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CGPA to GPA converter: 10-point to 4.0, percentage and marks

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Enter your CGPA and its scale, and the converter gives the equivalent GPA on a 4.0 scale (or any other), your percentage and, if you add a total, your marks out of 500, 600 or any number. By straight proportion, a 7.5 CGPA out of 10 is a 3.0 GPA out of 4 and 75%. For CBSE marks, choose CBSE (× 9.5): a 9.6 CGPA becomes 91.2%, or 456 out of 500. Every result shows its working, so you can check it or use your own university's formula instead.

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Key takeaways

  • CGPA to a 4.0 GPA by proportion: CGPA ÷ 10 × 4. So 7.5 becomes 3.0 and 9.0 becomes 3.6.
  • CBSE's indicative percentage is CGPA × 9.5, so 9.6 becomes 91.2%.
  • Marks out of a total are the percentage of that total: 91.2% of 500 is 456.
  • There's no universal conversion. Use the one the university or employer asks for.

How to convert a CGPA to a GPA out of 4

The simplest conversion keeps your score in the same proportion of the maximum:

GPA out of 4=CGPA10×4\text{GPA out of 4} = \frac{\text{CGPA}}{10} \times 4

Example: a CGPA of 7.5 out of 10 is 7.5÷10×4=3.07.5 \div 10 \times 4 = 3.0 out of 4.

CGPA (out of 10)GPA (out of 4)Percentage
10.04.00100%
9.53.8095%
9.03.6090%
8.53.4085%
8.03.2080%
7.53.0075%
7.02.8070%
6.52.6065%
6.02.4060%

The table uses straight proportion throughout. The same formula works for any pair of scales: change 10 to your scale and 4 to the one you need. A CGPA out of 5 converts with CGPA÷5×4\text{CGPA} \div 5 \times 4.

Why a converted GPA is only an estimate

Grading scales aren't just stretched copies of each other. On many 10-point scales a top grade is rarer than an A is on a US 4.0 scale, so a straight proportion can understate a strong CGPA, and a fixed table can overstate a weak one. That's why universities and credential evaluation services often use their own tables, and some convert each course grade rather than your overall CGPA.

So use the converter to understand where you stand, and when an application asks for a converted GPA, follow its instructions: some ask for the CGPA exactly as printed with its scale, some ask for an official evaluation, and some give their own conversion table. What a CGPA means as a class or division (first class, distinction and so on) is also set by each university, so check your own regulations for that.

CGPA to percentage: three common formulas

  • Straight proportion: CGPA÷scale×100\text{CGPA} \div \text{scale} \times 100. A 7.5 out of 10 is 75%.
  • CBSE (× 9.5): CBSE gave students a formula for an indicative percentage from the grade points on their CGPA marksheets: multiply by 9.5. A 9.6 CGPA is 9.6×9.5=91.2%9.6 \times 9.5 = 91.2\%. It's an approximation, not an exact mark.
  • Your university's formula: many universities print one in their regulations or on the transcript, often a multiplier after subtracting a constant, such as (CGPA−0.75)×10(\text{CGPA} - 0.75) \times 10. Choose My university's formula and enter both numbers: 8.0 with that formula gives 72.5%.

If a form asks for a percentage and your institution has an official formula, use that one: it's the figure that matches your transcript.

CGPA to marks out of 500 or 600

To turn a CGPA into marks, first find the percentage, then take that percentage of the total:

marks=percentage100×total marks\text{marks} = \frac{\text{percentage}}{100} \times \text{total marks}

Example (CBSE, out of 500): 9.6 × 9.5 = 91.2%, and 91.2% of 500 is 0.912×500=4560.912 \times 500 = 456.

Example (CBSE, out of 600): 9.2 × 9.5 = 87.4%, and 87.4% of 600 is 0.874×600=524.40.874 \times 600 = 524.4, about 524 marks.

By straight proportion instead, 9.6 out of 10 is 96%, which is 480 out of 500. The two answers differ by 24 marks, which is why it matters which formula a form expects. Enter the total in Total marks and the converter does both steps.

Converting a GPA back to a CGPA out of 10

The same proportion works in reverse. Set Out of to 4 and Convert to a scale out of to 10: a GPA of 3.2 out of 4 becomes 3.2÷4×10=8.03.2 \div 4 \times 10 = 8.0 out of 10. Again, this is an estimate. If you need an official equivalent, ask the institution that will receive it.

If you haven't worked out your CGPA yet, use the CGPA calculator first: it averages your semester GPAs weighted by credit hours. For a US high school GPA with honors and AP weighting, use the GPA calculator.

CGPA, GPA and SGPA

  • GPA: a grade point average, for any set of courses.
  • SGPA: the grade point average for one semester.
  • CGPA: the cumulative grade point average across all semesters so far, weighted by credit hours.

A "CGPA to GPA" conversion usually means changing the scale (10 to 4), not the kind of average: your cumulative average stays cumulative. To see a percentage from any score, the percentage calculator works too.

Frequently asked questions

What is a 7.5 CGPA in GPA out of 4?

3.0 by straight proportion: 7.5 ÷ 10 × 4 = 3.0. A university or evaluation service may use its own table and give a slightly different figure.

What is a 9.6 CGPA in marks out of 500?

456 marks with CBSE's formula (9.6 × 9.5 = 91.2%, and 91.2% of 500 is 456), or 480 marks by straight proportion (96% of 500).

How do I calculate a CGPA out of 4?

Divide your CGPA by its scale and multiply by 4. A CGPA of 8.0 out of 10 is 8.0 ÷ 10 × 4 = 3.2 out of 4.

Is CGPA the same as GPA?

A CGPA is a kind of GPA: the cumulative one, across all your semesters. Converting a CGPA to a GPA usually means changing the scale, such as from 10 points to 4.

Which formula should I use for a job or university application?

The one the application asks for. If it doesn't say, give your CGPA exactly as printed with its scale (for example 8.2 out of 10), and add the official conversion if your institution provides one.

Is anything I type sent to a server?

No. Everything runs in your browser, and nothing you type is sent to TutorAura.

Sources

  1. 'Formula' devised to calculate marks of CBSE students. Deccan Herald, 2010.