Converter
Percentage to GPA Calculator
Guide
How a percentage converts to CGPA
Going the other way uses the same HEC bands, read backwards. Each ten-point range of marks has a starting grade point and a slope. 90% and above starts at 3.63 and climbs by 0.037 per mark, 80–89% starts at 3.25, and so on down. Your percentage picks a band, and the marks above that band's floor decide how far up it you land.
Enter your percentage and pick the scale you want. That is 4.0 for almost every Pakistani university, and 5.0 for the few that use it. The CGPA updates as you type, and percentages are kept between 0 and 100.
This is the direction you need when your result is in marks and something asks for a GPA. Most Pakistani intermediate and annual-system results are in marks, while university portals and foreign admission forms often want a GPA.
The Formula
// 4.0 scale — first matching band wins, evaluated top downMarks ≥ 90 → 3.63 + (Marks − 90) × 0.037Marks ≥ 80 → 3.25 + (Marks − 80) × 0.037Marks ≥ 70 → 2.88 + (Marks − 70) × 0.036Marks ≥ 60 → 2.50 + (Marks − 60) × 0.037Marks ≥ 50 → 1.80 + (Marks − 50) × 0.069Marks ≥ 40 → 1.00 + (Marks − 40) × 0.079Marks > 0 → Marks × 0.0248The 5.0 scale works the same way, with every band's starting point raised by one. Results are rounded to two decimal places.
Worked Examples
Example 1: 82% on the 4.0 scale
82 falls in the 80–89 band, which starts at 3.25.
| Band selected | 82 ≥ 80 → 3.25 + (Marks − 80) × 0.037 |
|---|---|
| Marks above the band floor | 82 − 80 = 2 |
| Add the band's rise | 3.25 + (2 × 0.037) = 3.32 |
Example 2: 55% on the 4.0 scale
The 50–59 band is much steeper than the bands above it, at 0.069 per mark, so each mark is worth more CGPA down here.
| Band selected | 55 ≥ 50 → 1.80 + (Marks − 50) × 0.069 |
|---|---|
| Marks above the band floor | 55 − 50 = 5 |
| Add the band's rise | 1.80 + (5 × 0.069) = 2.15 |
FAST-NUCES Grading Scale
Your CGPA comes from this grading scale, and the converter above maps it onto the HEC percentage bands. The two are separate systems. This scale is how your university awards grades. The conversion is the national rule for stating the resulting CGPA as a percentage.
| Grade | Grade Points |
|---|---|
| A+ | 4.00 |
| A | 4.00 |
| A- | 3.67 |
| B+ | 3.33 |
| B | 3.00 |
| B- | 2.67 |
| C+ | 2.33 |
| C | 2.00 |
| C- | 1.67 |
| D+ | 1.33 |
| D | 1.00 |
| F | 0.00 |
Frequently Asked Questions
Which formula does this converter use?
The HEC CGPA-to-percentage conversion sheet. This is the formula Pakistani universities and HEC attestation use. It works in bands: each ten-point range of percentage has its own slope, so the conversion is not one simple multiplication. Both directions use the same bands, so converting a CGPA to a percentage and back gives you the number you started with.
Why does my university quote a different percentage than this?
Because two similar rules are in use. This converter uses the HEC formula, which is continuous. The HEC grading table instead maps a grade point to a whole band of marks, and a transcript or equivalence letter often reads a CGPA as the lowest percentage in its band. Under that rule a CGPA of 3.00 sits at the bottom of the B band and is quoted as about 71%, where the formula gives a little over 73%. Neither is wrong. Use whichever one the office asking for the number wants.
Should I pick the 4.0 or the 5.0 scale?
Whichever one your transcript uses. Almost every Pakistani university grades on 4.0, including COMSATS and FAST-NUCES, so that is the default here. The 5.0 option is for the smaller number of institutions on that scale. It shifts every band up by one point rather than rescaling the whole thing.
Is this accurate enough for a scholarship or foreign application?
It follows the HEC formula exactly, but it is not an official document. Scholarship boards, foreign universities and HEC equivalence usually want the percentage printed on an official transcript, or an equivalence certificate from your university's examination office. Use this to know your number in advance, then get it certified.
Can I convert a single semester GPA rather than a CGPA?
Yes. The arithmetic does not care whether the number came from one semester or a whole degree, so entering an SGPA gives you that semester's percentage. Keep in mind that anyone asking for 'your percentage' almost always means the cumulative figure.
Why does a low CGPA convert to such a low percentage?
The bottom band is much steeper than the rest. Above 40% the bands rise gently. Below it the formula drops sharply, so a CGPA under 1.00 converts to a very low percentage. That is the HEC formula working as written, not a rounding error. The bands were fitted to the passing range, where nearly every real transcript sits.