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How to calculate percentage of marks: A comprehensive guide

Chris Tucker
Chris Tucker
Last updated: Nov 16, 202211 min read

If you're a student, chances are you've had to calculate your percentage of marks at some point. Whether you're trying to figure out how well you did on a test or assignment or calculating your overall grade for a course, it's important to know how to do this correctly.

Don't worry - we're here to help! In this blog post, we'll walk you through the steps for calculating the percentage of marks. By the end of this post, you'll be an expert at knowing how to calculate your percentages!

Understand what percentage is and what it means?

Percentages are used to express how often something happens out of 100.

For example, if 20 people out of 100 attend university, we would say that the percentage of people who attend university is 20%.

Percentages are used a lot in everyday life. For example, we often talk about what percentage of people voted in an election, what percentage of people are employed, or what percentage of people have a certain disease.

Knowing how to calculate percentages can be very useful in many real-world situations.

How to calculate the percentage of marks?

You can follow an easy formula to calculate the percentage of marks.

Simply take the total marks you earned and divide them by the number of marks available. With this figure, multiply it by 100, which will be your percentage.

The formula would look like this:

(Total marks earned/marks available) X 100 = Percentage of marks

Let's take a look at a few examples.

Example 1:

Say I scored 57 marks on a test out of 112.

I would take the marks I earned, 57, and divide this by the marks available, 112.

57/112 = 0.51

You then take this figure and multiply it by 100.

0.51 x 100 = 51%.

The result is your percentage of marks. So in this test, I would have scored 51%.

Example 2:

Let’s say I scored 67 on a test out of 82.

I divide the marks I earned, 67, by the marks available, 82.

67/82 = 0.82

I then multiply this by 100 for my percentage of marks.

0.82 x 100 = 82%.

Difference between percentage and percentile

A percentage is a ratio where the two quantities are measured out of 100.

The term percent is derived from the Latin word "per centum," which means "by the hundred." Percentages are used to express how large or small one quantity is relative to another quantity.

For example, if 60% of students in a class are female, then there are 60 females out of 100 students. In other words, the quantity of females is 60/100 of the total number of students in the class.

Percentile is a statistic metric that measures the value below which a certain percentage of observations fall.

For instance, if the 95th percentile score on a test is 80%, 95% of test takers score below 80%.

The percentile rank is often used to report results from competitive exams such as college entrance exams. It can also be used to compare different groups of people, such as men and women or ethnic groups.

How to calculate percentage increase?

It is very simple to calculate the percentage increase.

If you're given two numbers, the first of which is the original value and the second of the new value, you want to find the difference between the two figures. You can calculate this by subtracting the lower number from the highest number.

For example, let's say someone's salary increased from $50,000 to $60,000.

The original value is $50,000, and the newest value is $60,000.

To find the difference, we take the highest figure out of these two numbers and minus the lowest number.

$60,000 - $50,000 = $10,000

You then take this figure and divide it by the original number.

$10,000 / $50,000 = 0.2

Then multiply the result by 100 to get the percentage increase.

0.2 x 100 = 20%

So the percentage increase, in this case, is 20%.

It could be summarised as follows:

Step 1: Find the difference (Highest number - lowest number)

Step 2: Divide the difference by the original number (Difference / original number)

Step 3: Multiple the result by 100 (Result x 100).

How to calculate percentage decrease?

To calculate the percentage decrease, you follow the same step-by-step process as above.

You want to find the difference between the two numbers, divide the difference by the original value, and then multiply this by 100.

For example, let's imagine someone's salary dropped from $30,000 to $25,000.

The original value would be $30,000 and the new value is $25,000.

We first want to find the difference between the two figures by taking the highest figure and subtracting the lowest figure.

  • $30,000 - $25,000 = 5,000

Then take the difference and divide it by the original number.

  • $5,000 / $30,000 = 0.17

Finally, we multiply the result by 100 to get the percentage decrease.

  • 0.17 x 100 = 17%

So the percentage decrease is 17%.

The percentage decrease formula would follow this process:

  • $30,000 - $25,000 = $5,000
  • $5,000 / $30,000 = 0.17
  • 0.17 x 100 = 17%

So the percentage decrease is 17%.

It can be summarised as follows:

Step 1: Find the difference (Highest number - lowest number)

Step 2: Divide the difference by the original number (Difference / original number)

Step 3: Multiple the result by 100 (Result x 100).

How to calculate the percentage of a number?

To calculate the percentage of any number, we need to divide the number by 100 and then multiply it by the desired percentage.

For example, to calculate 50% of 60, we would divide 60 by 100 to get 0.6, and then multiply that by 50 to get 30. The final answer would be 30%.

How to convert a fraction to a percentage?

You can use a few different methods to convert fractions to percentages.

The first method is to multiply the fraction by 100. For example, if you want to convert the fraction ¾ to a percentage, you would multiply it by 100 to get 75%.

Another method is to divide the fraction's numerator (top number) by the denominator (bottom number) and then multiply that answer by 100. Using the same fraction ¾, you would divide 3 by 4 to get 0.75 and then multiply that by 100 to also get 75%.

What is the difference between a percentage and a fraction?

A percentage is a number that represents a fraction of 100. For example, if you have 50% of something, you have half of it.

A fraction, on the other hand, is a number that represents a part of a whole. For example, if you have 1/2 of something, you have one out of two parts.

When you're working with percentages, it's important to remember that 100% represents the entire amount. And when you're working with fractions, it's important to remember that the bottom number (the denominator) represents the whole amount.

Understanding these concepts will help you solve problems more easily.

How to convert a decimal into a percentage?

Converting a decimal into a percentage is pretty simple.

First, multiply the decimal by 100. This will give you the number of cents. Then, add a "%" sign to designate that it is a percentage.

For example, if you have a decimal of 0.05, multiplying it by 100 would give you 5. To convert this to a percentage, you would add the "%" sign, giving you 0.05%.

Easy, right? This method can be used for any decimal, whether small or large.

Important percentages conversion table

FractionDecimalPercentage
1/20.550%
1/30.3333.33%
1/40.2525%
1/50.220%
1/100.110%
1/200.055%
4/100.440%
6/100.660%
7/100.770%
8/100.880%
9/100.990%

How to calculate percentage of marks of 12th or 10th class

To calculate your percentage of marks, you'll need to know two things: the total number of marks possible for the exam and the number of marks you earned. (To find the total number of marks possible, you can check your school's website or contact your teacher.)

Once you have that information, simply divide the number of marks you earned by the total number of marks possible. 

Then, multiply that number by 100 to get your percentage. 

For example, if you earned 80 out of 100 possible marks, your calculation would look like this:   
80/100*100 = 80%. 
So, in this case, you would have earned an 80% on the exam.

FAQs

How to calculate the percentage of marks of 6 subjects?

There are a few different ways to calculate your percentage of marks, and the method you use will depend on the information you have. If you know your total marks for the semester and the weight of each class, then you can simply multiply your total marks by the weight of each class.   

For example, if you have a total of 100 marks and your classes are weighted at 50%, 30%, and 20%, then your percentage would be ((100*50)+(100*30)+(100*20))/300, or 60%. However, if you only know your percentage for each class, then you can add up all of your percentages and divide by the number of classes. 

For example, if you have three classes and your percentages are 90%, 85%, and 80%, then your average would be ((90+85+80)/3), or 85%. Finally, if you only know your letter grade for each class, then you can use a conversion chart to find out what percentage that grade corresponds to.  

For example, if you have three classes and your grades are A+, A, and B+, then using a conversion chart, you would find that those grades correspond to percentages of 96%, 90%, and 87%. Therefore, your average would be ((96+90+87)/3), or 91%. As you can see, there are a few different ways to calculate your percentage of marks, depending on the information that you have.

How to take out percentage of marks?

To take out a percentage of marks, first convert the marks to a fraction. To do this, divide the number of marks by the total number of marks possible.  

For example, if you have 80 out of 100 marks, your fraction would be 80/100. You can then convert this to a percentage by multiplying by 100.   

In this example, 80/100 would become 0.8 x 100, which is equal to 80%. To make things easier, you can also use a calculator with a percentage button. Simply divide the number of marks by the total number of marks possible, and then hit the percentage button. This will give you the answer in percentage form!

How to find percentage of marks of all subjects?

When it comes to working out your percentages, the process is relatively simple. First, add up all the marks you've received for each subject. Then, divide this number by the total number of possible marks.   

For example, let's say you got 60 out of 100 possible marks for math, and 80 out of 100 possible marks for English. To find the percentage for each subject, you would divide 60 by 100 (which equals 0.6), and then multiply this by 100. This would give you a final answer of 60%. For English, you would divide 80 by 100 (which equals 0.8), and then multiply this by 100. This would give you a final answer of 80%. So, in this example, your percentage for math is 60%, and your percentage for English is 80%. Remember, if you're ever unsure about how to calculate percentages, there are plenty of online calculators that can do the work for you! Just type in your numbers, and let the calculator do its thing.

What is 40% of 70 marks?

To get 40% of 70 marks, you need 28 marks. This is because 40% is the same as saying "40 out of 100," so you're looking for the equivalent portion of 70. To do this, you can set up a proportion: 40/100 = x/70. Cross-multiply to solve for x, and you get x = 28. In other words, 40% of 70 is the same as 28/70, or 28 marks out of 70.

How do you calculate 40% of a mark?

To calculate 40% of a mark, you first need to convert the percentage to a decimal. To do this, you simply move the decimal point two places to the left. So, 40% would become 0.40. Once you have the decimal, you can multiply it by the total number of marks.  

For example, if you're trying to find 40% of 80 marks, you would multiply 0.40 by 80. This would give you the answer of 32 marks. You can also use this method to calculate other percentages. For instance, to find 10% of a mark, you would convert the percentage to a decimal (0.10) and then multiply it by the total number of marks.

What is 35% of 70 marks?

To get 35% of 70 marks, you would first need to convert the percentage into a decimal by moving the decimal point two places to the left. This would give you 0.35. You would then multiply this number by 70 to get the answer, which would be 24.5 marks. So, if you got 24.5 marks out of 70, you would have gotten 35%.

What is 20% of 50 marks?

20% of 50 marks would be 10 marks. To calculate 20% of any number of marks, you first need to convert the percentage into a decimal. To do this, you divide 20 by 100. This gives you 0.2. You then multiply this decimal by the number of marks, in this case 50. This gives you your answer of 10 marks. Remember, when working with percentages it is always important to convert to a decimal first!

What is 80% of 50 marks?

80% of 50 marks would be 40 marks. To calculate this, you first need to convert the percentage into a decimal by moving the decimal point two places to the left. So 80% would become 0.8. You then multiply this by the total number of marks, which in this case is 50. This gives you the answer of 40 marks. Remember, if you're ever unsure about how to calculate something like this, there are plenty of online calculators that can do the work for you. Just type in "80% of 50 marks" and you'll get your answer in no time!

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Written By
Chris Tucker

The Content Manager of Edvoy based in Manchester.

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