CGPA to Percentage Formula: CBSE, VTU, Anna University, IITs

There is no single formula for converting CGPA to percentage. For CBSE, multiply your CGPA by 9.5, so a CGPA of 8.4 is about 79.8%. Universities set their own rules, and the same CGPA can mean anything from about 75% to 84% depending on where you studied.

Always use the formula your own board or university publishes, because that is what employers, admission offices and visa agencies will accept. Below are formulas we checked on official websites, and what to do when there is none.

Why the formulas differ

A CGPA (cumulative grade point average) is an average of grade points, not marks. Each grade covers a band of marks; on a 10-point scale, a grade point of 9 might stand for anything from 80% to 89%. Converting back to a percentage is therefore an estimate, and each institution chooses the estimate that best matches its own grading. That is why some multiply by 10, some by 9.5, and some subtract a constant first.

Official formulas we verified

The last column shows how much the answer depends on the formula: the same 8.4 ranges from 74.8% to 84.0%.

CBSE: CGPA × 9.5

CBSE’s grading documents give an “indicative” equivalence: subject-wise percentage = 9.5 × the subject’s grade point, and overall percentage = 9.5 × CGPA. The CGPA averages the grade points of the main subjects, leaving out the additional sixth subject.

CGPA appeared on CBSE Class 10 results during the Continuous and Comprehensive Evaluation (CCE) years. CBSE restored annual board exams for Class 10 from the 2017–18 session, so recent CBSE results show marks, and you do not need to convert anything. The 9.5 rule matters mainly for certificates from about 2010 to 2017.

To go the other way, divide: 85% ÷ 9.5 = a CGPA of about 8.9.

VTU: subtract 0.75, then multiply by 10

VTU’s page gives (CGPA − 0.75) × 10 as the standard formula for its 2015, 2017 and 2018 schemes. Its regulations use the same rule; for example, a CGPA of 8.20 becomes 74.5%. VTU’s newer regulations for some programmes describe a different rule for linear grading schemes (CGPA × 10), so check the regulation for your scheme year.

Anna University: CGPA × 10

Anna University’s regulations state percentage of marks = CGPA × 10 for its B.E./B.Tech. programmes, and the same formula appears in its postgraduate regulations.

JNTU Hyderabad: subtract 0.5, then multiply by 10

JNTUH regulations (for example its R22 and R25 programmes) give % of marks = (final CGPA − 0.5) × 10. A final CGPA of 7.5 becomes 70%.

Savitribai Phule Pune University (SPPU): depends on the pattern

SPPU’s exam section has published a note giving percentage = CGPA × 8.9, with class bands such as First Class with Distinction from a CGPA of 7.42. Some newer SPPU programmes under the 2024 NEP pattern use a banded table with a different formula for each CGPA range. Check the rules for your own pattern and year on the SPPU website or your marksheet.

IITs: often “not convertible”

Many IITs grade on a 10-point scale without an official marks equivalent. IIT Madras says a notional percentage can be obtained as CGPA × 10. IIT Mandi’s certificate format states that its grade points are not convertible into percentage, but that CGPA × 10 may be used notionally. If an application insists on a percentage, ask your institute’s academic section for a signed certificate.

Universities where we could not verify a formula

Formulas for several large universities circulate widely online but could not be confirmed on the university’s own website when we checked. University of Mumbai is a good example: different websites quote different equations, some depending on the faculty and the year of the scheme. If you studied there, look for the conversion printed on your grade card or transcript, or ask the examination section.

The same applies to any institution not listed above. Do not borrow another university’s formula: VTU’s rule applied to an Anna University CGPA would understate your percentage by 7.5 points.

What to do when no official formula exists

1. Check your transcript or grade card. Many universities print the conversion rule on the back.
2. Search your university’s regulations or ordinances for “percentage”, “equivalent” or “conversion”.
3. Ask for a conversion certificate from the examination or academic section. An official letter carries far more weight than a figure you worked out yourself.
4. Read the application instructions. Some employers and exams specify their own formula, often CGPA × 10 or CGPA × 9.5, and want you to apply it regardless of your university.
5. State the formula you used whenever you write a converted percentage, e.g. “79.8% (CGPA 8.4 × 9.5, per CBSE)”.

Worked example: one CGPA, several answers

Priya has a CGPA of 7.8 and is filling in a job application that asks for a percentage.

• If she studied under VTU’s 2018 scheme: (7.8 − 0.75) × 10 = 70.5%
• At Anna University: 7.8 × 10 = 78.0%
• At JNTUH: (7.8 − 0.5) × 10 = 73.0%
• With the CBSE multiplier: 7.8 × 9.5 = 74.1%

She should use her own university’s formula and write it next to the result. You can check any of these sums with the percentage calculator, or work out your CGPA from semester results with the CGPA calculator.

CGPA vs GPA

Indian institutions usually use a 10-point CGPA. US colleges use a 4.0 GPA. They are different scales, and there is no exact conversion between them; foreign credential evaluators each use their own method. Our guide on how to calculate GPA explains the 4.0 system, and the GPA calculator handles credit-weighted averages.

FAQ

How do I convert CGPA to percentage for CBSE?

Multiply by 9.5. A CGPA of 9.0 is 85.5%, and a CGPA of 10 is 95%. CBSE describes this as an indicative equivalence, not an exact mark.

Is CGPA × 10 the correct formula?

Only where your institution says so, as Anna University and IIT Madras do. Many universities use a different rule, so check your own regulations first.

How do I convert percentage to CGPA?

Reverse your institution’s formula. For CBSE, divide the percentage by 9.5. For VTU’s formula, divide by 10 and add 0.75. For JNTUH, divide by 10 and add 0.5.

What if my university has no official conversion?

Ask the examination section for a certificate, and follow any formula given in the application instructions. Write the formula next to the percentage so the reader knows how you got it.