This calculator helps you find out the percentage of marks you’ve scored out of the total marks.

How to Calculate Percentage of Marks

Calculating percentages is a crucial skill, especially for students who need to understand their academic performance. Whether you’re figuring out your exam scores, comparing grades, or analyzing data, knowing how to calculate percentages is essential. In this article, we’ll cover everything you need to know about calculating percentages, including detailed steps, examples, and helpful tips.

What is Percentage?

A percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol “%”. For example, if you score 75 out of 100 in a test, your score is 75%. Percentages are used in various fields such as finance, statistics, and academics to represent proportions and comparisons.

How to Calculate Percentage of Marks?

Calculating the percentage of marks is straightforward. Follow these steps:

1. Identify the Total Marks: First, determine the total marks possible for the exam or assignment.
2. Find the Marks Scored: Next, find out how many marks you actually scored.
3. Apply the Percentage Formula:

Use the following formula to calculate the percentage:

Percentage =(Marks Scored/Total Marks)×100

Percentage=(80/100)×100=80%

How to Calculate Percentage Increase?

Percentage increase is used when you want to find out how much a value has increased in terms of percentage. Here’s how you do it:

1. Identify the Original Value: Start with the initial value.
2. Find the New Value: Determine the value after the increase.
3. Use the Formula:

Apply this formula

Percentage Increase = (New Value−Original ValueOriginal Value)×100

Percentage Increase = (60−5050)×100=20%

How to Calculate Percentage Decrease?

Percentage decrease is similar to percentage increase, but it shows how much a value has decreased. Follow these steps:

1. Identify the Original Value: Start with the initial value.
2. Find the New Value: Determine the value after the decrease.
3. Apply the Formula:

Use this formula

Percentage Decrease=(Original Value−New Value/Original Value)×100

Percentage Decrease =(100−80/100)×100=20%

How to Calculate the Percentage of Any Number?

To find out what percentage one number is of another, use this method:

1. Identify Both Numbers: Determine the part (the smaller number) and the whole (the larger number).
2. Use the Formula:

Apply the following formula:

Percentage=(PartWhole)×100

Percentage=(25200)×100=12.5%

Important Percentage Conversion Table

Here’s a quick reference table for common percentage conversions:

Fraction	Decimal	Percentage
1/2	0.5	50%
1/3	0.333	33.3%
1/4	0.25	25%
1/5	0.2	20%
1/10	0.1	10%

Difference Between Percentage and Percentile

• Percentage: This measures how many parts per 100. It’s a simple ratio of the part to the whole.
• Percentile: This shows the relative standing of a value within a dataset. For example, if you score in the 90th percentile, you scored higher than 90% of the people.

Difference Between Percentage and Fraction

• Percentage: A percentage is a fraction expressed with a denominator of 100.
• Fraction: A fraction represents a part of a whole and is not limited to a denominator of 100.

Tips and Tricks to Calculate Percentage of Marks

• Break Down the Numbers: If you’re working with large numbers, try breaking them into smaller, more manageable parts.
• Use Estimation: If exact numbers aren’t necessary, estimate to get a quick answer.
• Practice Regularly: The more you practice, the faster and more accurate you’ll become.

FAQs

Q1: How do I quickly calculate 10% of a number?
A: Simply move the decimal point one place to the left. For example, 10% of 250 is 25.

Q2: Is a 75% score good?
A: Yes, 75% is generally considered a good score, especially in academic settings.

Q3: What is the easiest way to calculate percentage in exams?
A: Use the formula Percentage=(Marks ScoredTotal Marks)×100

Understanding how to calculate percentages is essential for students and professionals alike. By following the steps and tips provided in this guide, you can easily calculate percentages for any scenario, whether it’s exam marks, price changes, or other numerical comparisons.