Convert Percentage to CGPA
Calculate your equivalent CGPA on a standard 10-point scale from your total percentage marks directly, or compute it from individual subject scores and credit weights.
Choose between direct percentage input or subject-wise credit weighting
Step-by-Step Mathematical Derivation
Percentage to CGPA Mathematical Formulas
Official algebraic inverse formulas used to derive 10-point CGPA scores from percentage marks.
VTU CBCS Reverse Formula
Algebraic inverse of Percentage = (CGPA - 0.75) × 10 (capped at 10.00 CGPA).
Linear Scale Derivation
Direct linear inverse for VTU 2022 Scheme (NEP) and standard AICTE 10-point guidelines.
CBSE 10-Point Inverse
Official inverse of the standard CBSE 9.5 multiplier.
KTU Reverse Formula
Derived by adding 3.75 to the percentage score and dividing by 10.
Multi-Subject Weighted Percentage Derivation
When starting from individual subject marks, weighted percentage is computed before converting into equivalent CGPA.
Percentage to CGPA Lookup Table
Quickly find equivalent CGPA on a 10.0 scale from common percentage scores.
| Percentage (%) | VTU 2022 (P / 10) | VTU CBCS ((P/10)+0.75) | CBSE (P / 9.5) | AICTE (P / 10) | KTU ((P+3.75)/10) |
|---|---|---|---|---|---|
| 100% | 10.00 | 10.00 | 10.00 | 10.00 | 10.00 |
| 95% | 9.50 | 10.00 | 10.00 | 9.50 | 9.88 |
| 90% | 9.00 | 9.75 | 9.47 | 9.00 | 9.38 |
| 85% | 8.50 | 9.25 | 8.95 | 8.50 | 8.88 |
| 80% | 8.00 | 8.75 | 8.42 | 8.00 | 8.38 |
| 75% | 7.50 | 8.25 | 7.89 | 7.50 | 7.88 |
| 70% | 7.00 | 7.75 | 7.37 | 7.00 | 7.38 |
| 65% | 6.50 | 7.25 | 6.84 | 6.50 | 6.88 |
| 60% | 6.00 | 6.75 | 6.32 | 6.00 | 6.38 |
| 55% | 5.50 | 6.25 | 5.79 | 5.50 | 5.88 |
| 50% | 5.00 | 5.75 | 5.26 | 5.00 | 5.38 |
| 40% | 4.00 | 4.75 | 4.21 | 4.00 | 4.38 |
Frequently Asked Questions
Clear answers to questions on converting percentage marks back to 10-point CGPA.
For standard 10-point linear scales (AICTE and VTU NEP 2022), divide your percentage by 10 (CGPA = Percentage / 10). For VTU CBCS schemes, use CGPA = (Percentage / 10) + 0.75. For CBSE Class 10th, divide by 9.5 (CGPA = Percentage / 9.5).
By inverting the forward formula Percentage = (CGPA - 0.75) × 10, you get CGPA = (Percentage / 10) + 0.75. For example, if you scored 82.50%, your CGPA is (82.50 / 10) + 0.75 = 9.00 CGPA.
For CBSE Class 10, divide your aggregate percentage by 9.5 (CGPA = Percentage / 9.5). For example, 76.00% gives 76.00 / 9.5 = 8.00 CGPA.
For APJ Abdul Kalam Technological University (KTU), the inverse formula is CGPA = (Percentage + 3.75) / 10. For example, 86.25% gives (86.25 + 3.75) / 10 = 9.00 CGPA.
No. CGPA on a standard 10-point scale is capped at a maximum of 10.00. While formulas like (Percentage / 10) + 0.75 mathematically compute to values above 10.0 for percentages above 92.5%, the actual CGPA is bounded at 10.00.