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How to Calculate Percentage of Marks: Aggregate, Best of 5, JEE 75%

Percentage = marks obtained ÷ maximum marks × 100, so 432 out of 600 is 72%. How to work out aggregate, best of five, and the 75% Class 12 rule for JEE.

By the EthicalFusion team Published Updated 7 min read

Percentage of marks = marks obtained ÷ maximum marks × 100. If you scored 432 out of 600, your percentage is 432 ÷ 600 × 100 = 72%. For several subjects, add up all the marks you got and all the maximum marks, then divide; don't average the subject percentages unless every paper has the same maximum.

The free exam marks percentage calculator takes your marks obtained and total marks and shows the percentage to two decimal places. This guide covers the cases that cause confusion: theory plus practical marks, aggregate versus subject-wise percentage, "best of five" for CBSE students, and the 75% Class 12 rule for JEE admissions.

The formula, with examples

Divide what you scored by the most you could have scored, then multiply by 100. The calculator does exactly this. It also shows a letter grade, but those bands (A+ from 90%, A from 80%, B from 70%, C from 60%, D from 50%, E from 33%, F below 33%) are the tool's own general bands, not your board's grades.

Marks obtainedMaximum marksWorkingPercentage
432600432 ÷ 600 × 10072%
437500437 ÷ 500 × 10087.4%
578057 ÷ 80 × 10071.25%
164200164 ÷ 200 × 10082%

A quick check for marks out of 500: divide by 5. So 437 out of 500 is 87.4%. For marks out of 600, divide by 6.

Subject-wise percentage: add theory and practical first

Many board papers split a subject into a theory paper and a practical or internal assessment, for example 70 + 30 or 80 + 20. Your subject percentage uses the combined marks. If you scored 56 out of 70 in the Physics theory paper and 28 out of 30 in the practical, your Physics score is 84 out of 100, or 84%.

Don't report the theory paper alone (56 ÷ 70 = 80%) unless a form specifically asks for theory marks.

Aggregate percentage: add marks, not percentages

Your aggregate is the total of the marks you scored across subjects divided by the total maximum marks. For five subjects out of 100 each with 78, 85, 62, 90 and 71, the total is 386 out of 500, so the aggregate is 77.2%.

When the subjects have different maximums, averaging the percentages gives the wrong answer. Suppose you scored 45 out of 50 in one paper (90%) and 120 out of 200 in another (60%):

  • Wrong: (90 + 60) ÷ 2 = 75%.
  • Right: (45 + 120) ÷ (50 + 200) × 100 = 165 ÷ 250 × 100 = 66%.

The 200-mark paper carries four times the weight of the 50-mark paper, and only the marks method reflects that. Enter the totals (165 and 250) in the calculator rather than the two percentages.

CBSE, "best of five" and the sixth subject

CBSE does not work out a percentage for you. In a notice dated 30 November 2023, the Board said it "does not calculate/declare/inform percentage of marks", that under its examination bye-laws "no overall division/distinction/aggregate shall be awarded", and that if a student has taken more than five subjects, "the decision to determine the best 5 subjects may be taken by the admitting institution or employer". If a college or employer needs a percentage, it calculates it, using its own rule.

So "best of five" means different things depending on who is asking. Take a Class 12 science student with six subjects: English 80, Physics 62, Chemistry 70, Mathematics 64, Computer Science 90 and Physical Education 92.

MethodSubjects countedMarksPercentage
All six subjectsAll458 / 60076.33%
Best five (drop the lowest)Leaves out Physics (62)396 / 50079.2%
JEE/JoSAA five subjectsPhysics, Chemistry, Maths, English, best other (PE 92)368 / 50073.6%

The same marksheet gives 79.2% for a college that simply takes the best five, but 73.6% for engineering admission, because JoSAA does not let you drop Physics or Maths. Always read the admitting institution's rule before you work out the figure, and enter the matching total in the calculator.

Two more CBSE points that affect the arithmetic. The pass mark is 33% in each subject, and for Class 12 subjects with practical work CBSE's examination bye-laws require 33% in theory and in the practical separately, as well as overall. And while the bye-laws allow grace marks "as per the criteria decided from time to time", CBSE does not publish a fixed number of grace marks, so the marks on your marksheet are the ones to use. State boards set their own pass marks and grading; check your board's rules if you are not with CBSE.

The 75% rule for JEE admissions

JEE Main itself has no age limit or minimum Class 12 percentage to sit the exam. The 75% rule applies at admission. For 2026 admissions to IITs, NITs, IIITs and other government-funded technical institutes, the JoSAA business rules (repeated in the JEE Main bulletin and the JEE Advanced brochure) require you to meet one of two conditions:

  • at least 75% aggregate marks in five subjects in Class 12, or 65% for SC, ST and PwD candidates; or
  • be within the top 20 percentile of successful candidates of your own board, category-wise, in that year.

JoSAA specifies the five subjects. For IITs: Physics, Chemistry, Mathematics, a language (the higher-scoring one if you took two) and any one other subject (the highest-scoring one). For B.Tech at NITs and other NIT+ institutes, Chemistry can be replaced by Biology, Biotechnology or a technical vocational subject. If a subject is not marked out of 100, its marks are scaled to 100 so the total is out of 500.

So you need 375 out of 500 for 75%, or 325 out of 500 for 65%. The student in the table above has 368, which is 7 marks short of 75%. They could still qualify through the top 20 percentile route, since that cut-off depends on how everyone in their board and category scored that year. These rules are for 2026 admissions; check the current JoSAA business rules for later years.

Working backwards: marks needed for a target

To find what you need in the remaining papers, multiply your target percentage by the total maximum marks, then subtract what you already have.

Example: you want 85% across five papers of 100. You have 82, 88, 79 and 90 in four of them, a total of 339. The target is 85% of 500 = 425 marks, so you need 425 − 339 = 86 in the last paper. The percentage calculator gives the 425 (85% of 500), and the final grade calculator gives the same answer if you enter 84.75% as the current grade (339 ÷ 400), 20% as the final's weight and 85% as the target: it shows 86%.

Common mistakes

  • Averaging percentages across papers with different maximum marks, as shown above.
  • Leaving out internal or practical marks, which can lower a subject by several percentage points.
  • Rounding up to meet a cut-off. 374 out of 500 is 74.8%, not 75%. Unless the rule you are applying says it rounds, treat a cut-off as exact.
  • Mixing up percentage and percentile. A percentage measures your marks; a percentile (as in JEE Main scores) measures where you stand against other candidates. 90 percentile does not mean 90 marks out of 100.
  • Converting CGPA with the wrong formula. If your marksheet shows CGPA instead of marks, use the formula your board or university prescribes. CBSE's is CGPA × 9.5; many universities use something else. The guide on CGPA to percentage for CBSE and universities covers each case, and the CGPA to percentage converter applies the CBSE rule.

Frequently asked questions

How do I calculate the percentage of marks out of 500?

Divide your total by 500 and multiply by 100, or simply divide by 5. For example, 437 out of 500 is 437 ÷ 5 = 87.4%.

Does CBSE give a percentage on the marksheet?

No. CBSE says it does not calculate or declare a percentage of marks and awards no overall division or aggregate. If you need a percentage for admission or a job, use the rule of the institution or employer asking for it, often the best five subjects.

Is the sixth (additional) subject included in the percentage?

Only if the institution's rule allows it. For JEE admissions, the fifth subject is "any subject other than" Physics, Chemistry, Maths and the language, and the one with the highest marks is used, which can be your additional subject.

How many marks out of 500 do I need for 75%?

375. For 65%, you need 325, and for 60%, 300. Multiply the total by the percentage and divide by 100.

Should I round 74.6% up to 75%?

No, unless the rule you are applying says it rounds. 373 out of 500 is 74.6%, which does not meet a 75% requirement.

What is the difference between percentage and percentile?

A percentage is your marks out of 100. A percentile compares you with other candidates: NTA defines a JEE Main percentile as the percentage of candidates in your shift who scored equal to or less than you, so 90 percentile says nothing about your actual marks.

Sources: Central Board of Secondary Education, notice on calculation of percentage, Class X and XII (30 November 2023); CBSE Examination Bye-Laws (rules 40.1 and 59); NTA, JEE (Main) 2026 Information Bulletin (section 5.8.1); JoSAA 2026 Business Rules (Annexures 2(a) and 2(b)); JEE (Advanced) 2026 Information Brochure.

  • #percentage of marks
  • #marks percentage calculator
  • #best of five
  • #aggregate percentage
  • #jee 75 percent criteria

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