Percentage to CGPA Calculator
Your percentage and your board's factor, with the working shown.
The calculator never sends or saves what you type.
The other way round: CGPA to percentage. Working from marks? Your marks percentage or the marks you need. Averaging semester SGPAs? SGPA to CGPA.
On this page
The percentage to CGPA formula
CGPA = percentage ÷ conversion factor
One division, and all of the difficulty is in the factor: there is no national standard, so the same percentage becomes a different grade point depending on who is reading it. 85% is a CGPA of 8.95 at ÷ 9.5 and 8.5 at ÷ 10 — the same marks, nearly half a grade point apart.
That is why the calculator names the rule inside its answer instead of printing a bare number, and why the factor is a field you can see and change rather than a hidden constant.
Percentage to CGPA table
The two rules the tool ships, read side by side. The left column is what your marksheet says; the other two are what it converts to.
| Percentage | ÷ 9.5 (CBSE) | ÷ 10 |
|---|---|---|
| 35% | 3.68 | 3.5 |
| 40% | 4.21 | 4 |
| 45% | 4.74 | 4.5 |
| 50% | 5.26 | 5 |
| 55% | 5.79 | 5.5 |
| 60% | 6.32 | 6 |
| 65% | 6.84 | 6.5 |
| 70% | 7.37 | 7 |
| 75% | 7.89 | 7.5 |
| 80% | 8.42 | 8 |
| 85% | 8.95 | 8.5 |
| 90% | 9.47 | 9 |
| 95% | 10 | 9.5 |
| 100% | 10.53(off the scale) | 10 |
Between the rows, divide: 90% is 90 ÷ 9.5 = 9.47, or 9 at ÷ 10. Note where CBSE's rule stops — 95% is already a perfect 10, so everything above it converts to more than the scale holds.
Which factor should you divide by?
CBSE published 9.5 with its class-10 CCE grading scheme in 2010 and called it an indicative conversion; it is the factor most people mean when they say "convert to CGPA". Many universities running the credit system use 10, which makes the percentage the CGPA with the decimal point moved. Your marksheet, your university's conversion circular or the examination office decides between them — not a calculator's default.
The factor field takes anything from 1 to 10, which covers every published rule. Below 1 the division stops producing grade points at all — at ÷ 0.5 a bare pass of 50% comes out as a CGPA of 100 — so the calculator declines rather than printing one.
Some institutions do not use a single factor. VTU's older schemes subtract before scaling, Savitribai Phule Pune University's circular defines a band table rather than a multiplier, and Mumbai issued a fresh circular in 2026 — none of which a single division can undo. The universities that do not use a single factor section sets out why this site does not ship guesses at those rules in either direction.
When the answer comes out above 10
A CBSE marksheet reading 96% converts to 96 ÷ 9.5 = 10.11, which is more than a 10-point scale can hold. That is not a fault in the arithmetic: 9.5 is a conversion factor, not a scale, and its ceiling is 10 × 9.5 = 95%. Every percentage above 95 divides to something over 10, because the rule has nothing left above a perfect grade point.
The calculator answers anyway, and says which side of the ceiling you are on. Refusing would be worse than useless here — a real marksheet produced the number — so read a result above 10 as a full 10, or as a sign that your institution converts at something other than 9.5. Under a ÷ 10 rule there is no early ceiling: 96% is a CGPA of 9.6, and only a perfect 100% reaches 10.
Why this direction is an estimate
The published rules run the other way. A board turns marks into grade points and rounds them, then averages the rounded points into a CGPA; the percentage is what comes out at the end. Dividing back cannot recover what the rounding removed, so the answer is an approximation of the grade point rather than a copy of it — which is why every sentence the calculator prints says "about".
The round trip makes it visible. 85 ÷ 9.5 = 8.947, so the tool shows 8.95; multiplying that back gives 8.95 × 9.5 = 85.025, not 85. A hundredth of a CGPA is 0.095 of a percentage point under this factor, so the gap is small — but the marksheet is the only place the exact grade point exists.
If you have the grade point instead
Going the other way is a multiplication, and the CGPA to percentage calculator does it with the same factors and the same working shown. It is also the direction your institution published, so it is the one to quote where a form asks for a percentage.
If what you have is marks out of a total rather than a percentage, start with the marks percentage calculator — marks obtained ÷ total marks × 100 — and bring the percentage back here.
Frequently asked questions
How do I convert percentage to CGPA?
Divide the percentage by the conversion factor your board or university publishes. CBSE published 9.5 for its class-10 grading scheme, so 85% ÷ 9.5 = 8.947, a CGPA of about 8.95. Many universities convert at 10 instead, which makes the same 85% a CGPA of 8.5. The factor is the institution’s to set, so check the marksheet or the examination office before writing the number on a form.
What is 70% in CGPA?
About 7.37 under CBSE’s factor: 70 ÷ 9.5 = 7.368. Under a ÷ 10 rule the same marks are a CGPA of 7.0. The two answers are more than a third of a grade point apart, which is why the factor has to come from your own institution rather than from a calculator’s default.
What is 85% in CGPA?
8.95 under CBSE’s 9.5 — 85 ÷ 9.5 = 8.947 — and 8.5 under a ÷ 10 rule. 85% is the figure this conversion is asked about most often, and it sits well inside the 10-point scale on either rule.
Can a percentage convert to a CGPA above 10?
Arithmetically yes, and it happens on real marksheets. Under CBSE’s 9.5 the scale runs out at 95%, because 10 × 9.5 = 95, so 96% divides to 96 ÷ 9.5 = 10.105 — a CGPA of 10.11 that a 10-point scale cannot hold. The calculator returns the figure and says so rather than refusing: read it as a full 10, or check whether your institution really converts at 9.5.
Which conversion factor should I use — 9.5 or 10?
Whichever your institution publishes; neither is a national standard. CBSE described 9.5 as an indicative conversion for its class-10 CCE scheme, and many universities on the credit system use 10, which makes the percentage the CGPA with the decimal point moved. If your marksheet, a university circular or the examination office gives a figure, that is the one to divide by — and some universities do not publish a single factor at all.
Why is a CGPA converted from a percentage only an estimate?
Because the published rules run the other way. A board turns marks into grade points, rounds them, and averages the rounded points into a CGPA; dividing the percentage back cannot recover what that rounding removed. The round trip shows it: 85 ÷ 9.5 = 8.947, and 8.95 × 9.5 = 85.025, not 85. Treat the result as an approximation of the grade point, not a record of it.
Will a college or employer accept a CGPA I worked out from my percentage?
Generally not as evidence. Admissions offices and employers want the figure the institution issued — the one printed on the marksheet, or on the conversion certificate an examination office will provide on request. A back-converted CGPA is fine for estimating a number a form demands, or for checking a figure you have been given, but the issuing institution’s own conversion is what counts.
How do I convert a percentage to SGPA?
It is the same division wherever the university converts with a single factor — SGPA is one semester’s grade-point average, CGPA the whole programme’s, and the conversion rule does not change between them. But several universities publish a subtract-then-scale rule or a grade-band table instead of a plain multiplier, and neither of those can be undone with one division. Check the circular that governs your programme before converting in either direction.