. Enter each semester’s SGPA and credits to see the exact cumulative result.
University-Specific SGPA to CGPA Calculators
Different Indian universities apply the same credit-weighted formula but define grade point scales and percentage conversion methods differently. VTU supports 2021, 2022, and 2025 schemes. AKTU maps letter grades to specific points. O equals 10, A+ equals 9. JNTUH and JNTUK calculate CGPA directly from grade points without rounding at the SGPA stage.
| University | Grading Scale | Key Notes |
|---|---|---|
| VTU | 10-point | Supports 2021, 2022, 2025 schemes |
| SPPU (Pune) | 10-point | Percentage: (CGPA – 0.75) × 10 |
| JNTUH | 10-point | Grade map: O=10, A+=9, A=8 |
| JNTUK | 10-point | Same scale as JNTUH |
| GTU | 10-point | Percentage: (CGPA – 0.5) × 10 |
| Anna University | 10-point | Percentage: (CGPA – 0.5) × 10 |
| Mumbai University | 10-point | Engineering: (CGPA × 7.1) + 11 |
| CBSE | 10-point | Standard: CGPA × 9.5 |
Each calculator above uses the institution’s officially published conversion method. Select your university to get the exact SGPA to CGPA and CGPA to percentage result your mark sheet would show. Not the CBSE general estimate..
Common Mistakes When Converting SGPA to CGPA
The most common SGPA to CGPA error is averaging SGPAs directly without credit weighting. It produces a CGPA that differs from the university’s official figure by 0.1 to 0.5 grade points depending on how unevenly credit hours are distributed across semesters.
| Mistake | Why It’s Wrong | Correct Approach |
|---|---|---|
| Averaging SGPAs directly | Ignores credit load differences between semesters | Use Σ(SGPA × Credits) ÷ Σ(Credits) |
| Rounding SGPA before calculating | Early rounding compounds errors across multiple semesters | Keep full decimal values until the final CGPA |
| Ignoring failed or backlog subjects | Failed subjects count as zero grade points and lower SGPA | Enter the SGPA your university officially records |
| Mixing 4-point and 10-point scales | Different scales produce incompatible numbers | Confirm your institution’s scale before entering values |
| Using one semester SGPA as CGPA | Single-semester SGPA equals CGPA only in Semester 1 | After Semester 2, always apply the cumulative formula |
This calculator uses the standard credit-weighted method. It’s the same formula universities apply when computing the CGPA on your official academic transcript.
SGPA to CGPA to Percentage — The Full Conversion Chain
SGPA converts to CGPA using the credit-weighted formula, and CGPA then converts to percentage using the university’s specific multiplying factor. It’s 9.5 for CBSE, ×10 for VTU and JNTUH, and (CGPA – 0.75) × 10 for SPPU Pune.
The three-step conversion chain works like this:
- Calculate CGPA from all semester SGPAs: CGPA = Σ(SGPA × Credits) ÷ Σ(Credits)
- Apply your university’s percentage conversion formula to the CGPA result
- Verify against your institution’s official conversion certificate for formal submissions
A student with SGPAs of 8.0, 7.5, 8.5, and 9.0 across four equal-credit semesters holds a CGPA of 8.25. Under the CBSE formula: 8.25 × 9.5 = 78.38%.
One common confusion: 7.5 CGPA equals 71.25% under CBSE (7.5 × 9.5). Not 75%. Universities that use the ×10 multiplier, like VTU and JNTUH, produce 75% from the same 7.5 CGPA. The formula attached to your institution determines the result, not the CGPA value itself. To complete Step 2 instantly, use the CGPA to percentage calculator on this site. It covers all eight university formulas in one place.
Frequently Asked Questions — SGPA to CGPA
How do I convert SGPA to CGPA?
Multiply each semester’s SGPA by its total credit hours, add all the results together, then divide by the sum of all credit hours across every semester. This credit-weighted average is the standard SGPA to CGPA conversion formula used by Indian universities. If every semester carries equal credits, divide the sum of all SGPAs by the number of semesters. Both methods produce the same result under equal credit loads.
Is 7.5 CGPA a 75 percentage?
No. 7.5 CGPA equals 71.25% under the standard CBSE formula (7.5 × 9.5), not 75%. The 75% figure comes from universities that use the ×10 multiplier, like VTU and JNTUH. Under those systems, 7.5 CGPA equals exactly 75%. Always check your institution’s published conversion formula before submitting a percentage to employers or postgraduate admissions.
What is 90% in SGPA?
90% equals an SGPA of 9.47 on the CBSE 10-point scale, calculated as 90 ÷ 9.5. Under the ×10 formula used by VTU and JNTUH, 90% converts to an SGPA of exactly 9.0. For the reverse calculation across all scales and all university formulas, use the percentage to CGPA calculator on this site.
How much is 7.6 CGPA in GPA (4.0 scale)?
7.6 CGPA on the 10-point scale converts to approximately 3.04 on the 4.0 GPA scale, calculated as (7.6 ÷ 10) × 4. This rough conversion works for application shortlisting. US and Canadian universities request official transcripts evaluated by accredited agencies for formal equivalency. This figure serves as a reference estimate only.
Can CGPA be calculated from one semester’s SGPA?
Yes. After one semester, CGPA equals SGPA exactly. The cumulative formula applies from Semester 2 onward as a second SGPA value enters the calculation. A student in Semester 1 with a 7.8 SGPA holds a 7.8 CGPA until their second semester results are published.
Do failed courses affect CGPA?
Failed subjects count as zero grade points and reduce that semester’s SGPA, which lowers CGPA. Some universities replace the failed grade when the course is retaken; others average both attempts. The SGPA your university officially records for that semester, including failed subjects, is the value to enter in the calculator. Not a recalculated estimate.
More Grade Conversion Tools — Track Your Full Academic Record
SGPA to CGPA is one conversion in a longer academic tracking chain. Students applying for placements, postgraduate programmes, or scholarships need the complete grade conversion toolkit across semesters and formats.
To convert your semester performance directly to percentage, the SGPA to percentage calculator skips the CGPA step entirely. For reverse conversion when applications ask for CGPA from a percentage score, the percentage to CGPA calculator handles all three grading scales. Track subject-level performance using the marks percentage calculator, or calculate CGPA directly from subject scores with the CGPA calculator.