SGPA to CGPA Calculator
Convert individual semester GPAs (SGPA) into your cumulative overall grade (CGPA) and equivalent percentage across 2 to 8 semesters. Includes course credit weighting and honors classification for B.Tech, B.E., B.Sc, and postgraduate students.
Semester Grades & Credits
Cumulative Grade Point Average (CGPA)
Performance Scale (Out of 10.00)
Direct Definition (Position Zero AEO Summary)
CGPA (Cumulative Grade Point Average) under the Indian UGC/AICTE Choice Based Credit System represents a student's overall academic performance across all completed semesters. It is calculated as the sum of credit points earned in each semester (SGPA × Credits) divided by the total cumulative credits registered.
Statutory UGC / AICTE Calculation Formulas
Under the Choice Based Credit System (CBCS) implemented across Indian Central, State, and Autonomous technical universities:
// 1. Weighted CGPA Formula (CBCS Standard):
CGPA = [ (SGPA₁ × C₁) + (SGPA₂ × C₂) + ... + (SGPAₙ × Cₙ) ] / [ C₁ + C₂ + ... + Cₙ ]
Where SGPAᵢ = Grade Point Average of semester i, and Cᵢ = Credits assigned to semester i.
// 2. Equal Weighting (Unweighted Average):
CGPA = (SGPA₁ + SGPA₂ + ... + SGPAₙ) / Total Number of Semesters
// 3. AICTE Equivalent Percentage Conversion:
Percentage (%) = (CGPA − 0.75) × 10
// Anna University / Multiplier 10 Variant: Percentage (%) = CGPA × 10
Realistic Worked Example: 4-Year B.Tech Degree (8 Semesters)
B.Tech Computer Science Student (VTU / AICTE Affiliated)Distinction Candidate
Consider a student who completes 8 semesters with 22 credits per semester (total 176 credits):
• Sum of SGPA: 7.80 + 8.10 + 8.30 + 8.50 + 8.20 + 8.60 + 8.90 + 9.20 = 67.60
• Cumulative CGPA: 67.60 / 8 = 8.45 CGPA
• AICTE Equivalent Percentage: (8.45 − 0.75) × 10 = 77.00%
• Awarded Division: First Class with Distinction (FCD)
UGC / AICTE Honors & Degree Classification Slabs
| CGPA Range | AICTE Percentage Equivalent | Degree Classification | Remarks & Placement Eligibility |
|---|---|---|---|
| 7.75 to 10.00 | 70.0% to 92.5% | First Class with Distinction (FCD) | Eligible for Tier-1 placements, MS, & PSUs |
| 6.75 to 7.74 | 60.0% to 69.9% | First Class (FC) | Meets standard corporate 60% eligibility cutoff |
| 5.75 to 6.74 | 50.0% to 59.9% | Second Class (SC) | Eligible for government exams & select roles |
| 4.00 to 5.74 | 32.5% to 49.9% | Pass Class | Degree awarded; improvement advised |
University-Specific Official Conversion Calculators
Looking for official university circular ordinances and specific grading scale formulas? Use our university engines:
Official VTU formula: (CGPA − 0.75) × 10 for 2015, 2018, 2021 & 2022 schemes.
Official Regulation 2017 & 2021 formula: CGPA × 10 with distinction checks.
Circular UG/01 CBCS 10-point scale: 7.25 × CGPA + 11 or 7.1 × CGPA + 12.
Frequently Asked Questions (SGPA to CGPA Conversion)
What is the formula to convert SGPA to CGPA in engineering and university courses?
Under the UGC/AICTE Choice Based Credit System (CBCS), Cumulative Grade Point Average (CGPA) is calculated by multiplying each semester’s SGPA by its registered credits, summing these credit points, and dividing by the total credits across all completed semesters: CGPA = Σ(SGPA × Credits) / Σ(Credits). If each semester carries equal credits, CGPA is simply the arithmetic average of all semester SGPAs.
How do I convert CGPA to percentage using AICTE norms?
The All India Council for Technical Education (AICTE) standard conversion formula approved across most engineering colleges in India is: Equivalent Percentage (%) = (CGPA − 0.75) × 10. For instance, an 8.00 CGPA translates to (8.00 − 0.75) × 10 = 72.50%.
What is the difference between SGPA and CGPA?
SGPA (Semester Grade Point Average) evaluates student performance in a single semester or term based on the grades and credits of the subjects completed in that semester. CGPA (Cumulative Grade Point Average) is the overall cumulative weighted performance across all completed semesters from the start of the degree program.
What CGPA is required for First Class with Distinction (Honors)?
Under standard Indian university guidelines (UGC/AICTE), a CGPA of 7.75 and above (approx. 70% and above) qualifies for First Class with Distinction (FCD), provided all subjects are cleared in the first attempt without backlogs. A CGPA between 6.75 and 7.74 qualifies for First Class (FC).
Do all universities use the same percentage conversion formula?
No. While AICTE and VTU use (CGPA − 0.75) × 10, Anna University uses CGPA × 10, Mumbai University uses a two-tier formula (7.25 × CGPA + 11 or 7.1 × CGPA + 12), and CBSE uses CGPA × 9.5. Always verify with your university’s official transcript ordinance.