Students are awarded their marks in different modes, i.e., CGPA, SGPA, GPA, or percentage. This depends on the institute that a student wishes to choose to study in. However, it is important for every student to know how to calculate the percentage of marks they scored in each term. This will help them evaluate their academic performance. So, let's know everything about percentages in this blog.
Table of Contents
Q.1 How to calculate the percentage of marks in Excel?
Q2. How to calculate the average percentage of marks?
Q3. How do I convert a fraction to a percentage?
Q4. What is the significance of calculating the percentage of marks?
Q5. What is the percentile, and how is it calculated?
Q6. What is the formula to convert for Percent in Decimal?
Q7. Can Percent be More Than 100?
Q.8 What is 40% of 70 marks?
First, let's understand what actually a percentage is? It is a way of demonstrating an amount of value with respect to the total value. It is denoted as a symbol "%". However, percentage is the most standard way of awarding the results of a student's academic performance. That's why most institutes in India follow this grading system. Many of the students don't know the steps and formula to calculate the percentage of the marks they score in an academic session. So they can follow the given steps and formula to calculate it.
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The steps to calculate the percentage of marks are as follows-
You can also write the above steps as:
Now, you know the steps and formula for calculating the percentage of marks. So, now let's understand how to calculate percentage of marks of 6 subjects using the marks to percentage formula. Let's say, for example, a student has scored 84,91,86,81,85,79 marks out of a hundred in six subjects of an academic session. So, use the simple steps and formula to calculate the percentage of the marks. First, add the marks he or she scored that is
84+91+86+81+85+79
The answer is 506.
You know that the highest mark that one can score is 600. So now, put the values in the formula :
Percentage = (value/total value)×100%
=(506/600)×100%
=0.8433×100%
=84.33%
Hence, the resulting percentage of marks in 6 subjects is 84.33%.
Now you know how you can convert your academic scores for each subject into the percentage form. But have you ever wondered why? What is the need for doing so?
Here's the answer!
Now you know how you can convert your academic scores for each subject into the percentage form. But have you ever wondered why? What is the need for doing so?
Here's the answer!
Students who wish to study in UK , USA, Australia, Canada, or any other nation have to represent their academic performance in percentages to get admission into the top colleges. This will also help them determine their eligibility for a scholarship or a job interview. So, they need to convert their academic marks or grades into percentages.
Now, you know why and how to calculate percentage of marks, so, you must also know the procedure to calculate increase, decrease, change and errors in percentage to track your academic performance.
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A percentage increase represents an increase in the original value. It helps evaluate the growth in business and financeover a period of time. That's why it is important to know how to calculate percentage increases. Use the formula below to calculate the percentage increase.
(% Increase = (Increase in Quantity / Initial value) x 100)
Here, increase in quantity = Final value - initial value.
Let's understand it with an example.
The marks of a student in a particular subject increases from 49 to 74 in second term. Calculate the % of the hike in the salary.
In this case, the initial value of the salary was 49 and the final salary was 74.
However, put the values in the formula-
% Increase = (Increase in Quantity/ /Initial value x 100)
So, the % Increase = (74-49/74)100
= 0.33x 100
= 33%
Hence the percentage increase is 33%
Now, let’s know
The loss of numbers from the initial value over a period of time is known as depreciation or a decrease in percentage. It is used to represent the loss in a standard form. However, use the below-given formula to find the percentage decrease.
(% Decrease = (Decrease in Quantity x 100)/ Initial value)
However, the formula is similar to the formula to calculate an increase in the percentage. So, we can say that the decrease in quantity = Initial value - final value here as well.
It is similar to an increase in the percentage that we can say that the decrease in quantity = Initial value - final value here as well. Let's understand how to find percentage decrease with an example.
Let's say a student scored 87 marks on the first biology test and 82 on the second. Find a decrease in percentage. However, to find the decrease in the percentage of marks, first, subtract the score of the second from the first test, i.e. 87-82. The answer is 5.
Now, divide the result by the initial value, 87. The result will be 5/87, which is equal to . 057. Finally, multiply the final result (0.057) by 100. The resulting answer will be 5.7. This is the decrease in percentage.
Many students often ask a question that how to find percentage change. This is because it will help them to analyze the increase or decrease in their academic performance.
So, they can use a simple formula-
(New Value - Old Value) ÷ Old Value, and then multiply that number by 100
Let’s understand this with an example.
A student scored 89% in the first term. Then his or her score decreases to 76%. Calculate the change in the percentage of the scores.
Now, in this case, the initial value is 89 and the new value is 76. So, using the formula,
(New Value - Old Value) ÷ Old Value, and then multiply that number by 100,
you will get
= (76-89)/89 × 100
= -0.14
Hence, the percentage of change in the score is -0.14%
The percentage error, a measure of how close an estimated value is to the actual value, is calculated using a specific formula. This formula is a key tool used by experts to quantify the difference between the expected value and the actual value in percentage terms.
Percentage Error = (Estimated Number – Actual Number)/ Actual number) x 100 .
Let's understand this with an example.
A student of class 9 ^{ th } estimated that he will score approximately 91% in his final exam. But, the actual result was 83%. Find the percentage of error of his or her result.
In this case, the expected result was 91% but the resulting value is 83%.
After putting the values in the formula, we will get
=((91 – 83)/ 83) x 100
= 0.096 x 100
= 9.6
Hence, the percentage error= 9.6%
Some students have a question about how to calculate the percentage of marks for any number. They can calculate this using two methods: fractions and decimals. Let's understand both methods in detail.
Fraction Method
You can use this method when the given value is in the form of a fraction.
To use this method, first convert the fraction in the form of decimal and then multiply the value by 100. Let's say, for example, you have a fractional number 46/50, and you have to find the percentage of this. To find its percentage, first solve the fraction and convert it into a decimal. You will get the value 0.92. Multiply this result by 100. So, the percentage mark of fraction 46/50 is 0.92%.
Decimal Method
The decimal method is easy to use to find the percentage of any number or mark. You just have to multiply the decimal value by 100 to get the answer. For example, if you have to find the percentage of a decimal 0.863, multiply it by 100. The resulting value will be the percentage of the decimal 0.863, i.e. 86.3%.
While you're adept at calculating percentages, it's equally importantto grasp the concept of percentiles and their calculation. This knowledge is crucial, as it's a common stumbling block for many students. Mastering this will not only enhance your understanding but also boost your confidence.
However, the representation of the percentage of a data value that falls at or below another data value is known as a percentile. This is a way of ranking the candidate's performance in any of the competitive examinations.
There is a huge difference between percentage and percentile. So, let's understand them with the table mentioned below.
Percentage |
Percentile |
Percentage is an integer value expressed as a number out of 100 |
Percentile is not an integer value between 0 and 100. |
It can be shown as a ratio or proportion. |
It can not be shown as a ratio. |
It is not based on ranking |
It is used to define the ranking |
It is denoted by a sign % |
It is denoted by Xth |
The percentage is based on a single case |
A case is compared to another to find the percentile |
It does not rely on the normal distribution |
It relies on the normal distribution |
A 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 |
It can be written in the form of decimal. |
It cannot be written in the decimal form. |
Well, now you know how to calculate percentage of marks or a number or any given data. So, now let's have a look at some of the best tricks and tips involved in the calculation of the percentage of the marks.
However, knowing them will make the process easy. So, let's start
Students must know their percentage of academic scores. This is because it will help them to find a program for their choice using a course finder tool that is available online. However, let's learn how to calculate marks, CGPA, SGPA and GPA in percentages.
CBSE awards subject-wise marks to students in their 10th and 12th grades. So, they can use the simple formula, i.e., Percentage = (value/total value)×100% to calculate their scores. You can also use a free percentage calculator CBSE , which is available online, to calculate the percentage faster.
However, there can be errors in using the formula so it is advised to verify the score using the formula. Let's understand with another example.
To calculate the percentage of the above scores, first add them all.
So, the result is 416.
Now, as you know, the highest possible mark is 500. So now, use the percentage formula marks, that is (scored marks/total marks)×100%.
The result will be
=(416/500)×100%
=0.832×100%
=82%
Every student must know how to convert academic grades into percentages. This will help them get various job opportunities. In addition, if you are willing to study abroad, it will also help you to use a college predictor tool available online to determine your eligibility for admission to the top institutes established worldwide.
So, now, let's see how to convert grades into percentages.
Cumulative Grade Point Average, or CGPA, is calculated to determine a student's overall academic performance over a period of time. It is calculated using grade points, credit hours, and a weighted average. Formula: CGPA = Grade Points * Credit Hours / Credit Hours.
However, students must convert their CGPA into percentages. To get the percentage, they just have to multiply their CGPA by 9.5.
GPA stands for grade point average. This grading system is used in American high schools and universities. It is the ratio of total marks earned and total credit points. However, you can convert your GPA into percentage by just multiplying it by 25.
Finally, semester grade point average, or SGPA, is a grading system used by most universities to award the academic scores of a student earned each semester. That's why it is recalculated after every term using grade points and credit hours. However, students must know how to convert SGPA to percentages. So, they can use a simple formula: Percentage = (SGPA *10)-7.5.
Now, you know that converting marks to percentage is easy. But did you know you can calculate your marks or the value of any number using percentages? Want to know how? You just need to use simple steps of dividing the percentage by 100 and then multiplying the result by the total marks of all subjects. Let's understand this with an example.
There are 5 subjects in CBSE class 10th. The maximum mark is 500, and a student scores 77%.
So, use the steps one by one.
First, divide 77 from 100. The result is 0.77. Now, multiply the result by 500.
So, the mark obtained by the student in class 10th is 385.
Percentage is a standard form of representing a report. This is because it helps to analyse the growth, depreciation and amount of change in academic scores, business or investment over a while. In addition, students who dream to study or work overseas also have to submit their scores in the form of percentages.
That's why some of the best study abroad consultants say that mastering the process of calculating the percentages of marks and other grades is very beneficial skill for everyone.
It is easy to calculate the percentage in Microsoft Excel. You just have to use the formula (number/total*100). Here, replace the number with the value of which you want to calculate the percentage.
To get the average percentage of marks, you just need to divide the sum of the percentage of scores achieved in each subject by the total number of subjects.
The process for converting a fractional value into a percentage is first to solve the fraction and convert it into a decimal number. Then, multiply the result by 100. The final result is the percentage for the fractional value.
The percentage is a labarum way of representing the figures. That's why universities ask students to convert their marks into percentages before submitting the academic transcripts for the admission process.
A percentile represents a value that is near or below another value. The formula for calculating a percentile is P = n/N * 100% , where P is a percentile, n is the data value, and N is the total number of values.
It is possible to convert a percentage into a decimal value. You just have to divide the given percentage by a hundred. Let's say, for example, you have to convert 45% into the form of decimal. So, for that, simply just divide 45% by 100. The resulting answer, "0.45", is the decimal value of 40%.
Yes, the percentage can be more than 100 in some contexts.
To calculate the 40% of 70 marks, divide 40 by 100 and then multiply the result by 70.
So, the answer will be
=(40/100) x 70 = 0.4 x 70 =28% |
Hence, the 40% of 70 marks is 28%.
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