Convert your Semester Grade Point Average (SGPA) to Cumulative Grade Point Average (CGPA) with credit-weighted calculations, step-by-step solutions, and comprehensive grading information.
Enter your semester SGPAs and credits, then click Calculate to see your CGPA
SGPA (Semester Grade Point Average) is the average of grade points obtained in all courses during a particular semester. It represents your academic performance for that specific semester only. SGPA is calculated by taking the weighted average of grade points, where the weights are the credit hours of each course.
CGPA (Cumulative Grade Point Average) is the overall average of grade points obtained across all semesters from the beginning of your academic program. It represents your cumulative academic performance throughout your entire course duration. CGPA gives a comprehensive view of a student's overall academic achievement.
The main difference is that SGPA is calculated for each semester individually, while CGPA is the weighted average of all semester SGPAs, taking into account the credits of each semester. CGPA provides a holistic picture of your academic journey, while SGPA shows your performance in a specific semester.
Where:
SGPA1, SGPA2, ..., SGPAn = SGPA of each semester
C1, C2, ..., Cn = Total credits of each semester
n = Total number of semesters
If all semesters have the same number of credits, you can use this simplified formula:
CGPA = SGPA1 + SGPA2 + ... + SGPAnn
Note: This simplified formula only works when all semesters have identical credit hours. Always use the credit-weighted formula for accurate results when credits vary.
Gather the SGPA and total credits for each semester you want to include in the CGPA calculation. Make sure you have accurate values from your academic records or grade sheets.
For each semester, multiply the SGPA by the number of credits for that semester. This gives you the weighted grade points for each semester.
Weighted Pointssemester = SGPAsemester × Creditssemester
Add up all the weighted points from step 2 to get the total weighted sum. This represents your cumulative weighted performance across all semesters.
Add up the total credits from all semesters. This is the total credit hours you've completed.
Divide the total weighted sum (from step 3) by the total credits (from step 4). The result is your CGPA.
CGPA = Total Weighted Sum ÷ Total Credits
Given Data:
| Semester | SGPA | Credits |
|---|---|---|
| Semester 1 | 8.5 | 20 |
| Semester 2 | 8.2 | 22 |
| Semester 3 | 8.7 | 24 |
| Semester 4 | 8.4 | 23 |
Solution:
Step 1: Calculate weighted points for each semester
Sem 1: 8.5 × 20 = 170.0
Sem 2: 8.2 × 22 = 180.4
Sem 3: 8.7 × 24 = 208.8
Sem 4: 8.4 × 23 = 193.2
Step 2: Sum all weighted points
Total = 170.0 + 180.4 + 208.8 + 193.2 = 752.4
Step 3: Sum all credits
Total Credits = 20 + 22 + 24 + 23 = 89
Step 4: Calculate CGPA
CGPA = 752.4 ÷ 89 = 8.45
Final Answer: CGPA = 8.45
Given Data:
| Semester | SGPA | Credits | Weighted Points |
|---|---|---|---|
| Semester 1 | 7.8 | 22 | 171.6 |
| Semester 2 | 8.2 | 24 | 196.8 |
| Semester 3 | 8.5 | 26 | 221 |
| Semester 4 | 8.9 | 25 | 222.5 |
| Semester 5 | 9.1 | 24 | 218.4 |
| Semester 6 | 8.7 | 23 | 200.1 |
| Total | - | 144 | 1230.4 |
Calculation:
CGPA = Total Weighted Points ÷ Total Credits
CGPA = 1230.4 ÷ 144
CGPA = 8.54
Final CGPA = 8.54
(Percentage ≈ 8.54 × 9.5 = 81.13%)
Given: All semesters have 20 credits each
SGPA values: 7.5, 8.0, 8.5, 8.2
Credits per semester: 20 (all equal)
Since credits are equal, use simplified formula:
CGPA = (7.5 + 8.0 + 8.5 + 8.2) ÷ 4
CGPA = 32.2 ÷ 4
CGPA = 8.05
Verification with weighted formula:
= (7.5×20 + 8.0×20 + 8.5×20 + 8.2×20) ÷ (20+20+20+20)
= (150 + 160 + 170 + 164) ÷ 80
= 644 ÷ 80 = 8.05 ✓
CGPA = 8.05
Calculate final CGPA for a complete 4-year BTech program:
| Sem | SGPA | Credits | SGPA × Credits |
|---|---|---|---|
| 1 | 7.6 | 21 | 159.6 |
| 2 | 8.1 | 23 | 186.3 |
| 3 | 8.4 | 24 | 201.6 |
| 4 | 8.7 | 26 | 226.2 |
| 5 | 8.9 | 25 | 222.5 |
| 6 | 9 | 24 | 216.0 |
| 7 | 8.8 | 22 | 193.6 |
| 8 | 9.2 | 20 | 184.0 |
| Total | 185 | 1603.8 | |
Final Calculation:
CGPA = 1603.8 ÷ 185 = 8.67
Overall CGPA = 8.67
Grade: A+ (Excellent)
Percentage ≈ 82.37%
| Sem 1 SGPA | Sem 2 SGPA | CGPA | Grade | Percentage |
|---|---|---|---|---|
| 9 | 9 | 9.00 | O | 85.5% |
| 8.5 | 8.5 | 8.50 | A+ | 80.75% |
| 8 | 8.2 | 8.10 | A+ | 76.95% |
| 7.5 | 8 | 7.75 | A | 73.63% |
| 7 | 7.5 | 7.25 | A | 68.88% |
| 6.5 | 7 | 6.75 | B+ | 64.13% |
| 6 | 6.5 | 6.25 | B+ | 59.38% |
| S1 (20c) | S2 (22c) | S3 (24c) | S4 (23c) | CGPA | Grade |
|---|---|---|---|---|---|
| 9 | 9 | 9 | 9 | 9.00 | O |
| 8.5 | 8.7 | 8.9 | 8.6 | 8.68 | A+ |
| 8 | 8.3 | 8.5 | 8.2 | 8.26 | A+ |
| 7.5 | 7.8 | 8 | 7.7 | 7.76 | A |
| 7 | 7.3 | 7.5 | 7.2 | 7.26 | A |
Note: 'c' denotes credits per semester
| CGPA Range | Grade | Description | Percentage Range | Classification |
|---|---|---|---|---|
| 9.0 - 10.0 | O | Outstanding | 85.5% - 95% | First Class with Distinction |
| 8.0 - 8.9 | A+ | Excellent | 76% - 85.4% | First Class with Distinction |
| 7.0 - 7.9 | A | Very Good | 66.5% - 75.9% | First Class |
| 6.0 - 6.9 | B+ | Good | 57% - 66.4% | Second Class |
| 5.0 - 5.9 | B | Above Average | 47.5% - 56.9% | Second Class |
| 4.0 - 4.9 | C | Average | 38% - 47.4% | Pass Class |
| Below 4.0 | F | Fail | Below 38% | Fail |
Percentage = CGPA × 9.5
Example: CGPA 8.5 = 8.5 × 9.5 = 80.75%
Percentage = GPA4.0 × 100
Example: GPA 3.5 = (3.5 ÷ 4.0) × 100 = 87.5%
Percentage = (CGPA − 0.5) × 10
Example: CGPA 8.5 = (8.5 − 0.5) × 10 = 80%
⚠️ Important: Different universities may use different conversion formulas. Always check with your university's official guidelines for the most accurate conversion method.
Wrong: Simple Average
Sem 1: 8.0 (20 credits)
Sem 2: 9.0 (24 credits)
CGPA = (8.0 + 9.0) ÷ 2 = 8.5 ❌
Correct: Weighted Average
Weighted sum = (8.0×20) + (9.0×24) = 376
Total credits = 20 + 24 = 44
CGPA = 376 ÷ 44 = 8.55 ✓
Wrong Formula
CGPA = 8.5
Percentage = 8.5 × 10 = 85% ❌
Correct Formula
CGPA = 8.5
Percentage = 8.5 × 9.5 = 80.75% ✓
If you failed a semester and repeated it, you should only include the SGPA from the semester you passed (usually the better grade). Don't average both attempts.
❌ Wrong: Including both 2.5 (failed) and 7.0 (passed)
✓ Correct: Use only 7.0 (the passing attempt)
Don't round intermediate calculations. Only round the final CGPA result.
❌ Wrong: Rounding weighted sums before division
✓ Correct: Keep full precision until the final step
Courses with more credits have a greater impact on your CGPA. Prioritize studying for these subjects to maximize your grade improvement.
Maintaining steady grades across all semesters is better than excelling in one semester and performing poorly in another.
CGPA is cumulative, so improving your grades in earlier semesters has more impact than in later semesters. Start strong!
If your university allows, consider retaking courses where you scored poorly. The improved grade can significantly boost your CGPA.
SGPA (Semester Grade Point Average) is the average grade point for a single semester, while CGPA (Cumulative Grade Point Average) is the overall average of all semesters combined. SGPA measures performance for one semester, whereas CGPA represents your entire academic performance from the start of your program.
CGPA is calculated using a credit-weighted average. Multiply each semester's SGPA by its total credits, sum all these products, then divide by the total credits of all semesters. Formula: CGPA = Σ(SGPA × Credits) ÷ Σ(Credits). This ensures that semesters with more credits have proportionally more impact on your CGPA.
Only if all semesters have the exact same number of credits. If credits vary between semesters (which is common), you must use the weighted formula. Simply averaging SGPAs will give an incorrect result when credit hours differ. Always use the credit-weighted calculation for accuracy.
For most Indian universities using a 10-point scale, use the formula: Percentage = CGPA × 9.5. For example, a CGPA of 8.0 equals 76%. However, conversion formulas can vary by university - CBSE uses ×9.5, some universities use (CGPA-0.5)×10, and international 4.0 scale uses (GPA÷4.0)×100. Always check your institution's official conversion method.
For engineering students in India: 9.0+ is outstanding and opens doors to top companies and higher education; 8.0-8.9 is excellent and highly competitive for good placements; 7.0-7.9 is very good and acceptable for most companies; 6.0-6.9 is good and meets most placement criteria; 5.0-5.9 is average. Most reputed companies have a cutoff around 6.5-7.0 CGPA.
Yes, significantly. For higher studies (MS, MBA, PhD), universities often have minimum CGPA requirements (typically 7.0-8.0 for good programs). For campus placements, many companies set CGPA cutoffs (usually 6.0-7.5). However, CGPA is just one factor - projects, internships, skills, and interviews are equally important. A lower CGPA can be compensated with strong practical experience and skills.
While it's harder to significantly improve CGPA in later semesters (since more credits are already counted), you can: 1) Score high in high-credit courses, 2) Maintain consistent 9.0+ SGPAs in remaining semesters, 3) Check if your university allows course retakes to replace poor grades, 4) Focus on core subjects with more credits, 5) Consider taking additional electives if it helps your average. Even small improvements compound over time.
If you fail a subject, it typically receives 0 grade points, which significantly impacts your SGPA for that semester and consequently your CGPA. When you retake and pass the course, universities usually either: 1) Replace the F grade with your new grade, or 2) Average both attempts. Check your university's policy. To minimize damage, retake failed courses as soon as possible and aim for the highest grade you can achieve.
Yes, "credits" and "credit hours" are generally the same and used interchangeably in most universities. They represent the weightage or importance of a course, typically based on the number of hours of instruction per week. A 3-credit course usually means 3 hours of class per week. Some universities also use "credit points" or "units" - these all refer to the same concept for CGPA calculation purposes.
Backlogs (failed subjects carried forward) affect CGPA by contributing 0 grade points until cleared. Once you pass the backlog subject in a later semester: 1) The 0 is usually replaced with your passing grade, 2) Your CGPA is recalculated with the new grade, 3) Some universities count the credits in the semester you cleared it, not the original semester. This can improve your CGPA. Having active backlogs also often disqualifies you from campus placements regardless of CGPA.
Understanding how to calculate CGPA from SGPA is essential for tracking your academic progress throughout your college or university journey. The credit-weighted formula ensures that each semester contributes proportionally to your overall performance, giving you an accurate representation of your cumulative achievement.
Remember that CGPA is more than just a number - it reflects your dedication, consistency, and academic growth over time. Use our SGPA to CGPA calculator to plan your academic goals, track your progress, and understand how your performance in each semester affects your overall standing.
Whether you're aiming for top placements, higher education abroad, or simply want to monitor your academic performance, this calculator and comprehensive guide provide all the tools and knowledge you need to succeed. Keep striving for excellence!