CGPA Calculator

Formula & Calculation Methodology

CGPA = Sum of Subject Grade Points / Total Subjects | CBSE Percentage Formula: Percentage (%) = CGPA × 9.5

	ext{CGPA} = rac{sum 	ext{Grade Points}}{N}, quad 	ext{Percentage}% = 	ext{CGPA} 	imes 9.5

Step-by-Step Worked Example

5 Subject Grade Points: 8.5, 9.0, 8.0, 8.5, 9.0 (CBSE 10-Point Scale)

1. Sum of Grade Points = 8.5 + 9.0 + 8.0 + 8.5 + 9.0 = 43.0
2. CGPA = 43.0 / 5 = 8.60
3. CBSE Percentage Conversion = 8.60 × 9.5 = 81.70%

What is CGPA?

Cumulative Grade Point Average (CGPA) is an academic grading system used by schools, boards (such as CBSE), colleges, and universities in India to measure student academic performance across semesters or academic years.

How CGPA is Calculated

CGPA is calculated by taking the average of grade points obtained across all main subjects:

CGPA = Total Sum of Subject Grade Points / Total Number of Subjects

CGPA Formula

• Simple Average: CGPA = Sum of Grade Points / Number of Subjects
• Weighted Average (Credit-based SGPA/CGPA): CGPA = Sum of (Grade Point × Subject Credit) / Total Credits

CGPA to Percentage Conversion

To convert CGPA into percentage for job applications or higher studies, official conversion formulas must be applied.

CBSE CGPA to Percentage Rule (× 9.5)

CBSE officially uses a multiplier of 9.5 to convert 10-point CGPA to percentage:

Percentage (%) = CGPA × 9.5

University Conversion Factor Differences

Important Note: Different Indian technical boards and universities use specific conversion rules:

1. CBSE: Percentage = CGPA × 9.5

2. AICTE / Engineering: Percentage = (CGPA − 0.75) × 10

3. Mumbai University: Percentage = (CGPA × 7.1) + 11 (for 10-point grading system)

CGPA Calculation Worked Example

For 5 subject grade points of 8.5, 9.0, 8.0, 8.5, 9.0:

1. Total Grade Points = 43.0

2. CGPA = 43.0 / 5 = 8.60

3. CBSE Percentage = 8.60 × 9.5 = 81.70%

Frequently Asked Questions