Percentage Formula
The percentage formula is Percentage (%) = (Obtained Marks ÷ Total Marks) × 100. This page lists the exact formulas for every common academic conversion — marks to percentage, CGPA to percentage, GPA to percentage, percentage increase, attendance percentage — with one worked example each.
The core formula
Percentage = (Obtained ÷ Total) × 100In plain English: divide what you scored by the maximum possible, then multiply by 100. The result is your percentage score. Round to two decimal places for official applications; cut-offs are often decided at the second decimal.
Five worked examples
- 1
5 subjects, each out of 100
(438 ÷ 500) × 100 = 87.6%
- 2
Single paper out of 80
(62 ÷ 80) × 100 = 77.5%
- 3
Semester aggregate out of 1000
(712 ÷ 1000) × 100 = 71.2%
- 4
Unit test out of 25
(22 ÷ 25) × 100 = 88%
- 5
FSc annual exam out of 1100
(935 ÷ 1100) × 100 = 85%
Related formulas
- CGPA to percentage (CBSE 10-point scale)
Percentage = CGPA × 9.5. Example: 8.4 × 9.5 = 79.8%. Open the CGPA calculator →- GPA to percentage (4.0 scale)
Percentage = (GPA ÷ 4.0) × 100. Example: 3.5 GPA = 87.5%. Open the GPA calculator →- Percentage increase
((New − Old) ÷ Old) × 100. From 80 to 100 = 25%. Open the increase calculator →- Attendance percentage
(Attended ÷ Total) × 100. Most Indian universities require ≥ 75%. Open the attendance planner →- CBSE Best of Five
(Sum of top 5 subjects ÷ 500) × 100. Used for Class 10 aggregate eligibility. Open the CBSE calculator →- Weighted grade
Σ (grade × weight) ÷ Σ weight. Used when assignments carry different weightings. Open the weighted grade calculator →
Frequently asked questions
- What is the percentage formula?
- The percentage formula is: Percentage (%) = (Obtained Marks ÷ Total Marks) × 100.
- How do I calculate percentage of marks?
- Divide your obtained marks by the total maximum marks, then multiply the result by 100. For example, 438 out of 500 is (438 ÷ 500) × 100 = 87.6%.
- How do I convert CGPA to percentage?
- Multiply your CGPA by 9.5 on the CBSE 10-point scale. A CGPA of 8.4 equals 8.4 × 9.5 = 79.8%.
- How do I convert GPA to percentage on a 4.0 scale?
- Divide your GPA by 4.0 and multiply by 100. A 3.5 GPA equals (3.5 ÷ 4.0) × 100 = 87.5%.
- What is the CBSE Best of Five rule?
- The CBSE Best of Five takes your marks in the five highest-scoring subjects (out of your six Class 10 subjects), sums them, and divides by 500 before multiplying by 100.
- How do I calculate aggregate percentage across semesters?
- Add your obtained marks from every semester, add the total maximum marks from every semester, then apply the percentage formula to those two grand totals.
- How do I calculate percentage increase?
- Percentage increase = ((New Value − Old Value) ÷ Old Value) × 100. From 80 to 100 it is ((100 − 80) ÷ 80) × 100 = 25%.
- How do I calculate attendance percentage?
- Attendance percentage = (Classes Attended ÷ Total Classes Held) × 100. Most Indian universities require at least 75%.
- Is percentage the same as percentile?
- No. Percentage is an absolute score out of 100. Percentile is a relative rank showing the fraction of test takers scoring at or below you.
- What percentage is a first-class (distinction)?
- In most Indian universities a first-class is 60% or above, and a first-class with distinction is typically 75% or above.
Skip the math
Plug your numbers into the free Marks Percentage Calculator and get the answer in one click — complete with CBSE, ICSE, FSc and Matric presets.
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