CGPA to Percentage Calculator
- CBSE rule (x 9.5)
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- AICTE rule
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- Straight x 10
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Checked against: CGPA 8.4: CBSE rule 79.80%, AICTE rule 76.50%, x10 rule 84.00% Last reviewed:
Sources and method
- Central Board of Secondary Education (CBSE)
- Formula devised to calculate marks of CBSE students - Deccan Herald
- All India Council for Technical Education (AICTE)
- Academic grading in India - Wikipedia
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There is no single CGPA-to-percentage formula: it depends on who issued the grade. CBSE uses CGPA × 9.5 (8.4 → 79.8%). Many AICTE-approved engineering programmes use (CGPA − 0.75) × 10 (8.4 → 76.5%). Some universities simply multiply by 10.
Pick the rule your board or university applies, enter your CGPA, and the calculator gives the percentage — along with the figure under the other common rules, so you can see how much the choice matters. Switch tabs to go from a percentage back to CGPA. If your university publishes its own formula, choose “My university” and enter it.
The common conversion rules
CBSE: CGPA × 9.5
The Central Board of Secondary Education issued Class 10 results as grades and a CGPA under its continuous and comprehensive evaluation scheme, and told students to multiply the CGPA by 9.5 for an indicative percentage. The 9.5 comes from CBSE’s own result data: students in the top band (91–100 marks, grade point 10) averaged close to 95, and 95 ÷ 10 = 9.5. The same multiplier applies to an individual subject’s grade point.
AICTE guidance: (CGPA − 0.75) × 10
Many universities and autonomous colleges running AICTE-approved engineering, technology and management programmes publish this formula in their regulations, citing AICTE. It produces a lower figure than × 10 at every CGPA. Some universities apply it only to particular regulation years, so check the scheme your marksheet belongs to.
Straight multiplication: CGPA × 10
Some universities state the percentage equivalent as ten times the CGPA. Use this only where your institution says so; it is not a default.
Your university’s own formula
Plenty of universities publish a linear rule of the form percentage = a × CGPA + b. Published versions for the same university sometimes differ between sources — for example, figures of both 7.1 × CGPA + 11 and 7.25 × CGPA + 11 circulate for the University of Mumbai. Take the numbers from the official circular for your scheme and year, not from a third-party website (including this one).
Worked examples
A CBSE Class 10 result
A CGPA of 9.2 × 9.5 = 87.4%. A subject grade of A2 (grade point 9) × 9.5 = 85.5% for that subject.
An engineering degree under the AICTE rule
A final CGPA of 7.8: (7.8 − 0.75) × 10 = 70.5%. Under a straight × 10 rule the same CGPA would read 78%, a gap of 7.5 points that can decide whether you clear a 75% eligibility cut-off.
Going from a percentage requirement to CGPA
A job asks for 60% throughout. Under the AICTE rule that needs a CGPA of 60 ÷ 10 + 0.75 = 6.75; under the CBSE rule, 60 ÷ 9.5 = 6.32.
CGPA to percentage table
| CGPA | CBSE (× 9.5) | AICTE ((CGPA − 0.75) × 10) | Straight (× 10) |
|---|---|---|---|
| 10.00 | 95.00% | 92.50% | 100.00% |
| 9.75 | 92.63% | 90.00% | 97.50% |
| 9.50 | 90.25% | 87.50% | 95.00% |
| 9.25 | 87.88% | 85.00% | 92.50% |
| 9.00 | 85.50% | 82.50% | 90.00% |
| 8.75 | 83.13% | 80.00% | 87.50% |
| 8.50 | 80.75% | 77.50% | 85.00% |
| 8.25 | 78.38% | 75.00% | 82.50% |
| 8.00 | 76.00% | 72.50% | 80.00% |
| 7.75 | 73.63% | 70.00% | 77.50% |
| 7.50 | 71.25% | 67.50% | 75.00% |
| 7.25 | 68.88% | 65.00% | 72.50% |
| 7.00 | 66.50% | 62.50% | 70.00% |
| 6.75 | 64.13% | 60.00% | 67.50% |
| 6.50 | 61.75% | 57.50% | 65.00% |
| 6.25 | 59.38% | 55.00% | 62.50% |
| 6.00 | 57.00% | 52.50% | 60.00% |
| 5.75 | 54.63% | 50.00% | 57.50% |
| 5.50 | 52.25% | 47.50% | 55.00% |
| 5.25 | 49.88% | 45.00% | 52.50% |
| 5.00 | 47.50% | 42.50% | 50.00% |
Percentage to CGPA table
| Percentage | CBSE rule | AICTE rule | Straight rule |
|---|---|---|---|
| 95% | 10.00 | 10.25 | 9.50 |
| 90% | 9.47 | 9.75 | 9.00 |
| 85% | 8.95 | 9.25 | 8.50 |
| 80% | 8.42 | 8.75 | 8.00 |
| 75% | 7.89 | 8.25 | 7.50 |
| 70% | 7.37 | 7.75 | 7.00 |
| 65% | 6.84 | 7.25 | 6.50 |
| 60% | 6.32 | 6.75 | 6.00 |
| 55% | 5.79 | 6.25 | 5.50 |
| 50% | 5.26 | 5.75 | 5.00 |
Why the rules disagree
A CGPA compresses marks into grade bands, and each band covers a range of marks. Converting back to a percentage means guessing where in each band a student’s marks fell. CBSE answered that with its own result data. AICTE-style rules subtract 0.75 to correct for the fact that a straight × 10 overstates marks at most grade points. Other universities fit their own line to their own results. None of them is “the” correct conversion — each is correct only for the grades it was designed for.
That is also why a conversion certificate from your institution carries more weight than any calculator, this one included, when an employer or a university abroad asks for a percentage.
How a CGPA is built
A semester’s SGPA is the credit-weighted average of the grade points for each course: multiply each course’s grade point by its credits, add them up, and divide by the total credits. The CGPA does the same across every semester. It is a weighted average, just with grade points and credits in place of scores and percentages.
Common mistakes
- Using the CBSE rule for a university degree. The 9.5 multiplier was derived from CBSE Class 10 data.
- Converting each SGPA and averaging the percentages. Convert the final CGPA once.
- Rounding the CGPA before converting. Use the CGPA exactly as printed, to two decimal places.
- Quoting a percentage without saying how you got it. On forms, write the formula used alongside the figure.
If you have marks rather than grades, the marks percentage calculator works it out directly. Students tracking eligibility for exams may also need the attendance calculator.
Frequently asked questions
How do I convert CGPA to percentage?
Use the formula your board or university publishes. For CBSE, multiply the CGPA by 9.5: a CGPA of 8.4 is 79.8%. Many engineering universities following AICTE guidance use (CGPA − 0.75) × 10, which gives 76.5% for the same CGPA. Others simply multiply by 10.
Why does CBSE multiply by 9.5?
CBSE looked at several years of results and found that students in the top grade band (91 to 100 marks, grade point 10) averaged about 95 marks. Dividing 95 by 10 gave the 9.5 multiplier. The resulting percentage is indicative, not an exact mark.
What is 8 CGPA in percentage?
It depends on the rule. Under the CBSE rule it is 76%. Under the AICTE rule it is 72.5%. Under a straight × 10 rule it is 80%.
How do I convert percentage to CGPA?
Reverse the same formula. Under the CBSE rule, CGPA = percentage ÷ 9.5, so 85% is 8.95. Under the AICTE rule, CGPA = percentage ÷ 10 + 0.75, so 85% is 9.25.
Which formula should I use for a job or admission application?
The one printed on your marksheet, transcript or your university’s official circular. If none is published, ask the examination section for a conversion certificate. Employers and universities abroad often accept that certificate and nothing else.
How do I convert a CGPA on a 4-point scale to a percentage?
There is no single accepted formula. A proportional conversion (CGPA ÷ 4 × 100) is a rough guide, but US-style 4.0 scales are not linear with percentages. For applications abroad, credential evaluators such as WES make their own assessment from your marks.
What is the difference between SGPA and CGPA?
SGPA is the grade point average for one semester. CGPA is the credit-weighted average across all semesters completed so far. Conversion formulas are applied to the CGPA, not to individual SGPAs.