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SGPA to CGPA calculator (credit-weighted)

  

CGPA is the credit-weighted mean of semester SGPAs.

CGPA

8.56

385 credit points ÷ 45 credits

How we got this

  1. SGPA × credits: 8.0 × 20 + 9.0 × 25 = 385.
  2. Total credits: 45.
  3. CGPA = 385 ÷ 45 = 8.56.

Why credits matter

UGC's model regulations and most Indian university rules compute CGPA from all courses, weighted by credits. Using semester totals gives the same answer: each SGPA is already a credit-weighted average, so weighting it by the semester's credits rebuilds the overall average.

Once you have a CGPA, the CGPA to percentage calculator has each university's official formula. For a single semester from subject grades, use the GPA calculator with grade points.

Sources

What this calculator does not account for

  • Courses your university leaves out of CGPA, such as failed or audit courses.
  • Grace marks or improvement attempts.

How this is calculated

Formula: Credit-weighted mean

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

What the symbols mean

  • SGPASemester grade point average on a 10-point scale.
  • semester creditsTotal credits registered and earned in that semester.

Good to know

  • With equal credits each semester this is a plain average of the SGPAs.
  • Your grade card's CGPA wins if it differs; some universities count only passed courses.

Read the full methodologyFound an error? Contact us

Worked examples

Each example is worked out by the same code as the calculator above.

Two semesters

8.0 × 20 + 9.0 × 25 = 385 over 45 credits = 8.56.

Two years of B.Tech

7.5 × 22 + 8.2 × 22 + 8.8 × 24 + 9.1 × 24 = 775 over 92 credits = 8.42.

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Questions

How do I calculate CGPA from SGPA?

Multiply each SGPA by that semester's credits, add them, and divide by total credits. SGPAs 8.0 (20 credits) and 9.0 (25 credits) give (160 + 225) ÷ 45 = 8.56.

Is CGPA the average of SGPAs?

Only if every semester has the same credits. Otherwise heavier semesters count for more.

How do I turn CGPA into a percentage?

Use your university's own rule; the CGPA to percentage page lists 21 of them with sources.