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Percentage to CGPA Calculator

Percentage back to CGPA. The conversion is only reliable in reverse if you use the same rule that produced the percentage, and applying a different one produces a figure that will not match the transcript.

Also called: percentage to gpa, marks to cgpa.

CGPA
8.4

8.4 on a 10 point scale from 79.8%, using the CBSE 9.5 rule. The other rules give 8.4, 7.98, 8.73 and 7.98. Conversion rules are set by the institution and differ between them. Check your own handbook before quoting a converted figure.

By the 9.5 rule
8.4
By the 10 rule
7.98
By the 0.75 addition rule
8.73
Proportional to the scale
7.98
Rough US 4 point equivalent
3.3
Rule applied
the CBSE 9.5 rule
Other rules
8.4, 7.98, 8.73 and 7.98
On conventions
Conversion rules are set by the institution and differ between them. Check your own handbook before quoting a converted figure.
How this is calculated
Method and background

How this is calculated

Each rule inverts its forward counterpart. The trap is that a percentage on a transcript was produced by one specific rule, and inverting with a different one gives a CGPA that does not match what the institution would have issued. Converting to a US four point GPA is a further approximation on top, since American grading uses letter bands with their own cutoffs rather than a linear scale.

the inverse of the CBSE rule, which is only the right inverse if that rule produced the percentage
CGPA
Cumulative grade point average

Worked examples

Each of these is asserted on every build. If a change to the engine ever moved one of these answers, the build would fail before the page could print it.

79.8 percent back to CGPA

Percentage
79.8
Target scale
10
Conversion rule
Divide by 9.5, the CBSE rule

CGPA8.4

the exact inverse of 8.4 x 9.5

Open this example

the scale caps the result

Percentage
100
Target scale
10
Conversion rule
Divide by 9.5, the CBSE rule

CGPA10

boundary: 100/9.5 exceeds the scale and is capped

Open this example

Method and limits

What it assumes

  • A percentage produced by a comparable grading scheme.

What it deliberately does not model

  • Converting in both directions with different rules compounds the error.
  • A US four point GPA is banded rather than linear, so any single formula is an approximation.

Formula version 1.0.0 · definition 1.0.0 · India · Report a problem with this calculator

Frequently asked questions

Can I convert my percentage to a US GPA?
Only approximately. US grading uses letter bands with institution-specific cutoffs, so a linear conversion is a rough guide and most universities apply their own evaluation anyway.