Education & Beyond

# How to Calculate Percentage of Marks

As students, we’ve all experienced the nerve-wracking process of waiting for exam results. Once the results are in, the next step is often calculating the percentage of marks we’ve achieved. This seemingly simple task can be fraught with confusion and uncertainty. It might be confusing if you’re not familiar with the process or the formula involved.

Calculating the percentage of marks a student has obtained can be daunting. Yet, with the right strategies and techniques, it can be a straightforward process. If you wonder, how to calculate percentage of marks read further.

In this blog, we’ll discuss the methods you can use to calculate the percentage of marks. We’ll also discuss the different factors that can affect the final result. We will learn how to ensure accuracy when calculating the percentage of marks.

## What is Percentage Calculation and How Does it Work?

Percentage calculation is a fundamental mathematical concept. It is used in a wide range of applications, from calculating exam scores to determining sales figures and inflation rates. Percentage calculation is a way of expressing a fraction as a percentage of the whole.

A lot of students’ common question is how to calculate percentage of marks. The process of calculating percentages involves three key elements: the part, the whole, and the percentage. The part refers to the fraction of the whole that you are interested in, while the whole is the total amount. The percentage is the part expressed as a percentage of the whole.

To illustrate this process, let’s use an example of a student who scored 75 out of 100 on a test. In this case, the part is 75, the whole is 100, and the percentage can be calculated using the following formula:

Percentage = (Part / Whole) x 100

So, to calculate the percentage of marks achieved by the student, we would divide 75 by 100 and multiply the result by 100, giving us:

Percentage = (75 / 100) x 100 = 75%

Thus, the student achieved a score of 75%, which can be used to assess their performance and track their progress over time.

It’s important to note that percentage calculation can be used for a wide range of fractions, not just those related to exam scores. For example, if a shopkeeper wants to calculate the percentage markup on a product, they would use the following formula:

Percentage Markup = ((Selling Price – Cost Price) / Cost Price) x 100

This formula allows the shopkeeper to determine the percentage. He can calculate the increase in price between the cost price and the selling price.

## How to Calculate Percentage of Marks: Step-by-Step Explanation

Calculating the percentage of marks is a common task for students and educators. Even elders often ask how to calculate percentage of marks as they fail to recall it. It involves determining the percentage of correct answers or scores on a test or assignment. Students and educators can understand their performance and set goals for improvement.

Step 1: Determine the Total Marks

The first step in calculating the percentage of marks is to determine the total marks for the test or assignment. This information is usually provided by the teacher or professor. For example, a math test may be worth 100 marks.

Step 2: Determine the Marks Obtained

The next step is to determine the number of marks obtained on the test or assignment. This is usually the number of correct answers or the total score. For example, if a student answers 75 out of 100 questions correctly, then their marks obtained are 75.

Step 3: Divide the Marks Obtained by the Total Marks

The third step is to divide the marks obtained by the total marks and multiply the result by 100 to get the percentage. The formula for calculating the percentage is:

Percentage = (Marks Obtained / Total Marks) x 100

Using the previous example, the calculation would be:

Percentage = (75 / 100) x 100 = 75%

So, the student obtained 75% on the math test.

Step 4: Interpret the Result

The final step is to interpret the result. In general, a higher percentage indicates better performance. Yet, the interpretation may vary depending on the specific context. For example, a score of 75% may be considered good in one class but below average in another.

## Calculate the Percentage using Formula

How to calculate percentage of marks of 6 subjects? The percentage formula is simple to use and involves three elements: the part, the whole, and the percentage. The part refers to the fraction of the whole that you are interested in, while the whole is the total amount. The percentage is the part expressed as a percentage of the whole.

The formula for calculating the percentage is:

Percentage = (Part / Whole) x 100

Let’s take an example to understand this better. If you scored 80 marks out of 100 in an exam, the formula for calculating your percentage would be:

Percentage = (80 / 100) x 100 = 80%

This means that you scored 80% on the exam.

Similarly, you can calculate the percentage increase in your salary. For example, after a raise of ₹ 500, and your old salary was ₹ 3000, you can use the following formula:

Percentage increase = (New salary – Old salary) / Old salary) x 100

Percentage increase = (₹ 3500 – ₹ 3000) / ₹ 3000) x 100 = 16.67%

So, your salary increased by 16.67% after the raise.

The percentage formula can also be used to calculate the percentage decrease in values. You can calculate the percentage decrease. For example, if there’s a discount of 20%, and the original price was ₹50, you can use the following formula:

Percentage decrease = ((Original price – Discounted price) / Original price) x 100

Percentage decrease = ((₹ 50 – ₹ 40) / ₹ 50) x 100 = 20%

So, the item is discounted by 20%.

## Calculate the Percentage of a Number

How to calculate percentage of marks or rather how to calculate the percentage of a number? Let’s start with the example of calculating the percentage of marks in an exam. Suppose you scored 80 marks out of 100. To calculate your percentage, you need to divide the marks you scored by the total marks and then multiply the result by 100.

Marks percentage calculator:

Percentage = (Marks scored / Total marks) x 100

Using this formula, we can calculate your percentage of marks as follows:

Percentage = (80 / 100) x 100

Percentage = 80%

Thus, your percentage of marks is 80%.

Now let’s take another example of calculating the percentage of a number. Suppose you need to calculate the percentage of the price of an item after a discount. If the original price of the item is ₹100, and it is discounted by 20%, you can use the following formula to calculate the new price after the discount:

New price = Original price – (Discount percent / 100) x Original price

Using this formula, we can calculate the new price of the item after the discount as follows:

New price = ₹100 – (20 / 100) x ₹100

New price = ₹80

So, the new price of the item after the 20% discount is ₹80.

## Calculate the Percentage of Marks

Are you still wondering, how to calculate percentage of marks or how to find percentage of marks? Let’s start with the example of calculating the percentage of marks in an exam. Suppose you scored 80 marks out of 100. To calculate your percentage, you need to divide the marks you scored by the total marks and then multiply the result by 100.

How to calculate 12th percentage or what is the 10th percentage calculator? The formula for calculating the percentage of marks is as follows:

Percentage = (Marks scored / Total marks) x 100

Using this formula, we can calculate your percentage of marks as follows:

Percentage = (80 / 100) x 100

Percentage = 80%

Thus, your percentage of marks is 80%.

Now let’s take another example of calculating the percentage of a number. Suppose you need to calculate the percentage of the price of an item after a discount. If the original price of the item is ₹100, and it is discounted by 20%, you can use the following formula to calculate the new price after the discount:

New price = Original price – (Discount percent / 100) x Original price

Using this formula, we can calculate the new price of the item after the discount as follows:

New price = ₹100 – (20 / 100) x ₹100

New price = ₹80

So, the new price of the item after the 20% discount is ₹80.

## Calculate Percentage Change

To calculate the percentage change, we use the following formula:

Percentage change = ((New value – Old value) / Old value) x 100

Let’s suppose that you scored 80 marks out of 100 on an exam in the first semester and 90 marks out of 100 in the second semester.

how to calculate percentage of marks? To calculate the percentage change in your exam scores, you can use the following formula:

Percentage change = ((90 – 80) / 80) x 100

Percentage change = (10 / 80) x 100

Percentage change = 12.5%

Thus, your exam score increased by 12.5% from the first to the second semester.

Similarly, we can use the same formula to calculate the percentage change for many variables.

Suppose you bought a stock for ₹100, and its current value is ₹150. To calculate the percentage change in the stock price, you can use the following formula:

Percentage change = ((₹150 – ₹100) / ₹100) x 100

Percentage change = (50 / 100) x 100

Percentage change = 50%

So, the stock price has increased by 50% since you bought it.

## Calculate Percentage Increase and Decrease

Let’s elaborate on the concept of percentage increase and decrease and provide an example to illustrate its calculation. Now, we have understood how to calculate percentage of marks. It is also important to understand the concept of percentage increase and decrease.

### Percentage Increase

The percentage increase is a measure of how much a value has increased from its original value. To calculate the percentage increase, we use the following formula:

Percentage Increase = ((New Value – Old Value) / Old Value) x 100

Let’s consider an example. Suppose the value of a stock increased from ₹100 to ₹125. To calculate the percentage increase in the value of the stock, we use the formula above as follows:

Percentage Increase = ((₹125 – ₹100) / ₹100) x 100

Percentage Increase = (25 / 100) x 100

Percentage Increase = 25%

Thus, the percentage increase in the value of the stock is 25%.

### Percentage Decrease

Percentage decrease is a measure of how much a value has decreased from its original value. To calculate the percentage decrease, we use the following formula:

Percentage Decrease = ((Old Value – New Value) / Old Value) x 100

Let’s continue with our example. Suppose the value of a stock decreased from ₹125 to ₹100. To calculate the percentage decrease in the value of the stock, we use the formula above as follows:

Percentage Decrease = ((₹125 – ₹100) / ₹125) x 100

Percentage Decrease = (25 / 125) x 100

Percentage Decrease = 20%

So, the percentage decrease in the value of the stock is 20%.

## Know the Difference Between Percentage and Percentile

Now we have solved how to calculate percentage of marks. It is also important to understand the difference between percentage and percentile.

### Percentage

The percentage is a mathematical term that represents a portion of a whole as a fraction of 100.

### Percentile

Percentile, on the other hand, refers to the position of a particular value in a data set when compared to other values. In other words, the percentile is a way of ranking values in a data set.

### Difference Between Percentage and Percentile

The main difference between percentage and percentile is: percentage is a representation of a value as a fraction of 100, while percentile is a way of ranking values in a data set. Percentages are used to represent a portion of a whole, while percentiles are used to rank values in a data set.

Another significant difference is the way they are calculated. Percentages are calculated using the formula:

Percentage = (Part / Whole) x 100

On the other hand, percentiles are calculated by ranking a set of values and then finding the value below which a certain percentage of the observations fall. For example, to calculate the 80th percentile of a set of exam scores, we would first rank the scores from highest to lowest and then find the score that is higher than 80% of the scores.

Calculating the percentage of marks is a fundamental skill for students and educators alike. By following the simple steps outlined above, students can calculate their grades accurately and set academic goals. Understanding how to calculate percentages of marks is crucial for academic success and is a valuable skill that can be used in a variety of fields.

Also Read: How To Calculate ICSE Percentage?

## FAQs on How to Calculate Percentage of Marks

#### Q1. How to calculate 10th mark percentage? 