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Percentage to SGPA calculator

Formula (Percentage ÷ 10) + 0.75 (76.50 ÷ 10) + 0.75 = 8.40

Not verified. This formula has not been checked against General (10-point)’s own ordinance, so no source or date is shown. Confirm it against your examination manual before putting the figure on a form.

Every formula here is labelled either verified against an issuing document, or not verified. A verified badge is never shown without a real citation.

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Recovering one semester from its percentage

This runs your university’s SGPA-to-percentage formula backwards. If the forward rule is (SGPA − 0.75) × 10, the inverse is (percentage ÷ 10) + 0.75, so 76.50% comes back as 8.40. The arithmetic is exact. What it recovers is an estimate of the grade point your college would have printed, not the grade point itself.

The distinction matters because the forward formula is a convention applied to an already-computed SGPA, not a measurement of it. Your college calculates SGPA from subject grade points and credits, and only then converts it for anyone who asks for a percentage. Running that conversion backwards recovers the input to a convention, which lands close to the truth but carries whatever rounding the forward step introduced.

Some formulas cannot express every percentage. Under Mumbai University’s (SGPA × 7.1) + 11, a 10-point scale tops out at 82.00%, so a 90% input has no valid SGPA behind it at all. This calculator refuses that case and names the ceiling rather than returning a number above 10, which no examination section would recognise.

The legitimate uses are narrow and real: a form that demands grade points when your college publishes percentages, an application that needs a semester figure you no longer have the grade card for, or a quick check that a percentage you have been given is plausible. Where the receiving body will take the transcript with the grading key printed on it, send that instead.

For the whole degree rather than one semester, percentage to CGPA does the same job cumulatively. Going the other way, SGPA to percentage is the forward conversion.

Percentage back to SGPA under two formulas

Percentage(% ÷ 10) + 0.75Anna: % ÷ 10
55.00%6.255.50
60.00%6.756.00
65.00%7.256.50
70.00%7.757.00
75.00%8.257.50
80.00%8.758.00
85.00%9.258.50
92.50%10.009.25

Three mistakes to avoid

01
Reversing a formula your university never applied The inverse is only as good as the forward rule. Take the rule from your own ordinance.
02
Confusing the recovered SGPA with a CGPA SGPA covers one semester. CGPA is the credit-weighted average across all of them.
03
Reporting a recovered figure as certified Your grade card is the record. Describe a back-calculated SGPA as an estimate.

Frequently asked

How do I convert percentage to SGPA?
Apply the inverse of your university’s forward formula. On the general 10-point convention that is (percentage ÷ 10) + 0.75, so 76.50% returns 8.40.
Why does 90% return an error on some formulas?
Because those formulas cannot express it. Under Mumbai University’s rule the highest percentage a 10-point SGPA can produce is 82.00%, so there is nothing valid to return.
Is the recovered SGPA exact?
The arithmetic is exact; the result is still an estimate, because the forward formula is a convention applied after your SGPA was computed from subjects and credits.
What is the difference between this and percentage to CGPA?
Only the period covered. SGPA is one semester, CGPA is every semester completed so far, and the formula is usually the same.
Can I put this on an application?
Only where a self-computed figure is acceptable. If an official number is required, use the grade card.

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Last updated 6 August 2026 · reviewed by Ajay Sukhadeve