How to Calculate Percentage of Marks?

As a student we often find mathematics a tough nut to crack but it can be very easy if you understand the basics at first and to help you understand in this article “ How to calculate percentage of marks? “ Formfees is going to provide all the necessary details about percentage, or marks to percentage that can help you calculate percentage of marks

It is important to learn how to apply the formula here provided in the article on How to calculate the percentage of marks and to find the percentage of marks we only need the basic arithmetics with proportions which is required. 

READ: Here is all you need to know about the Aggregate Percentage 

How can we know the percentage?

To put it in a simple way: in math “ Percentage “ is the way of expressing a number or a ratio as a fraction of 100. This  "%" particular sign is depicted as a percent sign and Percentage is also denoted using these short forms like "pct.", "pct" and "pc".   

Percentage is mainly used to depict the change of number from another number, and you don't have to worry in case the explanation doesn't work for you, we have also listed some of the examples on How to calculate percentage of marks below.

How to Calculate Percentage of Marks

Below are the steps on How to calculate percentage of marks (marks to percentage):

You can calculate the percentage of marks by using these two steps.

Step 1: Firstly, you need to divide the  marks achieved by the maximum marks of the test/exam.

Step 2: Secondly, you need to Multiply the result by 100.

Let us understand how to calculate a student's percentage of marks. I.E. the total number of marks obtained should be divided by the maximum marks, and then multiplied by 100.

The formula for percentages is: (Actual Value) / (Total Value) × 100 = Percentage

Examples: 

Steps:

• Step 1: Let's take a student who has a score obtained in 3 subjects that are different: 

90 out of 100 in Hindi, 

80 out of 100 in English, and 

70 out of 100 in Social Science.

• Step 1: So the first thing you'll need to do is to add the total marks obtained like this: (90+80+70), that will be 240. Total marks of exams (100+100+100) = 300.
  
• Step 1: lastly you have to apply this formula - (Actual Value) / (Total Value) × 100 = Percentage LIKE: Divide 240 by 300, and then multiply it by 100.

The Solution below can help you figure out the digits involved:

Percentage of marks = (240/300) x 100
Percentage = 0.80 x 100
Therefore, the percentage of marks obtained is 80%.

And through this formula you can easily calculate the percentage of marks, which is easy to understand, will help in assisting you in determining and answers your question to: “ How to calculate percentage of marks ” 

BELOW YOU CAN CHECK THE ADDITIONAL INFORMATION Marks to Percentage:

Advantages of Understanding Percentage

• Understanding the basics is always necessary for Better self-assessment
• Understanding Percentage can be useful and it will be easier for you to set an aimed score.
• Having a decent knowledge about Understanding Percentage can be effective for personal financial decision-making
• Percentage can help you evaluating competitors and finalizing competitive product pricing
• Understanding Percentage may help you in Functional trend analysis
• Percentage is extremely beneficial when it comes to the Practical understanding of applying statutory taxation rates (GST, Income tax, VAT) etc.

In case you want to know:

How to calculate the percentage of 10th/12th class marks?

The easiest way to understand How to calculate the percentage of 10th/12th class marks is by doing the following steps.

Percentage = (Sum of the marks obtained in all the subjects (out of 100)/ & sum of the maximum marks of all subjects) x 100

Suppose you scored 470/500 marks

Then the Solution to it is :

Sum of marks scored in all the subjects = 470

Sum of maximum marks of all subjects = 500

Therefore, your 10th or 12th percentage = (470/500) x 100 = 94%

What is the Difference Between Percentage and Percentile?

People get confused when we talk about percentage and percentile in most cases. But you need to know that Both - Percentage and Percentile are different. 

Check the Difference Between Percentage and Percentile:

S.No	Percentage	Percentile
1	Percentage represents the number “ out of 100 “.	Percentile however is not a number out of 100.
2	Percentage can be written as ratios or in proportions.	Percentiles can’t be written as ratios or proportions.
3	Percentage is obtained by multiplying the ratio of two numbers with 100.	A percentile is a percentage of values that can be found below a specific value.
4	It is not based on ranking numbers.	It is based on ranking numbers.
5	It is written in the form of X%.	It is written in the form of XTH.
6	It is based on one case.	Comparison of one case with another.

Check: How to Calculate Percentage Increase

Below we have provided some information on Calculate Percentage Increase. Percentage Increase describes the change from the original value to the final value expressed in percentages. Using the following formula, we can calculate the relative change:

Percentage Increase (% Increase) = (Increase in Quantity x 100)/ Initial value

Here, increase in quantity = Final value - initial value.

How to Calculate the Percentage Decrease

Calculate the Percentage Decrease: the percentage decrease from the initial value to the final value expressed as a percentage. Here is the formula for calculating the relative change:

Percentage Decrease (% Decrease) = (Decrease in Quantity x 100)/ Initial value

Here, decrease in quantity = Initial value - final value.

Calculate Percentage of a Number 

What is the formula for finding the percentage of marks or any number? These two methods can be used to calculate the percentage of any number. The first method is called fraction form. A fraction number can be converted into decimal and multiplied by 100 after it is converted into decimal form. Using 46/50 as an example, you will get 0.92 as the result of converting it into percentage. By multiplying it by 100, you get 92%.

Decimal form is the second method. A decimal number can be multiplied by hundred if it is in decimal form. In this case, 0.863 x 100 = 86.3% for the number 0.863.

Important Percentage Conversion Table

Conversion	Procedure	Conversion	Procedure
Fraction to Percentage	Express the number as a fraction multiply the fraction by 100	Percentage into fraction	Reduce the number into decimals and multiply the fraction with 100
Decimal to Percentage	Multiply the decimal with 100	Percentage into Decimal	Divide percentage by 100 & reduce the fraction into a decimal.
Ratio to Percentage	Express the number as a fraction and 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 fractionMultiply 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.

Conclusion - 

Guidelines for calculating the percentage of marks:

1. You can calculate 50% of a number by dividing it by 2. Two divided by 24 equals twelve, for example.
2. One-tenth means one-tenth. If you Divide a number by 10 to get 10% of it, or shift the decimal point to the left. For example, ten percent of 130 is 130 divided by ten.
3. While you calculate a percentage greater than 100 percent, you need to move the decimal point two spaces to the left and multiply the result by the original number.

Some Key takeaways

1. To conclude we can say that mathematically, percentages are expressed as the ratios or numbers that are fractions of 100.
2. Percentage is indicated by “%” or “percent.”
3. Calculating a percentage you can determine the  portion of a whole in terms of 100. You can easily calculate percent that can be calculated manually or with the aid of online calculators.

Frequently Asked Questions about How to Calculate Percentage of Marks?

Q. How to calculate the percentage of marks of 6 subjects?

Ans. To calculate percentage of marks of 6 subjects you can do the following for example - 

Let's take the scores as 94, 84, 75, 81, 98, and 78 in 6 subjects respectively. Then you need to Calculate the sum/total of the marks (94 + 84 + 75 + 81 + 98 + 78 = 510) and then you need to divide it by the total achievable marks, which is 600, so the equation will be (510/600 = 0.85). When you multiply the result by 100 you get your percentage which is 85.

Q. Is it possible to have Percent More Than 100?

Ans. The answer to it is, Yes, the percentage can be more than 100 when we have a value more significant than the total value.