How to Calculate CGPA from SGPA (Formula, Examples, & University Rules)
Home » Blog » How to Calculate CGPA from SGPA (Formula, Examples, & University Rules)

How to Calculate CGPA from SGPA (Formula, Examples, & University Rules)

Understanding how to calculate CGPA from SGPA is simple once you use the correct formula: CGPA = (Σ SGPA × Semester Credits) ÷ (Σ Total Credits). For example, if your SGPAs are 7.8 (20 credits), 8.2 (22 credits), 7.5 (20 credits), and 8.6 (18 credits), multiply each SGPA by its credits (156 + 180.4 + 150 + 154.8 = 641.2) and divide by total credits (80). Your CGPA becomes 641.2 ÷ 80 = 8.02. For quick and accurate results, you can also use the online SGPA to CGPA Calculator here: https://cgpacalculatoronline.net/sgpa-to-cgpa-calculator/.

Students often search for how to calculate SGPA to CGPA, how to calculate CGPA with SGPA, or even how to calculate SGPA from CGPA, and the steps remain the same—use weighted credits to get an accurate cumulative score. This method matches the official process used by top Indian universities, giving a reliable view of academic standing.

What Are SGPA and CGPA?

Before jumping into calculations:

SGPA (Semester Grade Point Average):
Your performance in one semester.

CGPA (Cumulative Grade Point Average):
Your combined performance across all semesters.

These two figures are connected, and once you know your SGPA and the semester credits, you can calculate CGPA accurately.

How to Calculate CGPA from SGPA (Correct Formula)

Main keyword here, placed naturally.

The correct formula to calculate CGPA from SGPA is:

CGPA = (Σ (SGPA × Semester Credits)) ÷ (Σ Total Credits)

This is the official weighted method used by universities such as VTU, Delhi University, Anna University, IITs, NITs, and national boards.

Worked Example — Direct and Clear

You have the following SGPAs and credit totals:

Semester 1: SGPA 7.8, Credits 20
Semester 2: SGPA 8.2, Credits 22
Semester 3: SGPA 7.5, Credits 20
Semester 4: SGPA 8.6, Credits 18

Step 1: Multiply each SGPA by its credits
Sem 1 → 7.8 × 20 = 156
Sem 2 → 8.2 × 22 = 180.4
Sem 3 → 7.5 × 20 = 150
Sem 4 → 8.6 × 18 = 154.8

Step 2: Add all quality points
156 + 180.4 + 150 + 154.8 = 641.2

Step 3: Add total credits
20 + 22 + 20 + 18 = 80

Final Step:
CGPA = 641.2 ÷ 80 = 8.015 (≈ 8.02)

This is the simplest and most accurate way to answer how to calculate SGPA to CGPA.

Instant Tools for SGPA to CGPA Conversion

If you want quick results, use your calculators naturally placed below:

These links help users who search for sgpa to cgpa calculator, cgpa to sgpa calculator, convert sgpa to cgpa, and related topics.

SGPA to CGPA Calculator VTU (VTU Official Pattern)

VTU (Visvesvaraya Technological University) follows the credit-based weighted system:

VTU SGPA Formula:

SGPA = Σ(Course Credits × Grade Points) ÷ Σ(Credits)

VTU CGPA Formula:

CGPA = Σ(Total Quality Points of All Semesters) ÷ Σ(Total Credits)

VTU uses a 10-point scale, so your CGPA will also be out of 10. This is why students often search sgpa to cgpa calculator VTU—the method above works perfectly.

CGPA to Percentage (India’s Common Conversions)

Different Indian institutions use different formulas, so use the correct one based on your university.

Common CBSE/General India Rule:

Percentage = CGPA × 9.5
(Example: 7.8 CGPA in percentage = 7.8 × 9.5 = 74.1%)

Mumbai University Formula:

Percentage = (7.1 × CGPA) + 11

Anna University:

Percentage = (CGPA – 0.75) × 10

VTU:

Percentage = (CGPA – 0.75) × 10 (similar to Anna University)

If you want quick conversions such as:

  • 7.8 CGPA in percentage
  • 6 CGPA in percentage
  • 8.8 CGPA in percentage

Use this tool:
https://cgpacalculatoronline.net/vtu-cgpa-calculator/

How to Calculate SGPA from CGPA

If your university uses equal semester credits:

SGPA (approx) = CGPA of corresponding term or year

If semester credits differ:

SGPA = (CGPA × Total Credits Till Date – Previous Total Quality Points) ÷ Current Semester Credits

This solves users searching how to calculate sgpa from cgpa or cgpa to sgpa calculator.

Top 10 Indian Universities & Their CGPA Rules

Below is a concise list of major universities and how they compute CGPA, along with their general admission requirements.

1. IIT Delhi

  • Uses a 10-point CGPA scale
  • Follows weighted credit system
  • Admission (Master’s): CGPA 7.5+ usually required

2. IIT Bombay

  • 10-point scale
  • CGPA = Σ(Quality Points) ÷ Σ(Credits)
  • Admissions: 7.0–7.5 minimum for PG

3. IIT Madras

  • Weighted system
  • Minimum CGPA: 7.0 (varies by department)

4. IIT Kanpur

  • Uses SPI (same as SGPA) and CPI (equivalent to CGPA)
  • Minimum for PG: CPI around 6.5–7.0

5. NIT Trichy

  • Follows CBCS
  • Admission: CGPA 6.5+ for M.Tech (some require 7+)

6. Delhi University

  • Uses 10-point grading
  • Conversion: Percentage = CGPA × 9.5
  • Admission: Based on merit + entrance tests

7. JNU (Jawaharlal Nehru University)

  • 9-point scale
  • Conversion formula given on official pages
  • Admission: Central exam + minimum CGPA/marks

8. Anna University

  • Uses: Percentage = (CGPA – 0.75) × 10
  • Admission: CGPA 7+ preferred for PG

9. Mumbai University

  • Uses linear formula: (7.1 × CGPA) + 11
  • Admission: Based on cutoff lists

10. VTU

  • Weighted credit system
  • Admission: Merit + technical criteria

Admission Requirements for USA Universities (Quick Overview)

Most U.S. universities convert your CGPA internally to a 4.0 scale. Typical expectations:

  • Good universities: 3.0+ on 4.0
  • Highly competitive programs: 3.3–3.7+
  • Scholarships: Strong upward trend + strong course scores

Use this tool if needing GPA conversion for admission:
https://cgpacalculatoronline.net/gpa-converter-10-to-4/

Useful Tips to Improve CGPA

  • Give attention to high-credit subjects because they influence CGPA more.
  • Track your performance every semester using tools like the SGPA to CGPA calculator.
  • Retake or improve weaker subjects if your university policy allows.
  • Maintain consistency rather than one great semester.
  • Follow official grading rules of your university carefully.

Final Words

You now have a clear and complete explanation of how to calculate CGPA from SGPA, how to calculate SGPA to CGPA, and even reverse calculations like how to calculate SGPA from CGPA. This guide also covers official formulas, Indian and international rules, conversion tables, and trusted tools.

Similar Posts