Convert obtained and maximum marks into percentages for one exam or multiple subjects, handle unequal maximum marks accurately, and calculate marks needed for any target percentage.
Enter your marks and click calculate to view the exact percentage, marks lost, breakdown, and normalized score.
A very common student mistake is calculating each subject's percentage separately and then taking the simple average. When subjects have different maximum marks (e.g. 50 vs. 100), simple averaging improperly gives a 50-mark exam the same mathematical weight as a 100-mark paper.
The Formulexa calculator calculates raw-total percentage by dividing total obtained by total maximum, weighting each subject by its maximum marks. Check your institution's guidelines if a specific board formula is required.
A percentage is a ratio normalized to a base of 100. When calculating your percentage from an academic test, examination, or assignment, you need two fundamental numbers:
The actual points, score, or marks awarded to you on your assessment, including any fractional marks.
The full marks possible on the test if every question was answered completely correctly.
If you want a raw-total percentage across several subjects, aggregate the obtained marks and maximum marks separately. The raw-total percentage formula sums both columns:
If every subject on your marksheet is graded out of the same maximum total (for example, 5 subjects each out of 100 marks), calculating the overall percentage through the total marks method yields the exact same result as taking the simple average of the subject percentages. For 5 subjects of 100 marks each, the denominator is 500.
Subjects can be evaluated out of different maximum totals—such as 50, 75, or 100 marks. For the raw-total method, sum all obtained marks and divide by the sum of all maximum marks. Do not substitute the simple mean of subject percentages when your goal is specifically a raw-total percentage. If an institution defines equal subject weighting or another method, follow that official policy.
If you have a target goal—such as needing 75% for college admission eligibility, or 80% to retain a scholarship—you can invert the percentage formula to find exactly how many marks you must score:
If the exact formula produces a decimal value (e.g. needing 83% out of 75 marks yields exactly 62.25 marks), and your examiner only awards whole integer marks, scoring 62 marks would give you 82.67%, falling short of your 83% threshold. In whole-mark environments, you must round up to the next integer (63 marks) to guarantee meeting your goal.
Obtained: 425
Maximum: 500
Calculation: (425 ÷ 500) × 100
Result = 85.00%
Marks Lost: 75
Scores: 45/50, 85/100, 68/75
Sum Obtained: 198
Sum Maximum: 225
Calculation: (198 ÷ 225) × 100
Result = 88.00%
Target: 80%
Total Marks: 550
Calculation: (80 ÷ 100) × 550
Result = 440 Marks
Permitted Lost Marks: 110
Students and parents frequently encounter these three terms on scorecards, competitive entrance exams, and college admissions. Here is how they differ:
| Term | Definition | Example | Dependent On Peers? |
|---|---|---|---|
| Marks | Raw points earned on an evaluation. | 85 points out of 100 | No |
| Percentage | Proportion of total marks earned, scaled out of 100. | 85% | No |
| Percentile | Relative rank indicating percentage of candidates who scored equal to or below you. | 98th percentile (scored higher than 98% of peers) | Yes |
Taking the average of percentages across papers with different totals (e.g., 50 and 100 marks) skews the overall aggregate. For a raw-total percentage, add the obtained marks and maximum marks separately, then divide the two totals.
Assuming that 33%, 35%, or 40% is universally a passing score leads to errors. Some boards require separate passing grades in theory and practical components.
Include theory, practical, internal, assignment, or other components only when they are part of the total you intend to calculate. For an official reported percentage, follow the relevant institution or board policy.
Excluding subjects (such as optional 6th papers) before confirming the specific admission rules of your university or employer can lead to invalid application submissions.
Calculate a weighted current grade and plan remaining work.
Open calculatorFind the score needed on a final assessment.
Open calculatorConvert wrong answers into a score and grading table.
Open calculatorCalculate credit-weighted semester, cumulative, and weighted GPA with target planning.
Open calculatorConvert CGPA to percentage using source-backed university formulas or proportional estimates.
Open calculatorConvert percentage to CGPA using verified inverse university formulas or proportional scale rules.
Open calculatorConvert semester SGPA to percentage using source-backed university formulas or proportional estimates.
Open calculatorSolve common percentage problems including percent of a number, percentage change, difference, and reverse percentages.
Open calculator
Direct answer
A marks percentage calculator divides obtained marks by maximum marks and multiplies by 100. For multiple subjects with unequal maximums, the raw-total method sums obtained marks and maximum marks before dividing. An institution may prescribe a different aggregation or rounding policy, so the calculator reports the mathematical result rather than declaring an official academic outcome.
Summing raw marks preserves the influence of subjects with different maximum marks. A simple average of subject percentages is equivalent only when every subject has the same maximum or policy assigns equal subject weight.
Overall percentage = Σ obtained marks ÷ Σ maximum marks × 100
| Variable | Meaning | Unit or range |
|---|---|---|
| obtained | Marks earned in each subject | marks |
| maximum | Maximum available marks | marks |
| Σ | Sum across included subjects | — |
Scores of 72/80 and 135/150 give 207 obtained marks out of 230. The raw-total percentage is 207 ÷ 230 × 100 = 90%. Averaging the two subject percentages instead would assign equal weight despite different maximums.
The result is the aggregate share of available marks earned across the entered subjects. It is not automatically an official grade, GPA, rank, or institution-approved conversion.
Divide obtained marks by maximum marks and multiply by 100.
Only when subjects are intended to have equal weight; otherwise use summed raw marks and maximums.
A subject with more available marks contributes more to the raw-total percentage.
The target mode reverses the percentage formula and applies the calculator’s documented whole-mark handling.