How to Calculate Percentage of Marks?
“How to convert marks into percentage?” remains a common query among students seeking to pursue their higher education abroad. The percentage can be calculated using a simple formula, i.e. the Percentage Formula. The formula that is used to calculate percentages is: [(Actual Value/Total Value) x 100]. However, in different scenarios where total marks are not 100, different calculations need to be done. This article teaches all the ways to calculate percentages.
Calculating percentage from marks can sometimes be a bit difficult for students as there are many formulas and cases involved. One time you have to calculate the percentage of marks when the total is 100 or a multiple of 100 and the other time, it's not. In such cases, knowing a few simpler and easier tricks that can help you carry out the calculations quickly can save you a lot of time. Hence, in this article, we have come up with different formulas to calculate percentage of marks when the total marks vary
In case you too are wondering how to calculate percentage of marks then, this blog is for you! You may need to convert marks into percentages to get admitted to the top universities in the best countries for higher education abroad. But before learning how to find the percentage of marks, we must understand the term “percentage” thoroughly. Based on your understanding of “percentage”, it will be easy to determine the percentage from marks.
You will also be able to calculate the percentage of marks where the total marks are/are not equal to a hundred. Hence, in this blog, you will come across different ways to calculate the percentage of marks. We have also provided some real-life examples in each case so that you don't face difficulty in any of your calculations.
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What is Percentage?
The term “Percentage” was derived from the Latin word “Per Centum” which means “by parts of 100”. Percentage is used to express a number, rate, amount, etc. as a part of a “whole” entity, where the “whole” is usually taken as 100. Alternatively, percentage can be explained as any number or ratio expressed as a part of 100. Thus, all calculations in determining the percentage from marks involve obtaining a denominator in the form of 100.
What is the Percentage Formula?
The percentage of marks can be calculated by dividing the obtained marks (actual value) by the total marks (total value) and then, multiplying the fraction with 100.
Thus, the percentage formula is:
For example, if a student receives 25 marks out of 50 on his test then, his percentage of marks can be calculated by dividing the marks he received (actual value) by the total marks (total value) and then multiplying the fraction with 100.
How to Calculate Percentage of Marks?
Now that we have learned the percentage formula, we will consider the different cases of calculating the percentages from marks. Let us learn how to find percentage of marks in different scenarios below.
Case 1. When the Total Marks are 100
In case the scores are given out of a total of 100 marks, i.e. the division of obtained scores (actual value) by the total score (total value) makes a fraction out of 100, then, the percentage is simply the numerator of the fraction.
Hence, the percentage of marks formula in this case will be: Percentage = actual value/total value = actual value/100 = (actual value)%
For example, in a test, Rohan scored 74 marks out of 100 and Shilpa scored 95 marks out of 100, the fraction of scores obtained by Rohan and Shilpa are:
Hence, the percentages of marks obtained by Rohan and Shilpa are 74% and 95% respectively.
Case 2. When the Total Marks are a Multiple of 100
It may become difficult at times to calculate the percentage of marks when the total marks are not hundred. The calculations involving the total marks as a multiple of 100 are useful in deriving the average percentage of marks of the student. In such cases, we just add the marks obtained in all the desired subjects alongside adding their total marks separately.
To calculate the percentage of marks when the total marks are a multiple of 100, we divide the numerator and denominator of the fraction of marks by an integer so that the denominator gets reduced to “100”. Then, the numerator of the fraction gives the percentage of marks (as discussed in Case 1 above).
For example, Rohit secured a total of 540 marks out of 600 marks in an exam. Then the fraction of marks that Rohit secured is 540/600. Now, we divide both the numerator and the denominator by 6 to get a 100 in the denominator.
Therefore, the percentage of marks secured by Rohit is 90%.
Case 3. When the Total Marks are a Factor of 100
Wondering how to calculate the percentage of marks when the total mark is a factor of 100? In a similar case as above, when the total marks are a factor of 100, multiply the whole fraction of marks with a number such that the denominator gets converted to 100, or the total marks become 100.
For example, Sanjana receives 16 marks out of a total of 25 marks. Therefore, the fraction of marks obtained by Sanjana is 16/25. Now, to calculate the percentage of her marks (out of hundred), we have to multiply the whole fraction with such a number that the denominator becomes 100.
Hence, the percentage of marks received by Sanjana is 64%.
How to Calculate Percentage From Marks: Summary
As we have learned all the cases of how to find the find percentage of marks, we can summarise all these three cases below.
Cases | Procedure |
---|---|
When Total Marks are 100 | The numerator of the fraction of marks gives the percentage. |
When 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 Total Marks are a Factor of 100 | The whole fraction of marks is multiplied with 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 (Semester Grade Point Average)
How to Calculate Percentage Change?
When a quantity or a value changes in terms of percentage over a period of time, the amount of change occurred can be expressed by a percentage change. The formula to calculate a change in percentage is given below.
Therefore, the increase and decrease in the percentage can be calculated as explained ahead.
How to Calculate Percentage Increase?
Percentage increase is referred to as an increase in the percentage value of a given quantity over a period of time. The calculation of percentage increase can be useful when determining a change in percentage of large quantities over a period of time such as the change in population or the change in bacterial growth over a period of time.
The percentage increase formula is given below.
For example, consider that the total population of a town has increased from 1500 to 2500 people. Then, the calculation of percentage increase in the total population of the town is shown in the image below:
So, the above calculation indicates the percentage increase in the population of the town is 66.66%.
How to Calculate Percentage Decrease?
Percentage decrease is referred to as a decrease in the percentage value of a given quantity over a period of time.
The percentage decrease formula is given in the image below.
For example, consider that the total number of students in a school has decreased from 750 to 550. The percentage decrease in the total number of students in that school can be calculated as given below.
So, the above calculation indicates that the percentage decrease in the total number of students in the given school is 26.66%.
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 percentage, the students must be aware of the total marks.
For example, Rohan received 64% marks on his test which was scored out of a total of 25 marks. Thus, the marks obtained by Rohan can be determined as:
Hence, Rohan must have obtained 16 marks on his test.
So, this was all about how to find 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 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
Q. How to convert grade into percentage?
A. Indian universities typically use a 10-point CGPA scale. To convert your CGPA to a percentage, multiply your CGPA by 9.5. For example, a CGPA of 9.0 would be equivalent to 85.5%.
This conversion is important because many universities abroad use a different grading system, such as a 4.0 GPA scale. By converting your CGPA to a percentage, you can compare your academic performance to the standards of international universities.
Q. How to find percentage of marks from CGPA?
A. The method to convert CGPA to percentage varies depending on the scale used.
-
For a 10-point CGPA scale:
- The common formula to convert CGPA into percentage of marks is:
- Percentage = CGPA * 9.5
- For example, if your CGPA is 8.5, then the percentage of marks would be 8.5 * 9.5 = 80.75%.
- The common formula to convert CGPA into percentage of marks is:
-
For a 4-point CGPA scale:
- The common formula to convert CGPA into percentage of marks is:
- Percentage = (CGPA / 4) * 100
- For example, if your CGPA is 3.2, then the percentage would be (3.2 / 4) * 100 = 80%.
- The common formula to convert CGPA into percentage of marks is:
The conversion factor might differ depending on the specific grading system used by your institution. Additionally, if you want to calculate exact marks, you will need to know the maximum marks for each subject.
Q. How to calculate percentage of marks in Excel?
A. You can make calculations like calculating the percentage of marks in Excel sheet using certain formulas. To calculate the percentage of marks in Excel, the formula that you will is:
Formula for the Percentage of Marks in Excel = (Obtained Marks / Total Marks) * 100
The steps involved in calculating the percentage of marks in Excel sheet are given below.
-
Set up your data:
- Create separate columns for Subject, Obtained Marks, and Total Marks.
- Input the corresponding data for each subject in these columns.
-
Create a column for Percentage:
- Add a column named "Percentage."
-
Apply the percentage calculation formula for Excel:
- In the first cell of the "Percentage" column, enter the following formula (adjust cell references as needed):
- =(B2/C2)*100
- Here, B2 is the cell containing the obtained marks for the first subject, and C2 is the cell containing the total marks for the same subject.
- In the first cell of the "Percentage" column, enter the following formula (adjust cell references as needed):
-
Copy the formula:
- Copy the formula down the "Percentage" column for all subjects.
-
Format as percentage:
- Select the entire "Percentage" column.
- Click on the percentage format button in the "Number" group on the Home tab.
For example, the percentage of marks calculated by applying the above formula in Excel will give results as in the table below.
Calculation of Percentage of Marks in Excel | |||
---|---|---|---|
Subject | Obtained Marks | Total Marks | Percentage |
Math | 85 | 100 | 85% |
Science | 72 | 100 | 72% |
English | 90 | 100 | 90% |
Q. How to calculate percentage of marks of the best of 5 subjects?
A. As per the common criteria, the best of five subjects include one language subject, i.e. English (or, the one as per the school/exam board), and 4 other subjects in which the student has obtained the highest marks. The marks obtained in subjects other than these are not considered for the “best of five” or the main percentage.
The percentage of the best of five can be calculated by dividing the total marks obtained in the best of five subjects divided by the total marks for these subjects and multiplying these marks by 100.
Q. What is the difference between percentage and percentile?
A. The difference between percentage and percentile is that the percentage can be calculated by multiplying 100 with a fraction. However, the percentile cannot be determined in a similar way. The percentage on one hand can be written as ratio or proportion while the percentile cannot be written in terms of ratios or proportions.
Q. How to calculate percentage of marks of 10th class?
A. Below are the steps to calculate the percentage of marks in class 10th:
- Find the total marks you scored in all subjects.
- Find the total maximum marks possible for all subjects (sum of maximum marks in each subject).
- Divide the total marks by the total maximum marks and multiply by 100.
Example: If you scored 480 marks out of a maximum of 600, your percentage = (480/600)*100 = 80%.
Q. How to convert class 12th marks into percentage?
A. To calculate the percentage of marks in class 12th, follow the below-given steps:
- Add up the marks obtained in all subjects.
- Determine the total maximum marks possible.
- Divide the sum of marks obtained by the total maximum marks.
- Multiply the result by 100 to get the percentage.
The percentage formula is:
Percentage = (Total marks obtained / Total maximum marks) × 100
For example, if you scored 450 marks out of a possible 500:
Percentage = (450 / 500) × 100 = 90%
Q. How to calculate percentage of marks of 6 subjects?
A. To calculate the percentage of marks for 6 subjects, follow the below-given steps:
- Add up the marks you obtained in all 6 subjects.
- Determine the total maximum marks possible for all 6 subjects combined.
- Divide the sum of your obtained marks by the total maximum marks.
- Multiply the result by 100 to get the percentage.
The percentage formula to calculate percentage of marks of 6 subjects becomes:
Percentage = (Total marks obtained in 6 subjects / Total maximum marks for 6 subjects) × 100
For example, if each of the 6 subjects is scored out of 100 marks, and you scored:
Subject 1 = 85 marks
Subject 2 = 92 marks
Subject 3 = 78 marks
Subject 4 = 88 marks
Subject 5 = 95 marks
Subject 6 = 83 marks
Then, according to the steps mentioned above:
- Total marks obtained: 85 + 92 + 78 + 88 + 95 + 83 = 521
- Total maximum marks: 100 × 6 = 600
- Percentage = (521 / 600) × 100 = 86.83%
Remember to check if your board has any specific calculation methods or weightings for different subjects.
Q. How to calculate percentage of marks of 5 subjects?
A. To calculate the percentage of marks for 5 subjects, follow these steps:
Step 1: Add up the marks obtained in each subject.
Step 2: Divide the total marks obtained by the maximum possible total marks.
Step 3: Multiply the result by 100 to get the percentage.
Here's an example of the calculation of the percentage of marks of 5 subjects:
If you obtained the following marks in 5 subjects:
- Subject 1: 85
- Subject 2: 90
- Subject 3: 75
- Subject 4: 88
- Subject 5: 92
Step 1: Add up the marks: 85 + 90 + 75 + 88 + 92 = 430
Step 2: Assume the maximum possible marks for each subject is 100. So, the maximum possible total marks for 5 subjects would be 500. Divide the total marks obtained by the maximum possible total marks: 430 / 500 = 0.86
Step 3: Multiply the result by 100 to get the percentage: 0.86 * 100 = 86%
Therefore, your overall percentage for the 5 subjects is 86%.
Q. How to find percentage of an amount?
A. The percentage of an amount can be drawn by applying the following formula: (Actual(Given) Value/Total Value) x 100
Hence, suppose, you want to calculate the percentage of marks of a student who has scored 332 out of a total of 500 marks then, applying the percentage formula given above we get:
Actual Value/Total Value) x 100 = 332/500 x 100
= 66.4% marks
Q. How to find 20% of a number?
A. To find 20% of a number, you will have to multiply the number with 20/100.
Now, let us suppose, you wish to find 20% of 1500 then, that would be:
20/100 x 1500 = 300
Similarly, you can find 30%, 45%, or even 65% of a number by multiplying 30/100, 45/100, and 65/100 respectively with the given number.
Q. How is percentage score calculated?
A. The percentage score can be calculated by using the following formula:
Percentage/Percentage Score = (Total Marks Obtained/ Total Maximum Marks) x 100
Q. What will be 70 marks in percentage?
A. Considering the total marks to be 100 here, the fraction of the obtained marks and total marks becomes 70/100.
Hence, the percentage of 70 marks is 70%.
Q. How to calculate attendance percentage?
A. To calculate your attendance percentage, follow these steps:
- Count the number of classes you attended. This includes all the classes you were physically present for.
- Count the total number of classes held. This includes both the classes you attended and the ones you missed.
- Divide the number of classes attended by the total number of classes. This will give you a decimal number.
- Multiply the decimal number by 100 to get the percentage.
Here is the formula to calculate the attendance percentage:
Attendance Percentage = (Number of Classes Attended / Total Number of Classes) * 100
Now, let's understand this by an example. Suppose, you attended 25 out of 30 classes then, the percentage of classes attended can be calculated as:
- Attendance Percentage = (25/30) * 100
- Attendance Percentage = 0.8333 * 100
- Attendance Percentage = 83.33%
Therefore, your attendance percentage is 83.33%.
Q. How to calculate average percentage?
A. To calculate the average percentage, follow these steps:
- Gather the individual percentages: Collect all the percentages you want to average.
- Add the percentages: Sum up all the individual percentages.
- Divide by the number of percentages: Divide the total sum of percentages by the number of percentages you added together.
Here is the formula to calculate the average percentage:
Average Percentage = (Sum of All Percentages) / (Number of Percentages)
Now let's take an example to understand it:
Suppose you have three percentages: 70%, 80%, and 90%, then the average percentage would be:
Average Percentage = (70% + 80% + 90%) / 3 = 80%
Q: Is university of West of Scotland good for international students?
The University of the West of Scotland has five modern and diverse campuses in United Kingdom. The University has welcomed more than 3,000 international students which are representing 1/3 of the globe. They also have 130 European partners who are actively in global study and exchange options through the Commonwealth universities programmes. The University also offers study abroad opportunities for UWS who are eligible for the same and also have more than 20 transnational education partners worldwide which helps them deliver UWS Bachelors and Masters Degrees around the world.
Q: What rank is Wolverhampton University in UK?
The University of Wolverhampton is one of the best universities in the United Kingdom. The university is consistently ranked among the best universities nationally and globally. For nearly 200 years, the University of Wolverhampton has been consistently providing a quality of education to students and producing highly skilled graduates. The national rankings of the University of Wolverhampton are given below:
Ranking Body | Ranking |
---|---|
The Guardian University Guide 2024 | #101 |
The Complete University Guide 2024 | #117 |
Q: Why indian students choose to study at Hult International Business School - UK?
Indian students choose to study at Hult International Business School in the UK for several reasons, including its highly ranked programs, global outlook, and career support. Hult offers a range of full-time master’s degrees, immersive bachelor's programs, and MBA options that prepare students to excel in the global job market. The school is the largest and top-ranked global business school, providing students with an incomparable universal outlook. Additionally, Hult's focus on experiential learning, extensive career support, and the opportunity to study at multiple campuses around the world are attractive to Indian students seeking a global business education. Furthermore, the school's emphasis on innovation and meeting the needs of students and employers may also contribute to its appeal to Indian students
Q: How to prepare for UK 10th board exam 2025?
Those who are preparing for the UK Class 10 exam 2025 are recommended to follow the tips below.
- Know the exam pattern
- Make a proper time table as per the syllabus
- Solve previous year question papers
- Make short notes of important formulas and theorems
- Revise regularly
- Figure out weaker areas and learn them well
With proper planning and hard work, students can easily clear the UK 10th board exam.
Q: How to download UK Board 12th date sheet 2024?
Following are the steps to download the UK 12th date sheet 2024.
- Open the Uttarakhand Board's official website at ubse.uk.gov.in
- Click on 'Examination Scheme' available on the homepage
- A new window will appear on the screen containing a link of the UK Board 12th date sheet 2024
- Click the link and download the Uttarakhand 12th date sheet 2024
Q: How can I get a 100% scholarship to study in UK?
Yes, it is possible to get 100% scholarships to study in the UK. There are various external funding agencies that offer 100% scholarships to international students to study in the UK. Three main UK government scholarships for international students are;
However, to get 100% scholarships to study in the UK, international students must meet all the eligibility criteria and apply within the deadlines.
Q: How to prepare for UK 10th board exam 2025?
Those who are preparing for the UK Class 10 exam 2025 are recommended to follow the tips below.
- Know the exam pattern
- Make a proper time table as per the syllabus
- Solve previous year question papers
- Make short notes of important formulas and theorems
- Revise regularly
- Figure out weaker areas and learn them well
With proper planning and hard work, students can easily clear the UK 10th board exam.
Q: Does the University of Essex require IELTS?
International students whose native language is not English must meet the University of Essex English language requirements to get admission. The university accepts IELTS scores as proof of English language proficiency. Mentioned below are the IELTS scores required for UG and PG admission at the university:
English Language Test | Score |
---|---|
IELTS | Overall score of 5.5 to 8.0 with minimum of 5.5 to 7.5 in each section |
The university also accepts the score of other English language tests such as TOEFL and PTE for admission to undergraduate and graduate programs:
English Language Test | Score |
TOEFL iBT | Overall score of 72 to 114 |
PTE | Overall score of 59 to 84 with minimum of 59 to 80 in each section |
Also read: Required IELTS Score for UK Universities
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