How to Calculate Percentage of Marks (With Examples)

To calculate percentage of marks, divide the marks obtained by the total marks, then multiply by 100. For example, 432 marks out of 500 gives (432 / 500) x 100 = 86.4%. The same formula works for a single subject, a full board result, or a "best of five" calculation, only the numbers you plug in change.

The basic formula

Percentage = (Marks obtained / Total marks) x 100. This one formula covers almost every "percentage of marks" question you will run into, whether it is a single test, a semester result or a full-year aggregate. The only work is making sure you use the correct total marks for whatever you are calculating, since using the wrong denominator is the single most common mistake.

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Worked example: a single subject

If you scored 78 out of 100 in Mathematics, the percentage is (78 / 100) x 100 = 78%. When the total is already 100, the percentage equals the marks obtained directly, which is why single-subject percentages often look deceptively simple compared to aggregate calculations across several subjects with different maximum marks.

Worked example: a full board result across subjects

Suppose a student scores 88, 76, 92, 81 and 79 out of 100 in five subjects. The total marks obtained is 88 + 76 + 92 + 81 + 79 = 416, out of a total possible 500. The percentage is (416 / 500) x 100 = 83.2%. This is the standard method boards use when every subject carries the same maximum marks.

Worked example: "best of five" or "best of four" calculations

Some boards and universities calculate percentage using only your best-performing subjects rather than all of them, commonly called "best of five" or "best of four". Suppose a student took six subjects and scored 92, 88, 85, 79, 74 and 65 out of 100 each, and the "best of five" rule applies. You drop the lowest score (65) and use the remaining five: 92 + 88 + 85 + 79 + 74 = 418 out of 500, giving (418 / 500) x 100 = 83.6%, noticeably higher than if all six subjects (483 out of 600 = 80.5%) had been counted.

Worked example: different maximum marks per subject

When subjects do not share the same maximum marks, add up the actual marks obtained and the actual maximum marks separately before dividing. For example, if a student scores 45 out of 50 in one subject, 68 out of 80 in another, and 91 out of 100 in a third, the total is 45 + 68 + 91 = 204 obtained out of 50 + 80 + 100 = 230 possible. The percentage is (204 / 230) x 100, which is approximately 88.7%. Do not average the three individual percentages (90%, 85% and 91%) directly, since that ignores the different weight each subject actually carries.

Percentage of marks versus percentage change

"Percentage of marks" and "percentage increase or decrease" are different calculations that often get confused. Percentage of marks is always marks obtained divided by total marks, multiplied by 100. Percentage change (for example, comparing this year's score to last year's) uses a different formula: (new value minus old value) divided by old value, multiplied by 100. If you are comparing two results across years rather than calculating one result's percentage, use the percentage change formula instead.

Rounding your percentage correctly

Most results are reported to one or two decimal places, for example 83.2% rather than 83.199999%, so round only at the final step, after you have already divided the totals. Rounding a subject's percentage first and then averaging those rounded values can shift your final answer slightly compared to rounding once at the end, which matters if you are close to a cut-off percentage for admission or a scholarship. When in doubt, keep two or three decimal places through your calculation and round only the final result.

Negative marking and percentage

If an exam uses negative marking, your marks obtained already account for any deductions before you apply the percentage formula, so use your final score after deductions, not your raw number of correct answers. For example, if you attempted 90 questions worth 1 mark each with a 0.25 mark penalty for each wrong answer, and got 70 correct and 20 wrong, your marks obtained is 70 minus (20 x 0.25) = 65, out of a total of 90, giving (65 / 90) x 100, approximately 72.2%. Calculating percentage from the raw count of correct answers alone, without subtracting the penalty, gives a misleadingly higher figure.

Common mistakes when calculating percentage of marks

• Using the wrong total marks, especially when a paper has separate theory and practical components that need to be added together first.
• Averaging individual subject percentages instead of adding total marks obtained and total maximum marks first, when subjects carry different maximum marks.
• Applying a "best of five" or similar rule when the board or institution in question does not actually use one.
• Rounding too early in a multi-step calculation, which can shift the final percentage by a noticeable amount.

If your result is expressed as a CGPA rather than raw marks, the conversion uses a formula set by your board or university, printed on the marksheet or in its ordinance, rather than the marks-based one above. For any other percentage question, from percentage change to reverse percentage, the percentage calculator and the wider calculators section cover the common variations in one place.

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Frequently asked questions

Sources

• CBSE (Central Board of Secondary Education) (checked 2026-09)

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