CGPA to Percentage Calculator

About this CGPA to Percentage Calculator

The CGPA to Percentage Calculator converts a cumulative grade point average into a percentage, and a percentage back into CGPA, using the conversion formula that the Higher Education Commission of Pakistan circulated to universities. It supports the 4.0 scale used by most Pakistani universities, the 5.0 scale and the 10-point scale with the CBSE multiplier, and it shows the exact formula behind every answer so that you can check it by hand.

Many application forms, scholarship portals and job advertisements ask for a percentage even though a university degree is graded in CGPA. Guessing the number or using a quick ratio can cost marks in a merit list, because the conversion is applied by the receiving organisation in a specific way. This calculator follows the published HEC formula and also converts in the other direction, so you can see which CGPA corresponds to a required percentage.

For related tasks, try GPA Calculator, Percentage Calculator or Average Calculator.

How the calculation works

The HEC method is not a single straight line. On the 4.0 scale, a CGPA of 3.63 or more uses (CGPA - 0.3) divided by 0.037, 3.25 or more uses (CGPA - 0.29) divided by 0.037, 2.88 or more uses (CGPA - 0.36) divided by 0.036, 2.5 or more uses (CGPA - 0.28) divided by 0.037, 1.8 or more uses (CGPA + 1.65) divided by 0.069, 1.0 or more uses (CGPA + 2.16) divided by 0.079, and anything lower uses CGPA divided by 0.0248. The 5.0 scale has its own set of numbers, and the reverse direction uses the matching formulas.

How to use it

1. Choose whether you are converting CGPA to percentage or percentage to CGPA, and pick the grading scale of your university.
2. Enter your CGPA, for example 3.5, or your percentage, for example 86.
3. Press Convert, read the result and the formula that was used, and confirm with your university if the figure is needed for an admission or a job form.

Practical example

A student with a CGPA of 3.5 out of 4.0 falls in the band from 3.25 to 3.63, so the formula is (3.5 - 0.29) divided by 0.037, which equals 86.76 percent. A plain ratio of 3.5 divided by 4 times 100 would give 87.5 percent, so the HEC result is slightly lower.

To find the CGPA that matches 75 percent on the 4.0 scale, the tool uses 2.88 plus (75 - 70) times 0.036, which gives a CGPA of 3.06. On the 5.0 scale the same 75 percent corresponds to 3.88 plus (75 - 70) times 0.036, which is 4.06.

Things to double-check

The HEC document is a recommended conversion, and some universities and employers apply their own scale. The result here is therefore an estimate for planning, not an official equivalence certificate. Enter your CGPA exactly as it appears on the transcript, with two decimal places, and do not round it before converting.

What CGPA and percentage mean

A grade point average, or GPA, summarises one semester by turning each course grade into points and weighting them by credit hours. The cumulative grade point average, or CGPA, does the same for all semesters. For a course with 3 credit hours and 3.5 grade points, the course contributes 10.5 quality points, and the CGPA is the sum of quality points divided by the sum of credit hours. A percentage, in contrast, is a share of total marks. Because the two systems measure performance differently, a conversion needs a rule, and in Pakistan the rule that universities refer to most often is the formula that HEC published.

The HEC conversion formula

A conversion document dated 30 November 2018, circulated by HEC and hosted by universities on their sites, lists the formula in bands. On the 4.0 scale the bands begin at a CGPA of 3.63, 3.25, 2.88, 2.5, 1.8 and 1.0, and they correspond to percentages of 90, 80, 70, 60, 50 and 40. Each band has its own subtraction and divisor. The 5.0 scale follows the same idea with bands beginning at 4.63, 4.25, 3.88, 3.5, 2.8 and 2.0. The calculator hard-codes these numbers, so you do not have to look up the band yourself.

Why the formula has bands

A straight line would assume that one grade point is always worth the same number of percentage points, but grading policies are not that regular, and the same step in grade points can cover a different number of marks in different parts of the range. The HEC formula therefore uses different slopes: a slope of about 0.037 grade points per percentage point at the top, 0.036 around 70 percent, and a steeper 0.069 and 0.079 near the pass marks. The bands are joined so that the result is continuous, which means there are no sudden jumps at the boundaries.

Worked example: CGPA to percentage

Suppose that your CGPA is 3.5 on the 4.0 scale. It lies between 3.25 and 3.63, so the formula is (CGPA - 0.29) divided by 0.037. Subtract 0.29 from 3.5 to get 3.21, then divide by 0.037. The result is 86.76 percent. Now take a CGPA of 2.0. It lies between 1.8 and 2.5, so the formula is (CGPA + 1.65) divided by 0.069, which is 3.65 divided by 0.069, or 52.90 percent. The calculator performs the same steps instantly and prints the formula so that you can show your working.

Worked example: percentage to CGPA

To go from a percentage to CGPA, use the reverse formula of the band that contains your percentage. For 75 percent on the 4.0 scale, the band starts at 70 percent with a CGPA of 2.88 and a slope of 0.036, so the CGPA is 2.88 plus 5 times 0.036, which is 3.06. For 60 percent the CGPA is exactly 2.5, and for 80 percent it is 3.25. On the 5.0 scale the numbers are higher by one grade point from the 2.0 mark upward, so 80 percent corresponds to 4.25. The reverse calculation is useful when a programme requires a minimum percentage and you want to know the matching CGPA.

Quick reference values

On the 4.0 scale, the HEC formula gives these approximate percentages: a CGPA of 4.0 is 100 percent, 3.9 is 97.30, 3.8 is 94.59, 3.7 is 91.89, 3.6 is 89.46, 3.5 is 86.76, 3.4 is 84.05, 3.3 is 81.35, 3.2 is 78.89, 3.0 is 73.33, 2.8 is 68.11, 2.5 is 60, 2.0 is 52.90, 1.5 is 46.33 and 1.0 is 40 percent. Use the tool for values between these points. Remember that the numbers are rounded to two decimal places, and that the result is only as accurate as the CGPA that you entered.

4.0 scale and 5.0 scale

Most Pakistani public and private universities report a CGPA out of 4.0, but a few institutions and some older systems use a 5.0 scale. The HEC document gives separate formulas for each. The percentages that correspond to the band edges are the same, for example 90 percent corresponds to 3.63 on the 4.0 scale and 4.63 on the 5.0 scale, but the grade points are shifted. Choosing the wrong scale produces a large error, so read the maximum grade point on your transcript before you convert.

Why not simply divide by 4?

Many students divide the CGPA by the maximum and multiply by 100, because it is easy. The result can differ from the HEC formula by one or two percentage points. A CGPA of 3.0 gives 75 percent with the ratio and 73.33 percent with the HEC formula, and a CGPA of 2.0 gives 50 percent with the ratio and 52.90 percent with the HEC formula. If a form says to use the HEC conversion, the ratio is not accepted. The tool shows the ratio value next to the HEC value, so that you can see how much the choice matters.

The 10-point scale and the CBSE multiplier

Students who studied in India, or who completed an O-level or A-level programme, sometimes have a CGPA out of 10. The CBSE board in India uses a multiplier of 9.5 to convert it, so a CGPA of 8.4 is 79.8 percent. The multiplier was designed for that board and is not part of the HEC method. The calculator includes it for convenience, and you should check whether the institution that reads your result accepts it.

Where a percentage is requested

Common situations include applications for master's and doctoral programmes, scholarship portals, government and private job applications, merit lists for lectureships, and foreign credential evaluations. Each organisation chooses its own rule. Some accept the percentage printed on the transcript, some ask for the HEC conversion, and some publish their own table. Keep a copy of the transcript, note the formula that you used and, if there is any doubt, write to the admissions or human resources office and ask which conversion they accept.

Common mistakes

Typical mistakes are choosing the wrong scale, entering a semester GPA instead of the cumulative CGPA, rounding the CGPA to one decimal before converting, using the ratio when the form asks for the HEC formula, and forgetting that a percentage above 100 is impossible. Another mistake is to convert each semester and average the percentages, which can give a different answer from converting the CGPA, because the formula is not linear. Convert the final CGPA once, and keep two decimals throughout the calculation.

Tips, privacy and limits

Use the Dekuz GPA Calculator to work out your CGPA from grades and credit hours, then convert it here. If your university publishes its own conversion table, prefer that table. The numbers that you type stay in your browser and are not sent to Dekuz or stored. The tool is for planning and education, and it is not an official equivalence certificate. If you find a result that disagrees with a document published by your university or by HEC, please tell us through the contact page and we will review it.

Read the full guide

Want the background, a step-by-step example and the common mistakes? Read How to Convert CGPA to Percentage in Pakistan: The HEC Formula Explained. Learn how to convert CGPA to percentage in Pakistan with the HEC formula for 4.0 and 5.0 scales, with worked examples, a reference table and common mistakes.

Frequently asked questions