How to Calculate Percentage of Marks?
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“How to calculate percentage of marks” remains a common question among students seeking to get higher education abroad. The calculation of percentage from marks can be done using simple Percentage Formula, i.e. (Total Obtained Marks/Total Possible Marks) x 100.
If you are Indian student dreaming of studying at top university abroad then this guide is perfect for you. Just as your CGPA- percentage is universally understood by universities worldwide. Hence converting your marks into percentages is often crucial step when applying to top global institutions in some of best countries for higher education abroad where different grading systems need to be translated clearly.
Calculating percentage of marks can vary when total marks are 100 or different. Hence in this article we have come up with different formulas to calculate percentage of marks when total marks vary. The common way to calculate percentage of marks is dividing total obtained marks by total possible marks and multiplying result by 100. Here's percentage calculation formula- Percentage = (Obtained Marks ÷ Total Marks) × 100
By end of this article, you will be able to calculate percentage from marks in any situation, whether your exam was out of 100, 50, or any other total. We have included real examples relevant to Indian students applying abroad, plus special sections on percentage increase and decrease calculations.
Also read-
- What is a Percentage?
- What is the Percentage Formula?
- Step-by-step procedure of calculating Percentage from Marks
- Case-wise Percentage Calculation Examples
- How to Calculate Percentage From Marks: Summary
- How to Calculate Percentage Change?
- How to Calculate Marks from Percentage?
- How to Calculate Percentage of Marks FAQs
What is a Percentage?
Term percentage is taken from Latin word “Per Centum”. It means “by parts of 100”. Percentage expresses some parts of a number, rate or amount as part of whole entity - mostly considered 100. General calculations involving calculation of percentage from marks involve common steps of obtaining denominator as multiple of 100. If that cannot be done then there are diff. formulas to calculate percentage of marks
What is the Percentage Formula?
Percentage of marks can be calculated by dividing the obtained marks by total marks and then multiplying result by 100.
- Total obtained marks are the marks that you receive in all subjects. To get these marks - add up all marks you receive in each subject.
- Total Marks or Total Possible Marks- these are maximum marks that can be scored in a subject. To calculate total maximum marks - add up all maximum marks.
Thus percentage formula comes out to be - Percentage = (Total Obtained Marks/Total Obtained Marks)x100
For eg. - if a student scores 25/50 marks on his test then his percentage of marks will be (25/50)x100 = 50%
Step-by-step procedure of calculating Percentage from Marks
Refer to steps given below to calculate percentage from marks-
- Add all marks obtained across subjects.
- Add maximum marks (M.M.) across these subjects.
- Divide total marks obtained by total M.M.
- Multiply result by 100 to get percentage.
Also Read- How to calculate percentage from SGPA?
Case-wise Percentage Calculation Examples
Let us understand how to calculate the percentage of marks in different cases.
Case 1 Total marks are 100.
This is the simplest case. Here marks are given out of 100 and the percentage is simply the marks obtained. Percentage of marks formula in this case is Percentage = obtained marks/total marks= obtained marks/100 = (obtained marks)%
For eg. Rohan scored 74/100 marks and Shilpa scored 95/100 marks in a test. Therefore percentage of marks scored by Rohan and Shilpa is 74% & 95%.
Case 2. When the total marks are not 100 but a multiple of it.
Calculating the percentage of marks when the total marks are not 100 sometimes gets tricky. In this case you need to calculate average percentage marks of all subjects. For this add marks obtained in all subjects and divide it with total marks. Then numerator of fraction represents percentage of marks. For example, Rohit secured 540/600 marks in his exams. So we divide both numerator and denominator by 6 to get 100 in denominator i.e. (540÷6)/(600÷6)=90/100=90% therefore Rohit's scored 90% marks in his exams.
Also Read -
Case 3. When Total Marks are Factor of 100
In similar case as above when total marks are factor of 100 multiply whole fraction of marks by a number such that denominator becomes 100 or total marks become 100. For example Sanjana receives 16 marks out of total of 25 marks. So fraction of marks that Sanjana obtained is 16/25. Now multiplying the whole fraction by such a number that denominator becomes 100 - (16x4)/(25x4) = 64/100 = 64%
How to Calculate Percentage From Marks: Summary
As we have learned all cases of how to find the percentage of marks - we can summarise all three cases below.
| Cases | Procedure |
|---|---|
| When the Total Marks are 100 | The numerator of the fraction of marks gives the percentage. |
| When the Total Marks are a Multiple of 100 | The whole fraction of marks is divided by a number to get “100” as the denominator. Then, the numerator of the fraction of marks gives the percentage (as in Case 1). |
| When the Total Marks are a Factor of 100 | The whole fraction of marks is multiplied by a number to get “100” as the denominator. Then, the numerator of the fraction of marks gives the percentage (as in Case 1). |
Related Reads
- How to Calculate CGPA for Studying Abroad?
- How to convert 10 point CGPA to 4 point GPA?
- How to Calculate SGPA?
How to Calculate Percentage Change?
When quantity or value changes in terms of percentage over period of time- amount of change that occurred can be expressed by percentage change. The formula to calculate change in percentage is given below.
Percentage Change = (Change in Value/Original Value) x 100
Therefore- increase and decrease in percentage can be calculated as explained ahead.
How to Calculate Increase in Percentage?
A percentage increase is referred to as increase in percentage value of given quantity over period of time. The calculation of percentage increase can be useful when determining change in percentage of large quantities over period of time- such as change in population or change in bacterial growth over period of time. The percentage increase formula is given below.
Percentage Increase = (Increased Value - Original Value)/Original Value x 100
For example- consider that total population of town has increased from 1500 to 2500 people. Then- calculation of percentage increase in total population of town is shown in image below Percentage Increase = (2500 - 1500) / 1500 x 100 = 66.66% (image representation given below)
So- above calculation indicates percentage increase in population of town is 66.66%.
Also Read- Indian Percentage to German GPA Calculator
How to Calculate Decrease in Percentage?
A percentage decrease is referred to as decrease in percentage value of given quantity over period of time. The percentage decrease formula is given in image below. Percentage Decrease = (Original Value - Decreased Value)/Original Value x 100 For example- consider that total number of students in school has decreased from 750 to 550. The percentage decrease in total number of students in that school can be calculated as given below. Percentage Decrease = (750 - 550) / 750 x 100 = 26.66% (image representation given below)
So- above calculation indicates that percentage decrease in total number of students in given school is 26.66%.
Also Read- Understanding International Grading for Students
How to Calculate Marks from Percentage?
We have provided the formula to calculate marks from percentage below in case the students need to verify their marks based on the percentage that they received in the examination. For using this formula to calculate the marks from a percentage, the students must be aware of the total marks.
Marks = (Percentage of Marks/100)xTotal Marks (image representation given below)
For eg.- Rohan received 64% marks on his test - which was scored out of total of 25 marks. Thus, marks obtained by Rohan are-
Marks = (64/100)x25 =16
Hence Rohan obtained 16 marks on his test.
So, this was all about how to find the percentage of marks and how to calculate marks from percentage. In this blog, we also presented the calculation of percentage increase and decrease. Candidates looking for assistance with the university application process can get in touch with our Shiksha Counselling Services on the same. Candidates can write to us with their queries in the comments section below.
How to Calculate Percentage of Marks FAQs
For calculating percentage of marks on calculator divide total marks that you scored by total maximum marks (M.M.) then multiply result by 100. For eg. if you scored 362 marks out of 500 - divide 362 by 500 on calculator and multiply result by 100. This gives 72.4% marks.
The process to calculating the percentage of marks of 6 subjects is pretty simple and the formula is-
(Total marks in 6 subjects/Total maximum marks for these 6 subjects)x100
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For calculating the percentage of marks in which multiple subjects are involved sum up all marks of all subjects. Then sum up all total marks in respective subjects. In next step divide total obtained marks in all subjects by total maximum marks in all subjects then multiply the result by 100. Here's the formula- (Total marks in all subjects/Total maximum marks for these subjects)x100