CGPA Calculator

CGPA vs GPA

GPA usually describes a single term, while CGPA (cumulative grade point average) covers your whole programme. Each semester contributes in proportion to its credit load, so a 24-credit semester counts for more than a 16-credit one.

CGPA = Σ (semester GPA × semester credits) ÷ Σ credits

Common conversions

• 10-point scale: percentage ≈ CGPA × 9.5
• 4-point scale: percentage ≈ CGPA ÷ 4 × 100
• 5-point scale: percentage ≈ CGPA ÷ 5 × 100

Worked example

A CGPA of 8.5 on a 10-point scale converts, using the widely used 9.5 multiplier, to about 80.75%. A CGPA of 7.0 becomes roughly 66.5%. Always check your own institution's rule, because a few universities publish a different table.

Everyday uses

• Completing university and job application forms
• Checking scholarship or eligibility cut-offs
• Comparing a cumulative average with overseas grading
• Tracking a cumulative average across semesters
• Converting a final result for a résumé

Why credit weighting changes the answer

CGPA is a credit-weighted mean: each course's grade points are multiplied by its credit hours, the products are summed, and the total is divided by the total credits. A simple average of the same grades gives a different — usually wrong — answer whenever courses carry different credit values.

Take four courses: an A in a 4-credit course, a B in a 4-credit course, a C in a 3-credit course and an A in a 1-credit course, on a 4.0 scale. The credit-weighted CGPA is (4×4 + 3×4 + 2×3 + 4×1) ÷ 12 = 38 ÷ 12 = 3.17. A plain average of 4, 3, 2 and 4 gives 3.25. The gap comes entirely from the low grade sitting in a heavier course than the high one.

Institutions differ on the details, and the differences matter. Some count only the best attempt at a repeated course; others average both attempts. Some exclude transfer credits from the CGPA while showing them on the transcript. Some weight by credit hours, some by course units, and a few use a fixed denominator for the whole programme. This calculator follows the weighted method; where your institution publishes a different rule, its rule wins.

Scale conversion is the other trap. A 10-point CGPA of 8.0 is not officially the same as a 4.0-scale GPA of 3.2 — the mapping depends on the institution's own grade bands, and dividing by 2.5 is a rough approximation rather than a conversion.

Frequently asked questions

More worked examples

• Two semesters at 8.0 and 9.0 CGPA with equal credits give a CGPA of 8.5.
• Weighted by credit, 20 credits at 8.0 and 30 credits at 9.0 gives 8.6, because 160 plus 270 divided by 50 is 8.6.
• On a ten-point scale, the widespread conversion percentage = CGPA × 9.5 turns a CGPA of 8.0 into 76 percent.
• On a four-point scale, a 3.5 GPA is usually read as about 87.5 percent.

CGPA to percentage, ten-point scale

Common mistakes to avoid

• Applying the 9.5 multiplier everywhere. It is a common convention on Indian ten-point scales, not a universal law, and some universities use different factors.
• Averaging semester GPAs without weighting by credits, which is wrong whenever semesters carry different loads.
• Mixing a four-point CGPA with a ten-point conversion, which produces a figure that cannot be right.
• Rounding each semester before combining them, which compounds error across eight semesters.

Further questions

Assumptions and limits

CGPA is a credit-weighted average of the semester GPAs you enter. The calculation assumes every semester uses the same grade-point scale and that the credits are comparable. Institutions may exclude retakes, include only the best attempt, or use different grade points for the same letter grade.

• Your institution’s registrar or academic catalogue is the authoritative source for the CGPA rules that apply to your programme.

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