Marks Percentage Calculator

Class 10 and 12: add all subjects first

Your percentage is the marks you obtained divided by the total marks, times 100. For a whole exam, add up every subject before dividing — the marks field above accepts the sum as you would write it, so 68+72+80+91+77 is fine.

Do not average the subject percentages unless every paper has the same maximum. A 40 out of 50 in one subject and 60 out of 100 in another is 100 ÷ 150 = 66.7%, not the 70% the two percentages (80% and 60%) would average to. Weighting each percentage by its paper’s total gives the right figure too, and the average percentage calculator does that weighting for you.

Is 10th any different from 12th?

Not in the arithmetic. Your 10th percentage and your 12th percentage are both marks obtained ÷ total marks × 100, and the calculator above does either without being told which year you sat. Three things around the sum do change, and each one changes a number you type in:

• The total. Five subjects of 100 makes 500, which is the CBSE total in both years. Several state boards examine six subjects, so the total is 600. Type the maximum printed on your own statement of marks — a classmate on another board is dividing by a different number, and their percentage is not comparable to yours.
• Theory plus internal assessment. Most CBSE Class 10 subjects are marked out of 100 split as 80 for the written paper and 20 for internal assessment, and the result already adds the two: 68 in the paper and 18 internally is the single figure 86, out of 100. Dividing that 86 by the 80-mark paper gives 86 ÷ 80 × 100 = 107.5% — which is why the calculator warns you when the marks exceed the total.
• Which subjects count. A 10th percentage is normally every main subject as it stands. Best of five and best of four are admission rules a college applies to 12th results, not board rules — see below.

Marks needed for a target percentage

Turn the question round: you know the total marks and the percentage you want, and need the marks. Multiply the target percentage by the total and divide by 100 — marks needed = target % × total marks ÷ 100. Choose Marks needed in the calculator above.

Always round up, never to the nearest mark: 26 out of 80 is 32.5%, just short of the pass mark. When the answer comes out whole — 75% of 80 is exactly 60 — that is the number to aim for, with nothing to round.

If your result is a grade point

Marks out of a total and a CGPA are two different questions. A CGPA is not a percentage with the decimal point moved: it is multiplied by a conversion factor the board or university publishes, and the factor differs — CBSE published 9.5, many universities use 10, and the same grade point converts nearly five points apart between them.

The CGPA to percentage calculator does that conversion, names the rule it used in the answer, and shows both factors side by side at every half-step.

CBSE's 9-point grades

The scale CBSE used for class 10 alongside CGPA, as a reference. Boards differ, and CBSE itself has changed how it reports results since — check your own board's scheme before writing a grade on a form. The calculator above gives the percentage only, on purpose.

Percentage or percentile?

A percentage compares your marks with the total: 85% is 85 marks in every 100. A percentile compares you with everyone else who sat the paper: the 85th percentile means you scored higher than 85% of candidates, whatever your marks were. Boards report percentages; JEE Main, NEET and CAT report percentiles. A 99 percentile in JEE says nothing about the percentage of questions answered correctly, and the two cannot be converted without the whole score distribution.

Best of four, best of five

Many university cut-offs are computed on your best four or five subjects, sometimes with a compulsory language paper included. The arithmetic is the same — add the chosen subjects' marks, divide by their combined maximum — but which subjects count is the admitting institution's rule, not yours or the board's. Compute the overall percentage for your certificate and the best-of figure for each application separately; they will differ, and both are correct for their purpose.

Marks out of a total is one of the three percentage questions. The other two — what percentage of the total is this, and what total would make this many marks a given percentage — are the percent-of-what-number and reverse percentage calculators.

CBSE percentage calculator: what the board says and how to work it out

CBSE marksheets give marks subject by subject and no overall percentage. The board says so in a notice dated 30 November 2023:

So there is no official CBSE percentage to look up. When a college or an employer needs one, it is usually plain arithmetic on the marksheet — total marks obtained ÷ total maximum marks × 100 — and the admitting institution decides which subjects count. The notice gives no formula of its own. The calculator above does the arithmetic, and accepts the subjects with plus signs.

Five subjects of 100 make 500, the usual CBSE total. A student who also took a sixth (additional) subject has six subjects on the marksheet, 600 marks in all, and whether five or six count is for the admitting institution or employer to decide. If a form does not say which, ask the institution before you write the higher figure.

Best five of six, worked

Type 68+72+80+91+77+59 into the marks field, with 600 as the total, to get the first figure. For the best five of your own marks, leave the lowest out of the + list and change the total to 500: with 600 left in, the same five marks would read as 64.67%, which is no one’s percentage. Some admissions use a best-of-five percentage. Rules differ, and a compulsory language may have to be one of the five, so check your institution’s current rule before relying on the higher figure.

Percentage to marks: turn a percentage back into marks

Marks = percentage × maximum marks ÷ 100. 70% of 600 is 70 × 600 ÷ 100 = 420 marks, and 86.4% of 500 is 432. This is the Marks needed direction of the calculator above: choose it and type the percentage and the maximum marks. Check the other way: 420 ÷ 600 × 100 = 70%.

Turning your own percentage, printed with two decimals, like 75.17%, back into your marks? Round the exact figure to the nearest whole mark; the calculator’s headline rounds up, which answers a different question (below). A whole-number percentage cannot give your marks back: 447 to 452 of 600 all print as 75%, so use your marksheet.

When the answer has a decimal and you need at least that percentage, round up, the same rule as the pass-mark example above: 33% of 70 is 23.1, so you need 24, because 23 is only about 32.86%. The calculator shows both figures: “Exactly 23.1, rounded up to 24”.

Converting your own percentage back is a different question. A percentage printed to two decimals has been rounded, so take the nearest whole mark, not the next one up: 75.17% of 600 is 451.02, so you scored 451 (451 ÷ 600 × 100 = 75.1666…, printed 75.17%). The calculator’s Marks needed answer, 452, is the least you would need to reach 75.17%, which is not the same thing: its line “Exactly 451.02, rounded up to 452” shows the exact figure, and that is the one to round to the nearest.