How to Calculate Percentage of Marks?

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How to Calculate Percentage of Marks

A lot of our school life and beyond is invested in making plans to score high marks to fetch a better percentage. The percentage that one score determines the career paths available for the candidate like the stream one would get in class XIth, the college, the course etc. But have you ever thought about how percentage being such a crucial part of your career, is calculated? It is an expression of a number in terms of fractions of 100. For all the students out there, wondering about how to calculate the percentage of marks, here is a blog that aims to shed light on the same procedure!

What is the Percentage?

Percentage means to express a number or ratio in the form of fractions of 100. In simpler words percentage can be determined as, how much of one entity is made by the other entity and it is calculated in relation to 100. Commonly, it is denoted with the sign ‘%’. Generally, the abbreviations used to denote it are ‘pc’ or ‘pct’.

Find out How to Convert SGPA to CGPA!

Formula to Find Percentage of Marks

Are struggling with how to calculate the percentage of marks? You must begin by understanding the various elements of the percentage formula. It is quite simple to apprehend it, in order to calculate the percentage, the formula is equal to the ratio of the real value to the total value multiplied by 100. After the analysis, now let us have a look at the formula of percentage:

Percentage (%)=   (Quantity x 100)/ Total Quantity 

Now that you have a basic idea about how to calculate percentage of marks, below mentioned are some common variations of the above-mentioned formulas which may help you calculate your marks is some special cases. 

Example 1

A student scored 1000 marks in the examination out of 1200 marks. Calculate the percentage of marks secured by the student.

Solution:

Number of marks scored = 1000
Maximum marks = 1200
Percentage of marks =(1000/1200) × 100
Percentage of marks obtained is 83.3%

Example 2

Akash scored 90 marks in the examination out of 100 marks. Calculate the percentage of marks secured by Akash.

Solution:

Number of marks scored = 90
Maximum marks = 100
Percentage of marks =(90/100) × 100
Percentage of marks obtained is 90%

Also Read: Convert CGPA to Percentage

Percentage Increase

This formula can be put into use when the new value is greater than the original value. As there are changes in the elements, there will be a change in the percentage as well. Observe the formula mentioned below:

Percentage Increase (% Increase)=   (Increase in Quantity x 100)/ Total Quantity 
Here, Increase in Quantity=  New Quantity- Original Value

Percentage Decrease

Using the percentage decrease formula, you can solve all your queries about how to calculate percentage of marks. The appropriate situation wherein you can use this formula is when the quantity is less than the original quantity. Her is the formal=ula for the same:

Percentage Decrease (% Decrease)=   (Decrease in Quantity x 100)/ Total Quantity
Here, Decrease in Quantity=  Original Value – New Quantity

Also Read: How to Calculate CGPA in Engineering

How to calculate Percentage of Any Number

Converting marks into percentage gets easier while using the above-mentioned formula. Make sure that you jot down the marks carefully as discrepancies in the entries will provide you with wrong percentage or an invalid answer. Following are the two main methods you can opt to calculate the percentage:

Fraction Form

If in any case, you are provided with a data set wherein the final quantity of the after addition of all the entries come out to be in a fraction. Then, firstly, convert the number  into decimal form and then multiply with 100 the total value

Decimal Form  

When the final quantity is given in decimal form, it is easier to calculate the answer. Thus, to obtain the percentage of a given number, multiply the given number by 100.

For example: How to calculate the percentage of 0.78= 0.78x 100= 78%

Important Conversions

Convert into Percentage Procedure\(Multiply with 100) Convert from Percentage Procedure(divide by 100)
Fraction to Percentage Multiply the fraction with 100 Percentage into fraction Divide the percentage by 100 and reduce.
Decimal to Percentage Express the number as a fraction stepMultiply the fraction with 100 Percentage into Decimal Divide percentage by 100 & reduce
Convert the fraction into a decimal
Ratio to Percentage Express the number as a fraction
Multiply the fraction with 100
Percentage into Ratio Divide percentage by 100 Convert fraction into a ratio
Natural number to percentage Express the number as a fraction
Multiply the fraction with 100
Percentage into a natural number Divide the percentage by 100 and reduce.
If the denominator is one then the result is a natural number.

How to Calculate Percentage of Marks

By now you are equipped with the procedure to find the percentage of a given number. Now let us look upon how to calculate percentage of marks. To find your percentage acquired in the examination, you would have to divide the marks obtained with the total score of the examination and multiply it with 100. 

For Instance: Let us assume that you have scored 450 marks out of 500 in 5 subjects. 

Thus, 

Percentage (%)=   (Quantity x 100)/ Total Quantity 

= (450×100)/ 500
= 45000/500
= 90%

The answer is 90%, which means that you have scored 90% marks in your session.

Difference Between Percentage and Percentile

Percentage Percentile
 It is a number/ratio which is expressed as a fraction of 100 A percentile is a measure that is often used in statistics indicating the value in a group of observations fall
It is denoted by % It is denoted by xth
It can also be written in ratio and decimals and based on one case It can’t be written in ratios and decimals and is based on several cases
Percentages are not based on the rank of numbers A percentile is based on the rank of numbers
There is no dependency on a normal distribution. There is a dependency on the normal distribution.

Difference Between Percentage and Fraction

Percentage and fractions are similar yet have major differences. The fraction represents the portion of a whole that results from dividing two units by 100, whereas the percentage represents the portion of a whole multiplied by 100.

Practise Problems to Find Percentage of Marks

  1. Pallavi scored 55, 95, 98 in 53subjects of a monthly test in which the maximum marks for each subject is 70. Calculate the percentage of marks scored in 3 subjects.
  2. The price of a sports car was increased by 75.5% to Rs. 1 lakh. What was the original price?
  3. A student scored 1000 marks in the examination out of 1200 marks. Calculate the percentage of marks secured by the student.

Tips and Tricks On How to Calculate Percentage of Marks

  1. To calculate 50 percent of a number, divide it by 2. For example, 26 divided by 2 is 13.
  2. One tenth means one tenth. To calculate ten percent of a number, divide it by 10 or move the decimal point to the left a place. For instance, ten percent of 230 is 230 divided by ten.
  3. While calculating a percentage greater than 100 percent, you just have to move the decimal of the percent ​two spaces​ to the left and use the answer to multiply the number in question

FAQs

How is 12th Class Mark percentage calculated?

You have to calculate the total number of marks with the marks scored and then multiply by 100.

How do you calculate a 10th mark percentage?

You have to calculate the total number of marks with the marks scored and then multiply by 100.

How do you find the percentage of 6 subjects?

Add up the marks of all 6 subjects and maximum marks. Divide the scored marks with total marks and divide it by 100.

We hope you know how to calculate the percentage of marks! If you have any doubts related to career, courses and universities abroad, get in touch with Leverage Edu and get them resolved!

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