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CGPA Calculator

Cumulative GPA across all semesters.

Reviewed by the Calculation Machine team · Updated 24 October 2026 · How we check our maths

Your values

ⓘ Live results

Results
CGPA
8.48
Percentage
80.6%
Total credits
96
Best semester
9.1

Quick answer

CGPA (cumulative grade point average) is the credit-weighted average of your semester GPAs: multiply each semester's GPA (SGPA) by its credits, add the results, and divide by total credits. Semesters of 8.2, 7.9, 8.7 and 9.1 with 24, 24, 22 and 26 credits give a CGPA of 8.48, which is about 80.6% using the common ×9.5 conversion.

What the CGPA calculator does

Enter your semester GPAs and the credits for each semester, choose the 10-point or 4-point scale, and this calculator returns your CGPA, an equivalent percentage, total credits and your best semester. It is built for university students in India and other countries on a 10-point credit system, and also works for 4.0-scale cumulative GPAs.

The key point is weighting by credits. A heavy 26-credit semester should count more than a light 18-credit one; a plain average of SGPAs gives the wrong answer whenever credit loads differ. If your semesters all carry the same credits, the two methods match.

To calculate a single semester's GPA from course grades first, use the GPA calculator. Percentage conversions vary by university — the ×9.5 rule shown here is the most widely quoted, but your transcript or university regulations decide which formula applies to you.

The formula

CGPA = Σ(SGPAᵢ × Cᵢ) ÷ ΣCᵢ Percentage (10-point) ≈ CGPA × 9.5 Percentage (4-point) = CGPA ÷ 4 × 100

Formula variables
SymbolMeaningUnit
SGPAᵢGrade point average for semester ipoints (out of 10 or 4)
CᵢCredits registered in semester icredits
9.5Conversion factor popularized by CBSE and adopted by many universities—

This is a weighted mean, the method set out in the UGC Choice Based Credit System (CBCS) guidelines for Indian universities, where CGPA is computed from SGPAs weighted by semester credits. The ×9.5 factor comes from CBSE's school grading scheme; several universities publish their own conversion, such as (CGPA − 0.5) × 10 or (CGPA − 0.75) × 10, so check your regulations. The 4-point percentage here is a straight proportion; US colleges do not generally convert GPAs to percentages, so treat it as indicative only.

Worked examples

Engineering student after four semesters

SGPAs of 8.2, 7.9, 8.7 and 9.1 with 24, 24, 22 and 26 credits on a 10-point scale.

Inputs

  • Semester GPAs (comma separated)8.2, 7.9, 8.7, 9.1
  • Credits per semester24, 24, 22, 26
  • Scale10-point

Result

  • CGPA8.48
  • Percentage80.6%
  • Total credits96
  • Best semester9.1

CGPA is 8.48 over 96 credits, about 80.6% with the ×9.5 rule. The 9.1 semester carries the most credits, so it pulls the CGPA up slightly more than a simple average (8.475) would.

Cumulative GPA on a 4.0 scale

A student with semester GPAs of 3.4, 3.6, 3.1 and 3.8 over 15, 16, 14 and 15 credits.

Inputs

  • Semester GPAs (comma separated)3.4, 3.6, 3.1, 3.8
  • Credits per semester15, 16, 14, 15
  • Scale4-point

Result

  • CGPA3.48
  • Percentage87.1%
  • Total credits60
  • Best semester3.8

Cumulative GPA is 3.48 over 60 credits. The 87.1% figure is a simple proportion of 4.0, not an official conversion — US transcripts and applications use the GPA itself.

First-year CGPA with uneven credits

SGPAs of 7.2 (20 credits) and 7.8 (22 credits) on a 10-point scale.

Inputs

  • Semester GPAs (comma separated)7.2, 7.8
  • Credits per semester20, 22
  • Scale10-point

Result

  • CGPA7.51
  • Percentage71.4%
  • Total credits42
  • Best semester7.8

CGPA is 7.51, about 71.4%. Many employers and postgraduate programs in India screen at a CGPA of 6.0 to 7.0 or 60%, so check the exact cut-off they state.

10-point letter grades under the UGC credit system

The UGC CBCS guidelines recommend this grade-point scale. Individual universities map marks to letters differently, so the marks ranges are set locally.

UGC CBCS 10-point grading scale
Letter gradeMeaningGrade points
OOutstanding10
A+Excellent9
AVery good8
B+Good7
BAbove average6
CAverage5
PPass4
FFail0

SGPA, CGPA and GPA: which is which

  • SGPA (semester grade point average) is the credit-weighted average of course grade points within one semester.
  • CGPA combines all semesters so far, weighted by the credits of each semester.
  • GPA is the general term; on US transcripts, "cumulative GPA" is the same idea as CGPA on a 4.0 scale.
  • Failed and repeated courses: in most systems a fail (0 points) stays in the credit total until you clear it, which drags the CGPA down. When you pass on a re-attempt, many universities replace the old grade — check whether yours averages both attempts.

For a weighted average of anything else, such as marks with different maximums, the weighted average calculator uses the same arithmetic.

Raising your CGPA: how much one semester can move it

The more credits you have completed, the less any single semester moves your CGPA. After 96 credits at 8.48, a 24-credit semester at 9.5 lifts the CGPA only to about 8.69. To reach a target, work backwards: target CGPA × (credits so far + new credits) − current CGPA × credits so far, divided by the new credits, is the SGPA you need. For example, going from 7.5 over 80 credits to 8.0 after 20 more credits needs an SGPA of 10.0 — so set realistic targets early in the degree. The percentage calculator helps when an application asks for marks as a percentage of a maximum.

How to use the CGPA Calculator

  1. 1Find each semester's SGPA and credits on your grade cards or student portal.
  2. 2Enter the SGPAs separated by commas, in any order, and the credits in the same order.
  3. 3Choose the 10-point or 4-point scale to match your university.
  4. 4Read your CGPA, total credits and the indicative percentage; confirm the percentage formula with your university before quoting it.

Frequently asked questions

How do I convert CGPA to percentage?

The most common rule is CGPA × 9.5, so 8.0 becomes 76%. Some universities publish a different formula, and their official conversion is the one to use on applications.

Is CGPA just the average of my SGPAs?

Only if every semester has the same credits. Otherwise it is the credit-weighted average, which gives more influence to semesters with more credits.

What is a good CGPA?

On a 10-point scale, 8.0 or above is generally considered very good and 9.0+ excellent. Many recruiters set cut-offs between 6.0 and 7.5, depending on the company.

How do I convert a 10-point CGPA to a 4.0 GPA?

A rough proportion is CGPA ÷ 10 × 4, so 8.5 becomes about 3.4. Graduate schools abroad often ask for a credential evaluation (such as WES) instead, which converts course by course.

Do failed subjects count in CGPA?

Usually yes — a failed course adds credits with 0 grade points until it is cleared. Rules on replacing the grade after a re-attempt vary by university.

References

  • UGC Guidelines on Adoption of Choice Based Credit System — University Grants Commission (India)
  • Continuous and Comprehensive Evaluation grading scheme — Central Board of Secondary Education (CBSE)

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