Converting your CGPA or SGPA to a percentage is one of the most common calculations students need for college applications, job forms, and eligibility checks. Below you’ll find the standard conversion formulas, worked examples, and a quick-reference table.
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CGPA to Percentage Formula
The most widely used formula, popularized by CBSE, is:
Percentage = CGPA × 9.5
For example, a CGPA of 8.4 converts to 8.4 × 9.5 = 79.8%.
Note: Some boards and universities have moved away from a fixed multiplier, or use their own official conversion table. Always check your institution’s current guidelines for official documents.
SGPA to Percentage Formula
SGPA (Semester Grade Point Average) conversion formulas vary by university, since each institution sets its own grading scale. The most common approaches are:
- General approximation: Percentage = SGPA × 9.5
- Anna University: Percentage = (SGPA × 10) − 7.5
- VTU: Percentage = (SGPA − 0.75) × 10
Because these differ, confirm the exact formula your university publishes before using the result on an official form.
Worked Examples
| CGPA | Calculation | Percentage |
|---|---|---|
| 10.0 | 10.0 × 9.5 | 95.0% |
| 9.5 | 9.5 × 9.5 | 90.25% |
| 9.0 | 9.0 × 9.5 | 85.5% |
| 8.5 | 8.5 × 9.5 | 80.75% |
| 8.0 | 8.0 × 9.5 | 76.0% |
| 7.5 | 7.5 × 9.5 | 71.25% |
| 7.0 | 7.0 × 9.5 | 66.5% |
| 6.5 | 6.5 × 9.5 | 61.75% |
| 6.0 | 6.0 × 9.5 | 57.0% |
Percentage to CGPA (Reverse Calculation)
To go the other way, divide your percentage by 9.5:
CGPA = Percentage ÷ 9.5
For example, 85% ÷ 9.5 = 8.9 CGPA.
Frequently Asked Questions
Q: Does the ×9.5 formula apply to every board or university?
A: No. It’s the most commonly cited formula (originally from CBSE) but many universities publish their own conversion tables. Check your institution’s official documentation for admissions or certificates.
Q: What’s the difference between CGPA and SGPA?
A: SGPA is your grade point average for a single semester; CGPA is the cumulative average across all semesters completed so far.
Q: How do I convert GPA (out of 4.0) to percentage?
A: A common approximation is Percentage = GPA × 25, though this varies by grading scale.
Need to run other percentage calculations? Try our full Percentage Calculator for increases, decreases, discounts, and more.