What is the formula to calculate percentage from marks?
Percentage = (Marks Obtained ÷ Maximum Marks) × 100. If you scored 450 out of 600, your percentage is (450 ÷ 600) × 100 = 75%. This formula works for any exam, any board, any number of subjects, and the only inputs you need are the marks you got and the total marks available. Unlike CGPA to percentage conversion, which varies by university, marks percentage always follows the same formula.
Three worked examples:
- 450 obtained out of 600 → (450 ÷ 600) × 100 = 75%
- 340 obtained out of 500 → (340 ÷ 500) × 100 = 68%
- 85 obtained out of 100 → (85 ÷ 100) × 100 = 85%
Run the same formula backwards and it answers the question students actually ask before an exam: how many marks a target percentage costs. These are the six totals Indian marksheets print most often:
| Total marks | 60% (First Class) | 75% (First Class with Distinction) | 90% (Distinction) |
|---|---|---|---|
| 50 | 30 | 38 | 45 |
| 70 | 42 | 53 | 63 |
| 80 | 48 | 60 | 72 |
| 100 | 60 | 75 | 90 |
| 500 | 300 | 375 | 450 |
| 600 | 360 | 450 | 540 |
How to calculate percentage of marks, step by step
You don't need a calculator for one subject, but it helps once you have six.
- Write down your marks obtained. The number on your marksheet, say 72 in Mathematics.
- Write down the maximum marks for that subject. Usually 100 for Indian school exams, sometimes 80 or 50.
- Divide marks obtained by maximum marks. 72 ÷ 100 = 0.72.
- Multiply by 100. 0.72 × 100 = 72%.
That's your subject percentage. One common mistake: averaging subject percentages instead of adding the raw marks first, since that only gives the right answer if every subject shares the same maximum. The correct method always uses totals (see the next section).
How do you calculate percentage for multiple subjects?
Add all your marks obtained across every subject. Add all the maximum marks. Then apply the formula once to those totals, and don't average your individual subject percentages first, since that gives the wrong result whenever subjects have different maximums.
A worked example with 5 subjects of different maximums:
- Mathematics: 72 / 100
- Physics: 58 / 80
- Chemistry: 44 / 80
- English: 38 / 50
- Computer Science: 38 / 50
- Total: 250 / 360
Overall percentage: (250 ÷ 360) × 100 = 69.4%. Averaging the five individual subject percentages instead would give 68.8%, close but not the same. For board exam applications and scholarship forms, always use the totals method. The calculator's Subject-wise tab does this automatically for as many subjects as you add.
Working out a class or section average
Teachers need the same formula one level up. Add every student's marks, add every student's maximum, and divide once: 5 students scoring 410, 375, 448, 302, 465 out of 500 each come to 2000 out of 2500, a class average of 80%.
Averaging the 5 individual percentages gives the same 80% here, because everyone sat papers worth the same 500. That shortcut stops working the moment students carry different maximums. A section where some took a 100-mark optional subject and others took a 50-mark one no longer averages cleanly, and only the totals method stays right.
Pass marks reference. CBSE requires a minimum of 33% per subject (theory and practical counted separately) for Class 10 and 12. Most state boards use either 33% or 35%.
Pass marks reference table
- Out of 50: 17 marks at 33%, 18 marks at 35%
- Out of 70: 24 marks at 33%, 25 marks at 35%
- Out of 80: 27 marks at 33%, 28 marks at 35%
- Out of 100: 33 marks at 33%, 35 marks at 35%
- Out of 500: 165 marks at 33%, 175 marks at 35%
- Out of 600: 198 marks at 33%, 210 marks at 35%
Passing marks vary by board and sometimes by subject: CBSE uses 33%, Karnataka SSLC uses 35% (per the calculator's presets), and some competitive exams set their own cutoffs. Always check your board's official notification.
How is CBSE percentage calculated for Class 10 and 12?
CBSE doesn't print an overall percentage on the Class 10 marksheet. It gives a CGPA based on five main subjects. Multiply that CGPA by 9.5 to get the percentage equivalent. Class 12 marksheets show actual subject marks, so you calculate percentage normally.
Class 10
CBSE Class 10 uses a 9-point grading scale; the CGPA is the average grade point across five main subjects. A CGPA of 9.2 converts to 9.2 × 9.5 = 87.4%. If the CGPA on that marksheet is the first one you have met, the guide to the difference between CGPA, SGPA and GPA explains which of the three a form is asking for.
Class 12
Most subjects split 80 marks theory + 20 marks practical, totalling 100 per subject across five subjects (500 maximum). Percentage = (Total Marks Obtained ÷ 500) × 100. Degree applications usually want that figure as a CGPA as well, which the calculator that reports CGPA and GPA together handles in one pass.
CBSE grade and division table
- 91% and above: A1 (Outstanding)
- 81 to 90%: A2 (Excellent)
- 71 to 80%: B1 (Very Good)
- 61 to 70%: B2 (Good)
- 51 to 60%: C1 (Average)
- 41 to 50%: C2 (Satisfactory)
- 33 to 40%: D (Pass)
- Below 33%: E (Fail)
How is SSLC percentage calculated in Kerala?
Kerala SSLC marksheets show grades rather than raw marks, so the percentage comes from Total Grade Points instead of this page's formula: add the grade points from all ten papers, divide by 90, multiply by 100. TheSSLC percentage calculatordoes that conversion, lists the full nine-point grade table, and compares the TGP method against the grade-midpoint estimate other sites use. It also covers the Karnataka and Tamil Nadu marks totals, which work the ordinary way.
Official sources for board and grading rules
Pass marks, grade bands and the CGPA multiplier all come from board and commission notifications, and they do change between years. Check the source before you rely on a converted figure:
- Central Board of Secondary Education (CBSE): subject-wise pass criteria, the theory/practical split, and the Class 10 CGPA × 9.5 conversion.
- Kerala Pareeksha Bhavan: SSLC grade points and the official result statement behind the TGP ÷ 90 conversion.
- University Grants Commission (UGC): the choice-based credit system guidelines that define grade points and credit-weighted averages at degree level.
- National Scholarship Portal: where the percentage cut-offs on most central scholarship forms are published.
State boards publish their own pass percentages (commonly 33% or 35%) through their examination boards; when the two disagree, your own board's current notification is the one that counts.
Percentage to grade: what does your score actually mean?
- 90%+: Distinction
- 75%+: First Class with Distinction
- 60%+: First Class
- 50%+: Second Class
- 40%+: Pass Class
- Below 40%: Fail
Most Indian government job notifications set 50% or 60% as the minimum academic qualification. Aiming for postgraduate admission abroad? Use the GPA Calculator to convert your percentage-derived CGPA to a 4.0 scale, or the SGPA to CGPA Calculator to track how much your overall score could realistically improve. If the number you landed on is short of the cut-off you need, the notes on how to improve your CGPA work out what the remaining semesters have to average.