GPA & CGPA Calculator

Calculate your semester SGPA, cumulative CGPA, and convert grades to percentages instantly.

Semester GPA (SGPA) is calculated by dividing the total grade points earned by the total credits of all courses in the semester.
Course / Subject (Optional) Credits Grade

Complete Guide to SGPA, CGPA & Percentage Calculation

Understanding your academic scores is key when planning higher studies or applying for employment. Academic grading structures vary across schools, state boards, and technical universities. Most Indian colleges report grades in **Semester Grade Point Average (SGPA)** and **Cumulative Grade Point Average (CGPA)**, while job applications and entrance boards ask for raw **percentages**.

What is SGPA?

Semester Grade Point Average (SGPA) represents your academic performance over a single term or semester. It is a credit-weighted average, meaning that courses with higher credit points (such as core subjects and engineering labs) carry more weight in determining the final semester average: SGPA = Sum(Course Credits * Grade Points) / Total Credits.

What is CGPA?

Cumulative Grade Point Average (CGPA) is the aggregate average of your performance across all completed semesters. Rather than taking a simple average of SGPAs, the CGPA is calculated by dividing the sum of all semester grade points earned by the sum of all credits attempted across the entire course.

Standard 10-Point Grading System Reference Table

Most technical universities and central boards follow the standard UGC 10-point grading system. Below is a reference chart mapping grades to pointer values:

Letter Grade Grade Point Value Typical Score Range Performance Descriptor
O 10 90% - 100% Outstanding
A+ 9 80% - 89% Excellent
A 8 70% - 79% Very Good
B+ 7 60% - 69% Good
B 6 50% - 59% Above Average
C 5 45% - 49% Average
P 4 40% - 44% Pass
F 0 Below 40% Fail

Step-by-Step Calculation Guides

1. Semester SGPA Calculation: Multiply the grade point earned in each subject by the subject's credit hours. Sum up these products to find your "Semester Grade Points". Finally, divide this sum by the total semester credits:

SGPA = Sum(Subject Grade Point × Subject Credits) / Total Semester Credits

2. Cumulative CGPA Calculation: Multiply each semester's SGPA by the total credits of that semester. Add these values together and divide by the overall credits completed across all semesters:

CGPA = Sum(Semester SGPA × Semester Credits) / Sum(Total Credits of All Semesters)

3. Converting CGPA to Percentage: Under UGC and CBSE guidelines, multiply your CGPA by 9.5 to estimate overall percentage. This standard maps the grading descriptors accurately to standard board percent averages:

Percentage (%) = CGPA × 9.5

GPA & CGPA FAQs

Why is the CBSE and UGC percentage multiplier 9.5 instead of 10?

A perfect CGPA of 10.00 does not mathematically equate to 100% since pointer marks represent score brackets (e.g. 91-100 marks yield a 10.0 pointer). Statistical analysis of board records showed that multiplying grade points by 9.5 align closest with actual average marks obtained by students in that grade tier.

What is the difference between a simple average and a weighted average CGPA?

A simple average divides the sum of SGPAs by the number of semesters. This is only accurate if every semester carries the exact same number of credits. A weighted average (the official standard) aggregates points and credits, ensuring that semesters with more credits have a proportionally larger impact on your final cumulative standing.

How does a backlog subject impact my CGPA?

When you fail a subject, it is recorded as an F grade (0 grade points) but the subject credits are still added to your semester total. This lowers your SGPA and overall CGPA. Once you pass the backlog exam, the 0 point value is replaced with your new earned grade point, updating your cumulative average.

Are my marks and grade card entries stored on your servers?

No. All calculation operations are executed client-side in your browser using secure JavaScript. We do not store or transmit your grade information, assuring absolute data privacy.

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