Percentage of Marks Calculator
Find your exam percentage from marks obtained and total marks.
Step-by-step working
- 438 / 500 = 0.87600
- × 100 = 87.60%
Mathematical Formula
Overview & Explanation
The aggregate percentage is your total marks as a share of the maximum possible marks.
How It Works
- Add marks of all subjects to be counted.
- Divide by the maximum marks.
- Multiply by 100.
Practical Applications
- Board exam results (CBSE, GSEB).
- Eligibility checks for admissions.
Calculating your percentage
Percentage = marks obtained ÷ maximum marks × 100. Scoring 432 out of 500 gives 432 ÷ 500 × 100 = 86.4%.
When subjects carry different maximum marks, add all marks obtained and divide by the total of the maximums. Do not average the individual subject percentages unless every subject has the same maximum, or the result will be skewed.
Board and university rules
Many boards and universities calculate an aggregate from a specific set of subjects. CBSE, for example, has commonly used the best five subjects for overall percentage, while university admissions may use only the main subjects or include practicals. Always check the rule used by the institution receiving your marks.
Converting a CGPA to a percentage is a separate calculation that depends on the institution's formula; CBSE has historically used CGPA × 9.5 for its grading system, but universities each publish their own conversion.
Example with different maximums
Suppose you scored 78 out of 100 in Maths, 85 out of 100 in Science and 40 out of 50 in a practical. Total obtained = 203, total maximum = 250, so the percentage is 81.2%. Averaging the three subject percentages (78%, 85%, 80%) would give 81%, slightly different because the practical carries less weight.
Example 1: 438 out of 500
Five subjects of 100 each.
Inputs
Marks obtained: 438 · Total marks: 500
Step 1
438 / 500 = 0.87600
Step 2
× 100 = 87.60%
Percentage
Result
Example 2: 1,725 out of 2,400
University semester aggregate.
Inputs
Marks obtained: 1725 · Total marks: 2400
Step 1
1725 / 2400 = 0.71875
Step 2
× 100 = 71.88%
Percentage
Result
How it's calculated & sources
Percentage = (Marks obtained / Total marks) × 100
Frequently Asked Questions
Should I average subject percentages?
How do CBSE best-of-five percentages work?
Can percentage exceed 100?
Should I round my percentage?
Are grace marks included?
Related Calculators
Percentage Calculator
Calculate percentages, percentage change, and percentage of a number instantly.
SGPA to CGPA Calculator
Combine semester SGPAs into a cumulative CGPA, weighted by credits if you have them.
Percentage Increase Calculator
Calculate the percentage growth or increase from an initial value to a final value.
Percentage Difference Calculator
Calculate the relative percentage difference between two numbers when neither is a baseline.