Formula
simple: CGPA = (SGPA₁ + SGPA₂ + … + SGPAₙ) ÷ ncredit-weighted: CGPA = Σ(SGPAᵢ × creditsᵢ) ÷ Σ(creditsᵢ)
- SGPA — semester grade point average
Average the semester grades, giving each semester more weight if it had more credits.
Worked example
Four semesters with credits
- Grading scale
- 10-point scale
- Semester grades (SGPA)
- 8.2, 7.9, 8.5, 9.0
- Credits per semester
- 20, 22, 24, 18
CGPA
8.38
Simple average of the semester grades: 8.40
Semesters counted: 4
How it works
With SGPAs of 8.2, 7.9, 8.5 and 9.0 the simple average is 33.6 ÷ 4 = 8.40. If the semesters carried 20, 22, 24 and 18 credits, the credit-weighted CGPA is 8.38 — slightly lower because the weaker semester had more credits. Most universities report the credit-weighted figure, so add credits whenever you have them.
To convert a CGPA into a percentage use CGPA to Percentage Calculator — the rule depends on your university. To compute a single semester's grade from subject grades use SGPA Calculator; for the US-style 4.0 scale see GPA Calculator.
Assumptions and limits
- Result is rounded to two decimal places. Some institutions truncate instead — follow your own rule.
- Up to 20 semesters.
Your institution’s rules come firstBoards and universities set their own grading and conversion rules. Where they differ, the rule printed by your institution is the one that counts.
Related tools
CGPA to Percentage CalculatorConvert CGPA to percentage using CBSE's × 9.5 rule, × 10, or your university's own formula.SGPA CalculatorSemester grade point average from grades and credits on a 10-point scale.GPA CalculatorSemester GPA from letter grades and credits on the US 4.0 scale, with cumulative GPA.Percentage to CGPA CalculatorConvert a percentage to a 10-point CGPA by reversing the conversion rule you choose.Weighted Average CalculatorMathAverage values that count for different amounts, such as graded assignments.Marks Percentage CalculatorPercentage from marks obtained, marks from a percentage, or an overall percentage across subjects.