SGPA to CGPA Calculator

Converting Semester SGPA to Cumulative CGPA

In university degree programs governed by the Choice Based Credit System (CBCS), students receive a Semester Grade Point Average (SGPA) at the end of each academic term. When applying for campus placements, postgraduate admissions, international student visas, or higher degree fellowships, you must report your aggregate Cumulative Grade Point Average (CGPA).

While many students mistakenly calculate an unweighted arithmetic average of their semester marks, standard academic regulations require weighting each semester by its total registered credits.

The Credit-Weighted Formula

Under UGC and AICTE regulations, the official formula for calculating CGPA from semester SGPAs is:

$$\text{CGPA} = \frac{\sum_{i=1}^{n} (\text{SGPA}i \times C_i)}{\sum{i=1}^{n} C_i}$$

Where:

• $\text{SGPA}_i$ is the Grade Point Average earned in semester $i$
• $C_i$ is the total credit count assigned to semester $i$
• $n$ is the total number of semesters completed to date
• $\sum C_i$ is the total cumulative credits registered across all terms

If all semesters happen to have identical credit counts (for example, exactly 20 credits every semester), the formula simplifies to a simple average:

$$\text{CGPA}{\text{equal credits}} = \frac{\sum{i=1}^{n} \text{SGPA}_i}{n}$$

Practical Worked Demonstration

Let us evaluate the cumulative progress of an engineering student who has completed four semesters with varying credit loads:

Semester	SGPA	Credits ($C_i$)	Credit Points ($\text{SGPA}_i \times C_i$)
Semester 1	8.00	20	160.0
Semester 2	8.60	22	189.2
Semester 3	7.80	24	187.2
Semester 4	8.40	18	151.2
Total	—	84	687.6

Now applying the credit-weighted calculation: $$\text{CGPA} = \frac{687.6}{84} \approx 8.1857 \to \mathbf{8.19}$$

By contrast, an unweighted average $(8.00 + 8.60 + 7.80 + 8.40) / 4 = 8.20$ would yield a slightly different outcome, which could create discrepancies on official documentation.

Converting Degree CGPA to Percentage

Once you have established your cumulative CGPA, external recruiters or entrance examinations may ask for an equivalent percentage score:

• For CBSE board rules or Class 10/12 conversions, consult how to calculate cgpa to percentage.
• If you have an aggregate percentage and need to convert back into grade points, use percentage to cgpa.
• If you only need to determine percentage marks for a single isolated term, see how to convert sgpa into percentage.

For private universities with distinct grading systems, use our vit cgpa calculator or srm cgpa calculator.