Percentage to CGPA Formula

Mathematics & Education Formula • Published on July 30, 2026 • Last updated July 30, 2026

Mathematical Equation

$$\text{CGPA} = \frac{\text{Percentage (\%)}}{9.5}$$

Variable Definitions

Percentage (%)

Total aggregate percentage marks scored

9.5

CBSE standard constant divisor factor

Detailed Explanation

In-Depth Guide

The Percentage to CGPA conversion formula converts overall percentage marks into an equivalent Cumulative Grade Point Average (CGPA) on a 10-point scale for CBSE, AICTE, VTU, DU, and international 4.0 GPA scales.

How to Calculate: Step-by-Step

1. Identify total percentage marks scored. 2. Divide percentage by 9.5 for CBSE / standard 10-point scale. 3. For AICTE / VTU B.Tech: CGPA = (Percentage / 10) + 0.75. 4. Output calculated CGPA score.

Worked Calculation Example

Convert 85.5% marks to CBSE 10-Point CGPA: - CGPA = 85.5 / 9.5 = 9.00 / 10 (First Class with Distinction).

Common Use Cases

  • CBSE 10th/12th mark conversions
  • Engineering transcript evaluations
  • International WES 4.0 GPA equivalency

Frequently Asked Questions

Divide 85.5 by 9.5 to get 9.00 CGPA.

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