How to Calculate Percentage of Number – Full Explanation

How to Calculate Percentage of Number
How to Calculate Percentage of Number

If you are a student, chances are that you will have to calculate your percentage of marks at some point of time. Whether you’re trying to find out how well you did on an exam or assignment or calculate your overall grade for a course, it’s important to know how to do it right. We’ll discuss in detail about How to Calculate Percentage of Number.

You can follow a simple formula to calculate the percentage of marks.

Take the total marks earned and divide it by the obtained marks . Multiply it by 100, find result is your percentage.

The formula would look like this:

Percentage of Marks = (Marks Obtained / Total Marks) X 100

Don’t worry – we’re here to help! In this post, we will take you through the steps to calculate percentage of marks. By the end of this post, you will be an expert in knowing how to calculate your percentage!

Try to Understand about meaning of percentage :

Percentage is used to express how many times out of 100 something occurs.

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

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

Knowing how to calculate a percentage can be very useful in many real world situations.

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How to Calculate Percentage of Number

How to calculate marks percentage?

Formula of Percentage :

To calculate the percentage of marks, take the total marks obtained by you and divide it by the number of total marks. Multiply it by 100, and find result will be your percentage.

The formula is given as :

Percentage of marks = (Marks obtained/ Total marks) X 100

Let’s take a few examples.

Example 1:

Let us consider I scored 63 marks on a test out of 80.

To calculate the percentage I would take the marks I earned, 63, and divide by total marks 80.

63/80 = 0.7875

now take this figure and multiply it by 100.

0.7875 x 100 = 78.75 %.

This obtained result (78.75 %) is your percentage of marks. So in this test, I would have scored 78.75 %.

Example 2:

Let’s suppose I scored 54 on a test out of 110.

I divide the marks 54, by the total marks 110.

54 / 110 = 0.4909

now multiply this by 100 for the percentage of marks.

0.4909 x 100 = 49.09 %

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Difference between percentage and percentile :

Percentage :

Percentage is a ratio where two quantities are measured out of 100.

The word percentage is derived from the Latin word “per centum”, meaning “by one hundred.” Percentages are used to express how large or small one quantity is relative to another quantity.

For example, if 55% of the students in a class are female, then out of 100 students, 55 are female. In other words, the number of females in the total number of students in the class is 55/100.

Percentile :

A Percentile is a comparison score and statistical metric that measures the value below which a certain percentage of observations fall.

For example, if the 95th percentile score on an exam is 80%, then 95% of test takers score below 80%.

Percentile ranks are often used to report the results of competitive examinations such as college entrance exams. It can also be used to compare different groups, such as men and women or ethnic groups.

How to calculate increase in percentage?

It is very simple to calculate increase in percentage.

If you have two numbers, first number is the original value and the second number is new value. You would like to find the increase in percentage between these two numbers. You can calculate it by subtracting the lower number from the larger number and then multiply the result by 100.

For example, let’s consider someone’s salary increases from ₹ 40,000 to ₹ 50,000.

The original price is ₹ 40,000, and the latest price is ₹ 50,000.

To find the difference, we take the higher number from these two numbers and subtract the lower number.

₹ 50,000 – ₹ 40,000 = ₹ 10,000

take this figure and divide it by the original number.

₹10,000 / ₹40,000 = 0.25

now multiply the obtained result by 100 to get the increase in percentage.

0.25 x 100 = 25%

hence the increase in percentage is 25%.

It can be summarised in few steps:

Step 1: Find the difference (Larger number – lower number)

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

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

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How to calculate decrease in percentage?

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

If you have two numbers, first number is the original value and the second number is new value. You would like to find the decrease in percentage between these two numbers. You can calculate it by subtracting the lower number from the larger number and then multiply the result by 100.

For example, let’s consider, someone’s salary decreases from ₹ 50,000 to ₹ 45,000.

The original price is ₹ 50,000, and the latest price is ₹ 45,000.

To find the difference, we take the higher number from these two numbers and subtract the lower number.

₹ 50,000 – ₹ 45,000 = ₹ 5,000

take this figure and divide it by the original number.

₹5,000 / ₹50,000 = 0.1

now multiply the obtained result by 100 to get the decrease in percentage.

0.1 x 100 = 10%

hence the decrease in percentage is 10%.

It can be summarised in few steps:

Step 1: Find the difference (Larger number – lower number)

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

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

Method to convert a fraction into percentage?

You can use some different methods to convert fractions to percentages.

First Method :

The first method to convert a fraction into percentage is to multiply the fraction by 100.

For example, if you have to convert the fraction 4/5 into percentage, then you have to multiply it by 100 to get 80%.

Second Method :

Second method is to divide the fraction’s numerator by the denominator and after that multiply the result by 100.

In the same fraction 4/5, you would divide 4 by 5 and get 0.8 now multiply 0.8 by 100 and get also 80%.

Difference between percentage and fraction?

The number, in fraction of 100 is percentage. For example, if you have 50% of something, you have half of it.

On the other hand, A fraction is a part of a whole.

As example, if you have half of something then you have one half of two.

When you have to find percentages then it’s important to remember that 100% represents the whole amount, and similarly in fractions, it’s important to remember that the denominator represents the whole amount.

How to convert a decimal into a percentage?

To convert a decimal into percentage is so easy.

First of all, multiply the given decimal by 100. You will will get the number of cents. After that use a “%” sign to designate that it is a percentage value.

As example, if you have a decimal 0.25. Multiply 0.25 by 100, you will get 25. To convert this to a percentage, use “%” sign, now you have 25%.

You can use this method for any decimal, whether small or large.

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 Number

How to calculate percentage of total marks in your report card :

To calculate the percentage of marks, you will need to know two things : the total possible marks for the exam and the number of marks you obtained.

Now divide the obtained marks by the total number of marks. Now multiply the result by 100 to get your percentage.

As example, if you obtained 70 out of 100 marks then calculate as given:  70/100*100 = 70%. 

Hence, you 80% marks in the exam.

How to calculate the percentage of marks obtained in 6 subjects?

There are some different method to calculate the percentage of marks which are depend on the information you have. If you know total obtained marks for the semester and the weighting of each class then you can multiply your total obtained marks by the weighting of each class.

As example, if you have a total of 100 marks and your classes are weighted at 60%, 30%, and 10%, then your percentage would be ((100*60)+(100*30)+(100*10))/300, or 33.33%.

If you know your percentage for each class, then you have to add all of your percentages and then divide by the number of classes. 

As example, if you have three classes and your percentages are 80%, 75%, and 70%, then your average would be ((80+75+70)/3), or 75%. If you have letter grade for each class, then you can use a conversion chart (given in report card) to find out what percentage that grade corresponds to.  

As example, if you have three classes and your grades are A+, A, and B+, then using conversion chart, you would find that those grades belongs to percentages of 86%, 80%, and 77%. Therefore, your average would be ((86+80+77)/3), or 81%.

How to calculate the percentage of marks in all subjects?

To calculate the percentage of marks in all subjects the process is relatively simple. First of all, add all the marks obtained in each subject. After that, divide this number by the total number and multiply by 100. Or after adding you can multiply by 100 and then divide by total marks .

For example, let’s assume you got 70 out of 100 marks for math, and 60 out of 100 marks for English. To find the percentage for all subject first add 70 and 60 you get 130. Now your calculation is : (130*100)/200 = 65%. Hence percentage of marks in both subjects is 65% . Similarly you can find the percentage for more subjects.

What is 30% of 80 marks?

To get 30% of 80 marks, you have need 24 marks. This is because 30% is the same as 30 out of 100, hence we are looking for the equivalent portion of 80. For this, you can set up a proportion: 30/100 = x/80. Do cross-multiply to find x, and you get x = 24. In other words we can say 30% of 80 is the same as 24/80, or 24 marks out of 80.

How to Calculate Percentage of Number

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