Last Updated on September 20, 2024
Securing impressive grades and marks in class 12 holds significant weight, paving the way for a future career. A percentage is a numerical representation expressed as a fraction of a hundred. If you are grappling with the complexity of percentage calculation as a student, fear not; we are here to help you. This blog contains a comprehensive guide to calculating the percentage of marks and could provide you with the skills to compute your percentage effortlessly.
By the end of this blog, you will emerge as a proficient percentage calculator armed with the knowledge to navigate the academic landscape easily. Having a firm grasp on percentage granulation is essential as it works to determine the grades of students and inspire them to achieve academic excellence. It is a valuable tool that could help us make informed decisions in various areas of life and navigate complex problems confidently. So, let us now look at how to calculate the percentage of marks.
How to Calculate Percentage of Marks: Step-by-Step Guide
Computer percentage of marks effortlessly with the straightforward, simple two-step process:
- Step 1- Divide your earned marks by the maximum marks attainable in the test
- Step 2- multiply the outcome by 100
This formula simplifies the calculation, making it a quick and effective way to determine your total percentage. For example, if we need to calculate the percentage of marks for six subjects, say for your board exam, you scored 78 in English, 90 in history, 85 in geography, 79 in economics, 88 in political science, and 75 in sociology. We will solve this in the way given below-
Total marks scored = 78 + 90 + 85 + 79 + 88 + 75= 495
Maximum marks =600
Percentage of marks = (495/600) x 100 = 82.5%
Difference between Percentage and Percentile: How to Calculate Percentage of Marks?
People often get confused between percentiles and percentages. The percentage can be defined as a portion of a whole and is used to express a relative part of a hundred. It is commonly used for scoring, grading, or expressing proportions. However, the person can be defined as a rank of a particular score in the group. For instance, many standardized tests like the SAT or GRE score in percentile indicate how a candidate has performed, depending on a candidate’s performance relative to other candidates. Similarly, the percentage might represent the number of correct answers out of the total questions but will not provide a comparison with the larger population. The detailed differences between percentile and percentage have been illustrated below-
| Percentage | Percentile |
| Percentages can be expressed as a numerical figure out of 100 | Percentile s not expressed as an integer between 0 and 100 |
| It can be indicated as a ratio or proportion | It cannot be indicated as a proportion or ratio |
| Percentage can be obtained by multiplying the ratio of values by a hundred. | Percentiles can be obtained by the percentage of values found below a specific value. |
| Not based on ranking numbers | Based on ranking numbers |
| Written in the form of x% | Written in the form of xth |
| It is based on one case | Comparison of one case with other |
| Does not rely on the normal distribution | Relies on the normal distribution |
How do you convert fractions into percentages?
Percentage is like expressing a number out of a hundred, while a fraction represents a part of a whole, such as one out of four. In a percentage, a hundred is the entire amount, and you describe a portion of it, but in a fraction, the bottom number,r, which is the denominator,r is the entire amount you’re talking about. It is like using different ways to talk about parts of the whole, where a hundred is an entire thing in percentages, and the denominator is the whole thing in fractions.
How do you calculate the percentage of numbers/marks?
One can calculate percentages for a number by two methods. The first method is called a fraction form. If you get a number in fraction form, convert it into decimals and then multiply the result by a hundred. For example, if the fraction number is 30/50, the result will be 0.6, and if you multiply it by a hundred, it will be 60%.
The second approach is the decimal method. If you have a number using the decimal method, you can directly convert it into a percentage by multiplying it by a hundred. For example, the decimal number is 0.75,436. The result will be 0.754 into a hundred equals 75.4%.
Calculate percentage increase and decrease
Percentage increases the final value concerning the original value expressed as a percentage. The change can be calculated using the following formula-
Percentage increase (%) = increase in quantity x 100/initial value
In this case, the increased quantity equals the final value – the initial value.
On the other hand, a percentage decrease is the decrease in the final value concerning the original value, expressed as a percentage change, and can be calculated using the following formula-
Percentage decrease (%)= decrease in quantity x 100/ initial value
Conversely, in this case, the decreased quantity equals the final value – the initial value.
Solved Examples of Calculating the Percentage
Question 1: There are 120 students in your class. Out of them, 60 students are boys. Find the percentage of boys in your class.
Given:
Total number of students in your class = 120
Number of boys in class = 60
Therefore, the percentage of boys in class =60/120×100 = 600/12 = 50
So, the percentage of boys in your class = 50%
Question 2: Find 25 % of 10.
Remember that “of” means “times.”
So, 25% of 10 = (25/100) × 10
0.25 × 10 = 2.5
Therefore, 25% of 10 is 2.5.
Question 3: Find the percentage of ripened apples if the number of ripe apples is 10 and the total number of apples in the basket is 60.
Given the total apples = 60
Number of ripe apples = 10
Percentage of ripe apples = (10/60) × 100 = (1/6) × 100
= 16.666666 =16.67%
Question 4: There are 150 people present in a cinema hall. The number of men is 80, and the number of women is 70 in the hall. Calculate the percentage of men present in the hall.
Total number of people present in cinema hall = 150
Number of men = 80
Percentage of men=Number of men/Total number of people×100
Percentage of men = (80 x 100)/150
= 53.33%
Question 5: What is 15% of 75 equal to?
15% of 75 = (15/100) × 75 = 11.25
Practice Problems
- Jaanu scored 34, 65, 58, 70, and 50 in 5 subjects of a monthly test in which the maximum marks for each subject is 100. Calculate the percentage of marks scored in 5 subjects.
- The price of a toy was increased by 30% to Rs. 120. What was the original price?
- Convert the fraction 7/18 to a percentage.
- A student increased the value of a number from 65 to 110. Find the percentage change in the number.
Tips and Tricks On How to Calculate Percentage of Marks
- To calculate 50 percent of a number, divide it by 2. For example, 26 divided by 2 is 13.
- One-tenth means one-tenth. To calculate ten percent of a number, divide it by 10 or move the decimal point to the left. For instance, ten percent of 230 is 230 divided by ten.
- 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.
Significance of calculating the percentage of marks
Converting the percentage of marks is essential for several reasons, particularly in academic and professional contexts-
- Firstly, this standardizes systems across countries, institutions, and universities. Various grading systems like GPA letters and grade percentages and converting marks to a standard system help in short fairness and consistency when evaluating candidates across different systems and regions.
- Secondly, universities and colleges often require candidates to meet specific grading standards, converting marks into their required format, which Helps admission officers assess if a candidate needs the minimum academic criteria.
- Thirdly, for students supplying abroad, converting percentages to a grading system of the target country, like GPA for US schools, ensures a proper understanding of their academic performance and both evaluators and students.
- Additionally, employers, especially international ones, may need a clear understanding of the applicant’s academic achievement; converting marks into a familiar format can help clarify candidates, qualifications.
- Lastly, many scholarships have academic performance requirements based on a specific grading system, and an accurate conversion ensures eligibility for financial assistance or merit-based rewards.
Conclusion
Mastering how to calculate percentage of marks is an invaluable skill for students navigating the academic level, as we have seen how to transform scores into meaningful percentages. Remember that this proficiency extends beyond numerical computation. It empowers us to understand our academic settings. Make informed decisions about your educational journey and set goals. If you aim for a stellar percentage in grade 12, start your career path, or seek a more profound comprehension of your academic achievement, you should take action.The ability to calculate percentages is a tool that transcends the classroom.
FAQs
Q. Is there a standard method for calculating percentages across different educational systems?
While the concept of calculating percentages remains consistent, the specific methods may vary across educational systems. Hence, academic institutions or boards must follow the scoring or grading systems provided to them to ensure accurate calculation.
Q. How do you calculate the average or median percentage of marks?
To calculate the median or average percentage of marks, add the percentages obtained in each sub and divide by the number of subjects. We can express this as a sum of percentages divided by the number of subjects.
Q. How do I calculate the percentage increase if the initial value is zero?
Calculating the percentage of marks when the initial value is zero is impossible using a standard formula, as dividing by zero is undefined. In such cases, describing the change in absolute terms rather than percentages is better.
Q. How do you calculate the final exam mark?
To calculate the final exam marks at this score obtained in all components and divided by the total possible marks, multiply the result by 100 to get the percentage.
Q. How do you calculate the percentage of marks in Excel?
You can calculate the percentage of marks using a simple formula in Excel. Let us assume that the marks are in column A and the maximum marks are in column B, and now, in an empty cell, type the formula = (A1/B1) *100 and press Enter. This formula will help calculate the percentage of marks for that particular row, and now you can copy and paste this formula for other rows if your data extends down to the column.
Linette Shoji is a seasoned content writer specializing in guiding students through the complexities of applying to universities abroad. Her well-researched, clear, and practical articles break down intricate information into easy-to-understand advice. Linette’s work empowers students to make informed decisions, ensuring a smooth and successful journey to higher education.
