Convert CGPI, SGPI, CGPA to Percentage and back using official Mumbai University formulas.
Convert your Cumulative Grade Performance Index to equivalent percentage.
Equivalent Percentage
Reverse-calculate approximate CGPI from your percentage.
Approximate CGPI
Convert a single semester's SGPI to equivalent percentage.
Equivalent Percentage
Enter SGPIs for each semester to calculate your overall CGPI. Credits are optional — leave blank for simple average.
Your CGPI
For Arts, Science & Commerce programs under CBCS (10-point scale, 2018 onwards).
Equivalent Percentage
Reverse-calculate approximate CGPA from percentage (CBCS, 10-point scale).
Approximate CGPA
Enter your marks (out of 100) to see the corresponding grade in both 7-point and 10-point scales.
Grade Result
Enter each subject's credits and grade points to calculate your semester SGPA.
Your SGPA
CGPI stands for Cumulative Grade Performance Index. It is the grading metric used by Mumbai University's Faculty of Technology (Engineering) to represent a student's overall academic performance across all semesters on a 10-point scale. Your CGPI is calculated as the weighted average of your SGPI (Semester Grade Performance Index) values from each completed semester.
For example, if your CGPI is 7.85, your equivalent percentage is 71% (using the official post-2015 engineering formula: ceil(7.4 × 7.85 + 12)).
| CGPI | CGPA | |
|---|---|---|
| Full Form | Cumulative Grade Performance Index | Cumulative Grade Point Average |
| Used By | Engineering (Faculty of Technology) | Arts, Science, Commerce (CBCS) |
| Scale | 10-point | 10-point (newer) / 7-point (older) |
| % Formula | 7.1 × CGPI + 12 (below 7) 7.4 × CGPI + 12 (7 and above) | 7.1 × CGPA + 11 |
| Rounding | Rounded up (ceil) | No rounding |
Key takeaway: CGPI and CGPA both measure overall performance on a 10-point scale, but they use different percentage conversion formulas. Always check which system your program follows before converting.
| Grade | Marks | GP |
|---|---|---|
| O (Outstanding) | 70+ | 7 |
| A (Very Good) | 60 – 69.99 | 6 |
| B (Good) | 55 – 59.99 | 5 |
| C (Average) | 50 – 54.99 | 4 |
| D (Below Avg) | 45 – 49.99 | 3 |
| E (Poor) | 40 – 44.99 | 2 |
| F (Fail) | < 40 | 1 |
| Grade | Marks | GP |
|---|---|---|
| O+ (Exceptional) | 90 – 100 | 10 |
| O (Outstanding) | 80 – 89.99 | 9 |
| A (Very Good) | 70 – 79.99 | 8 |
| B (Good) | 60 – 69.99 | 7 |
| C (Average) | 50 – 59.99 | 6 |
| D (Pass) | 40 – 49.99 | 5 |
| F (Fail) | < 40 | 0 |
CGPI stands for Cumulative Grade Performance Index. It is the weighted average of SGPIs (Semester Grade Performance Index) across all semesters in Mumbai University engineering programs. CGPI is used to represent overall academic performance on a 10-point scale.
For Engineering students (Circular No. Exam./Engg./7-20 of 2015): If CGPI is less than 7, Percentage = 7.1 x CGPI + 12. If CGPI is 7 or above, Percentage = 7.4 x CGPI + 12. The result is rounded to the next full integer. For Arts, Science and Commerce (CBCS 10-point scale), Percentage = 7.1 x CGPA + 11.
SGPI (Semester Grade Performance Index) represents academic performance for a single semester, while CGPI (Cumulative Grade Performance Index) represents the overall performance across all semesters. CGPI is typically calculated as the weighted or simple average of all SGPIs.
They are similar but used in different contexts within Mumbai University. CGPI (Cumulative Grade Performance Index) is primarily used in engineering programs under the Faculty of Technology. CGPA (Cumulative Grade Point Average) is used in Arts, Science, and Commerce faculties under the CBCS (Choice Based Credit System). Both measure overall academic performance on a 10-point scale but use slightly different conversion formulas.
As per Circular No. Exam./Engg./7-20 of 2015: For CGPI below 7, use Percentage = 7.1 x CGPI + 12. For CGPI of 7 and above, use Percentage = 7.4 x CGPI + 12. The result is always rounded up to the next full integer.
SGPA is calculated by multiplying the grade points obtained in each subject by the credit value of that subject, summing all these products, and then dividing by the total credits for that semester. Formula: SGPA = Sum of (Credit x Grade Point) / Total Credits for the semester.
In the 7-point grading system (Arts/Science/Commerce), the minimum passing grade is E with marks between 40-44.99 and 2 grade points. In the 10-point grading system used in newer programs, a D grade (40-49.99 marks, 5 grade points) is the minimum passing grade. An F grade indicates failure.
Yes. Mumbai University uses different conversion formulas for different faculties. Engineering (post-2015) uses a two-tier formula based on whether CGPI is above or below 7. Arts, Science, and Commerce (CBCS) use Percentage = 7.1 x CGPA + 11. The old engineering syllabus (pre-2018) uses Percentage = 7.25 x CGPI + 11. Always check which formula applies to your specific program and admission year.