CGPA Calculator

Free CGPA calculator: semester-wise weighted, simple average, CGPA to percentage, and percentage to CGPA. Supports 10-point, 4.0, and 5.0 scales with custom conversion factors.

Conversion Factor(default: ×9.5)
1
SGPA (0–10)
Credits
2
SGPA (0–10)
Credits
3
SGPA (0–10)
Credits
4
SGPA (0–10)
Credits
8.12/ 10.0
77.11%A+ (Excellent)Good
CGPA = Σ(SGPA × Credits) ÷ Σ(Credits) · 8.12 × 9.5 = 77.11%
96 Credits4 Semesters

Academic Metrics

Detailed performance breakdown

96
Total CreditsSum of all semester credits
779.20
Total Grade PointsSGPA × credits per semester
8.50
Highest SGPA
7.80
Lowest SGPA

Semester Breakdown

SGPA, credits, and running CGPA per semester

SemesterSGPACreditsPointsCGPA
Semester 1
8.50
24
204.0
8.50
Semester 2
8.20
22
180.4
8.36
Semester 3
7.80
26
202.8
8.16
Semester 4
8.00
24
192.0
8.12
Total / CGPA
96
779.2
8.12
CGPA Calculation
Weighted FormulaΣ(SGPA × Credits) ÷ Σ(Credits)
Result779.2 ÷ 96 = 8.12
Percentage8.12 × 9.5 = 77.11%

SGPA Trend

Performance across semesters

8.5
Sem 1
8.2
Sem 2
7.8
Sem 3
8.0
Sem 4
Overall CGPA: 8.12|Range: 0.70

How to Use This CGPA Calculator

Step-by-step guide for all four calculation modes

1

Pick your mode

Choose Semester-wise CGPA for credit-weighted calculation, Simple SGPA Average for equal-weight mean, or the quick CGPA ↔ % converters.
2

Choose grading scale

Select 10-point (common in Indian universities), 4.0 (US/UK), or 5.0. The scale determines the maximum CGPA and default conversion factor.
3

Enter your data

For semester-wise mode: add semesters with SGPA and credits. For simple average: add semesters with SGPA and check the Count box for each row to include. For converters: enter a single CGPA or percentage value.
4

Set conversion factor (optional)

Toggle Custom to enter your institution's multiplier and optional offset. Use factor alone for simple multiplication (×9.5), or add an offset for formulas like VTU (×10, −7.5) or Mumbai (×7.1, +11).
5

Read your results

See your CGPA, percentage equivalent, grade classification, and performance status. Semester modes also show a detailed breakdown with running cumulative CGPA and trend chart.

Important: Conversion factors vary by institution. A factor of 9.5 is commonly referenced for many Indian universities, but your institution may use a different formula. Always verify with your official transcript or exam guidelines.

How to Calculate CGPA — 3 Core Formulas

Weighted, simple average, and percentage conversion methods

1. Weighted CGPA (Semester-wise)

Weighted formula

CGPA = Σ(SGPA × Credits) ÷ Σ(Credits)

Worked example — 4 semesters:

Sem 1: 8.5 × 24 = 204.0
Sem 2: 8.2 × 22 = 180.4
Sem 3: 7.8 × 26 = 202.8
Sem 4: 8.0 × 24 = 192.0
Total Grade Points = 779.2, Total Credits = 96
CGPA = 779.2 ÷ 96 = 8.12

2. Simple Average (Equal Weight)

Simple average formula

CGPA = Σ(SGPA) ÷ N

Use when all semesters carry equal weight or you don't know credit distribution.

3. CGPA ↔ Percentage Conversion

CGPA → %

% = CGPA × Factor + Offset

Common example: 8.12 × 9.5 = 77.14% · VTU-style: 8.5 × 10 − 7.5 = 77.5%

% → CGPA

CGPA = (% − Offset) ÷ Factor

Common example: 77.14% ÷ 9.5 = 8.12 · Mumbai-style: (61% − 11) ÷ 7.1 = 7.0

Common CGPA to Percentage: Quick Reference

10-point scale with the commonly referenced 9.5 factor

Common CGPA to percentage conversions on a 10-point scale
CGPA% (×9.5)Grade
10.095.00%O
9.590.25%O
9.085.50%O
8.580.75%A+
8.1277.14%A+
8.076.00%A+
7.874.10%A
7.571.25%A
7.268.40%A
7.066.50%A
6.864.60%B+
6.561.75%B+
6.057.00%B+
5.552.25%B
5.047.50%C

4.0 Scale equivalents (×25):

4.0 GPA100%
3.7 GPA92.50%
3.5 GPA87.50%
3.3 GPA82.50%
3.0 GPA75%
2.5 GPA62.50%

CGPA Conversion Factors by University

Commonly referenced conversion formulas — always verify with your institution

⚠ Not official: These formulas are collected from publicly available sources and community references. They are not endorsed by any of the listed institutions. Universities regularly update their examination rules, and conversion formulas may vary by batch, regulation year, and programme.

Always verify with your institution's official transcript, academic handbook, or examination controller's office for the exact formula applicable to your specific batch and programme.

CGPA conversion factors by university
InstitutionScaleFactor
Commonly referenced (many Indian colleges)10-Pt× 9.5
VTU (Visvesvaraya Technological Univ.)10-Pt×10, −7.5
Anna University10-Pt× 10
KTU (APJ Abdul Kalam Technological)10-PtTable
Mumbai University (informational)7-Pt×7.1, +11
CBSE10-Pt× 9.5
US & UK Universities4.0× 25
Nigerian & Some African Univ.5.0× 20

These formulas are collected from publicly available discussions and student forums. They are not official and may be outdated. Regulations change by batch and programme — always verify with your institution's official website, academic handbook, or transcript. Use the Custom Factor toggle in the calculator above to enter the exact values from your official documents.

What is CGPA?

Understanding Cumulative Grade Point Average

CGPA (Cumulative Grade Point Average) is the weighted average of all your semester GPAs (SGPAs) across your entire academic career. It represents your overall academic performance and is used by universities, employers, and graduate programs for evaluation.

Weighted Average

Each semester's SGPA is weighted by its total credit hours. Semesters with more credits have a proportionally larger impact on your final CGPA.

Cumulative Score

Unlike a single semester GPA, CGPA accounts for sustained performance across your entire degree program — typically 4, 6, or 8 semesters.

SGPA vs CGPA — Key Differences

Understanding semester and cumulative averages

SGPA (Semester GPA)

  • Grade point average for a single semester
  • Calculated from individual subject grades and credits
  • Resets each semester — fresh calculation
  • Fluctuates based on term performance

CGPA (Cumulative GPA)

  • Weighted average across all completed semesters
  • Represents overall academic standing
  • Appears on final degree certificate
  • What employers and grad schools evaluate

Your SGPA may fluctuate from semester to semester, but your CGPA provides a smoothed, overall picture. Employers and graduate schools primarily look at your final CGPA.

Grading Scales & Classifications

Grade point ranges across 10-point, 4.0, and percentage systems

Grade classifications across different grading scales
Grade10-Point4.0 ScalePercentage
O (Outstanding)9.0–10.03.7–4.090–100%
A+ (Excellent)8.0–8.93.3–3.6980–89%
A (Very Good)7.0–7.93.0–3.2970–79%
B+ (Good)6.0–6.92.5–2.9960–69%
B (Above Avg)5.5–5.92.0–2.4955–59%
C (Average)5.0–5.41.5–1.9950–54%
F (Fail)< 4.0< 1.0< 40%

Quick scan — Grade ↔ 10-Point ↔ Percentage:

O (Outstanding)9.0–10.0 CGPA → 90–100%
A+ (Excellent)8.0–8.9 CGPA → 80–89%
A (Very Good)7.0–7.9 CGPA → 70–79%
B+ (Good)6.0–6.9 CGPA → 60–69%

Common Mistakes When Calculating CGPA

Avoid these errors to get accurate results

Using simple average when credits vary

If your semesters have different credit loads (most do), the weighted formula is essential. An 8.0 SGPA with 30 credits impacts your CGPA more than a 9.0 SGPA with 15 credits.

Using the wrong conversion factor

Different institutions reference different formulas — for example, some use ×9.5 while others use ×10 or (CGPA − 0.75) × 10. Applying the wrong factor can change your percentage by 5–10 points. Always verify with your official transcript.

Confusing SGPA with CGPA

SGPA is for one semester. CGPA is the cumulative weighted average. Your SGPA may drop in a tough semester, but your CGPA changes more gradually.

Mixing grading scales

A 10-point CGPA multiplied by 25 (the 4.0 scale factor) gives an inflated percentage. Always match your conversion factor to your grading scale.

Not accounting for backlogs or fails

Most universities include cleared backlogs in CGPA calculation. Check your exam rules — failed subjects may still affect your cumulative average even after re-examination.

Tips to Improve Your CGPA

Practical strategies for better academic performance

Focus on high-credit subjects

Subjects with more credits have a larger impact on your CGPA. Prioritize study time for 4–5 credit courses over 1–2 credit courses.

Start strong in early semesters

Early semesters set the baseline. A strong start creates a buffer that's easier to maintain than recovering from a low CGPA.

Monitor your trend

Use the SGPA Trend chart and Semester Breakdown table to spot patterns. If your SGPA is declining, intervene early before it drags down your cumulative CGPA.

Verify your conversion factor

Always check your university's official conversion formula. A small factor difference can mean a significant change in your reported percentage.

Track semester by semester

Use the Semester Breakdown table and SGPA Trend chart to spot performance patterns and intervene early when grades dip.

Frequently Asked Questions

Common questions about CGPA calculation, conversion to percentage, and grading scales — answered with examples

Embed CGPA Calculator

Add this calculator to your website or blog for free.