How to Calculate Percentage of Marks?
We spend much time at school and planning plans to get good grades and a higher percentage. The percentage a candidate receives influences the professional paths available to them, such as the stream they will study in class XIth, the college they will attend, the course they will take, and so on. However, have you ever considered how a percentage, which is an essential element of your job, is calculated? It is a way to represent numbers by a factor of 100. This blog will explain the process for all the students who are unsure how to compute the Percentage of marks!
What is the Percentage?
The term "percentage" refers to using fractions of 100 to express a number or ratio. In layman's terms, a percentage can be defined as the amount produced by another, computed to 100. The sign 'per cent' is commonly used to represent it. The abbreviations 'pc' and 'pct' are commonly used to denote it.
Percentage Formula of Marks
Do you have trouble calculating the percentage of marks? To begin, you must comprehend the various components of the percentage formula. The formula for calculating the percentage is equal to the ratio of the actual value to the total value multiplied by 100. After the analysis, let us take a look at the% formula:
Now that you know how to compute percentages of marks, below are some frequent variants of the above-mentioned formulas that may assist you in calculating your marks in some unique situations.
Now that you know how to compute percentages of marks are Calculated, the following is a generic variation of the above formula to help you calculate Your Marks in some special situations.
A student received 1000 out of a possible 1500 points on the exam. Calculate the student's overall grade point average.
Solution:
Number of marks scored = 1000
Maximum marks = 1500
Percentage of marks =(1000/1500) × 100
The percentage of marks obtained is 66.66%
Jered received a score of 70 out of a possible 100 in the exam. Calculate the percentage of marks that Jered received.
Solution:
Number of marks scored = 70
Maximum marks = 100
Percentage of marks =(70/100) × 100
The percentage of marks obtained is 70%
Difference Between Percentage and Percentile
Many people may be confused by the term's percentage and percentile in most cases. Both are distinct.
The distinction between percentage and percentile is explained in depth here.
| Percentage | Percentile |
| The percentage is expressed as a number out of 100. |
The percentile is not an integer between 0 and 100. |
| It can be expressed as a ratio or as a proportion. | It cannot be expressed in terms of ratios or proportions. |
| The percentage is calculated by multiplying the ratio of two values by 100. | The percentile is the percentage of values found below a certain value |
| It is not based on rankings. | It is determined by ranking numbers. |
| It is written in the format x%. | It's written in the style of xth. |
| It is based on a single case. | A case is compared to another. |
| It is not based on the normal distribution. | It is based on the normal distribution. |
How to Calculate Percentage Increase?
The percentage change in the value indicates the percent increase in the original number. If the new value is greater than the original value.
You can calculate this with the following formula:
Here,
Increase in value = New value – Original value
How to Calculate Percentage Decrease?
The percentage change in the value indicates the percent decrease in the original number when the new value is less than the original value.
The formula for the rate of increase is:
Here,
Decrease in value = Original value – New value
How to Calculate Percentage of any Number?
Using the formula mentioned above, converting marks to percentages becomes more accessible. Make sure you write down the marks correctly because any differences in the entries will result in an incorrect percentage or an invalid answer. The two significant ways for calculating the percentage are as follows:
Fraction Form
In one of the scenarios, you are given a data collection with a final quantity that is a fraction after all of the entries are added together. Then first convert the number to decimal and multiply the total by 100.
Decimal Form
If the final quantity is specified in decimal, it will be easier to calculate the answer. To find the percentage of a given number, multiply it by 100.
For example: To calculate a percentage of 0.82 = 0.82 x 100 = 82%
| Convert into Percentage | Procedure\(Multiply with 100) |
Convert from Percentage | Procedure(divide by 100) |
| Fraction to Percentage | Multiply the fraction with 100 | Percentage into fraction | Divide the percentage by 100 and reduce. |
| Decimal to Percentage | Express the number as a fraction step Multiply the fraction with 100 | Percentage into Decimal | Divide percentage by 100 & reduce Convert the fraction into a decimal |
| Ratio to Percentage | Express the number as a fraction 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 fraction Multiply 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. |
How to Calculate Percentage of Marks?: Tips and Tricks
You should know how to calculate the percentage of a given number by now. Let us have a look at how to calculate percentages of marks now. To calculate your exam percentage, divide the marks you received by the total score of the exam and multiply by 100.
The answer is 96%, indicating that you received 96% of the marks in your session.
- Divide a number by two to get 50 percent of it. For instance, 32 divided by two equals 16.
- One-tenth is precisely that: one-tenth. Divide a number by ten or move the decimal point to the left position to get ten percent of it. For example, 10% of 290 equals 290 divided by ten.
- To calculate a percentage greater than 100 percent, move the decimal of the percent two spaces to the left and multiply the amount in question by the result.
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