SGPA Calculator
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| Subject | Marks | Max | Credits | Remove |
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Grade points by marks percentage (UGC 10-point scale)
Grade-point boundaries follow the UGC 2017 notification. VTU, KTU, SPPU, and Anna University use the same 10-point scale but may apply slightly different cutoffs for specific programmes. Verify with your exam cell before submitting any official figure.
What Is SGPA? SGPA Full Form and Meaning
SGPA stands for Semester Grade Point Average. It is the credit-weighted average of grade points earned across all subjects in a single semester on the 10-point scale that most Indian universities follow under UGC, VTU, SPPU, Anna University, MAKAUT, and KTU. Each subject's grade point (on a scale of 0 to 10) is multiplied by its credit hours, the products are summed across all subjects, and the total is divided by the semester's credit count. SGPA appears on your semester marksheet or result card for that term only.
SGPA vs CGPA: How They Differ on Your Transcript
SGPA covers one semester; CGPA (Cumulative Grade Point Average) covers every semester you have completed so far. If you score an SGPA of 9.1 in your fifth semester after four weaker terms, your CGPA may still sit below 7.5 because earlier semesters carry their credit-weighted share in the running total. Universities print SGPA on per-semester result sheets and use CGPA for scholarship eligibility, graduation honours, and graduate-programme admission. The CGPA calculator on this site accepts individual course grades rather than semester-level SGPAs, which is the alternative workflow for multi-scale transcripts. To convert a cumulative CGPA to a percentage using institutional formulas such as CBSE, UGC, Anna University, or Mumbai University, see the CGPA to percentage calculator.
How to Convert SGPA to Percentage: Seven University Formulas
No single SGPA to percentage formula applies across every Indian university. Each regulatory body publishes its own conversion rule, and using the wrong one can produce a percentage that is 7 to 9 points off the official figure. The chart below compares all four formula families across the full SGPA range of 4 to 10. Select your university in Mode 1 above and the calculator applies the correct rule automatically.
UGC and AICTE General Formula
The UGC notification of 2017 established Percentage = (SGPA - 0.75) x 10 as the standard conversion for Indian universities that award degrees under UGC regulations. An SGPA of 8.0 gives 72.5%. KTU uses the same formula written as Percentage = (SGPA x 10) - 7.5, which is algebraically identical. Most central universities and NITs follow this approach.
VTU SGPA to Percentage Formula
Visvesvaraya Technological University (VTU, Karnataka) uses the same (SGPA - 0.75) x 10 rule as the UGC notification. An SGPA of 7.5 at VTU equals 67.5%. Some older VTU circulars omitted the subtraction; the current official position matches the UGC formula. Always verify against your official VTU transcript when submitting credentials to employers or graduate programmes abroad, since the formula was not always consistently applied before 2017.
SPPU and Mumbai University Formula
Savitribai Phule Pune University (SPPU) and the University of Mumbai use Percentage = SGPA x 8.8. An SGPA of 8.0 gives 70.4% under this formula. The multiplier 8.8 is lower than the UGC baseline, so a Pune student with SGPA 8.0 has a lower official percentage than a UGC-affiliated student with the same SGPA. This is important when comparing transcripts across states for placements or postgraduate applications.
Anna University and MAKAUT Formula
Anna University (Tamil Nadu) and MAKAUT/WBUT (West Bengal) both use the simplest conversion: Percentage = SGPA x 10. An SGPA of 8.0 maps to exactly 80.0%. This formula produces the highest percentage for any given SGPA among the four families, which is worth noting when comparing transcripts from different states for the same numerical SGPA.
CBSE 10-Point Scale Formula
CBSE uses Percentage = SGPA x 9.5 for Class X and Class XII results reported on the 10-point grading scale. An SGPA (or CGPA in CBSE terminology) of 8.0 converts to 76.0%. The CBSE formula sits between the Anna University and UGC approaches in the percentage it yields.
How to Convert SGPA to CGPA: Credit-Weighted Cumulative GPA
To convert SGPA to CGPA, take a credit-weighted average of all your semester SGPAs. The formula is identical in structure to the per-subject SGPA formula, applied one level up across semesters rather than across subjects.
- SGPA = semester grade point average for each completed term
- Semester Credits = total credit hours registered in that semester
- Σ = sum across every semester on the transcript
A simple arithmetic mean of SGPA values is accurate only when every semester carries the same credit count. When semester credits vary (common in final-year project or elective semesters), the credit-weighted formula is required. Mode 2 of the calculator above handles up to eight semesters with unequal credit loads.
How to Calculate SGPA from Marks
To calculate SGPA from marks, convert each subject's raw score to a percentage, look up the UGC grade point for that range, then apply the SGPA formula. Mode 3 of the calculator above handles this automatically when you enter marks, maximum marks, and credits per subject.
Worked Example: Five-Subject Semester
A VTU engineering student in semester 3 takes five subjects. Mathematics (4 credits): 78 out of 100 = 78%, maps to A (8 points). Physics (3 credits): 65 out of 100 = 65%, maps to B+ (7 points). Chemistry (3 credits): 52 out of 100 = 52%, maps to B (6 points). Programming (4 credits): 88 out of 100 = 88%, maps to A+ (9 points). English (2 credits): 45 out of 100 = 45%, maps to C (5 points). Quality points: (8x4) + (7x3) + (6x3) + (9x4) + (5x2) = 32 + 21 + 18 + 36 + 10 = 117. Total credits: 16. SGPA = 117 / 16 = 7.31. VTU percentage: (7.31 - 0.75) x 10 = 65.6%.
For India-wide GPA, scale conversion to the US 4.0 system, or CBSE mark-to-CGPA reference, see the India GPA calculator.
This calculator estimates SGPA, CGPA, and percentage equivalents using published university formulas: UGC 2017 notification ((SGPA - 0.75) x 10), SPPU/Mumbai (SGPA x 8.8), Anna University/MAKAUT (SGPA x 10), CBSE (SGPA x 9.5), and KTU (algebraically identical to UGC). Grade-point cutoffs follow the UGC 10-point scale (O, A+, A, B+, B, C, P, F). Individual universities may publish amended formula circulars or programme-specific cutoffs; always verify your official percentage with your registrar or exam cell before submitting transcripts or applications.