Table of Contents
- What is the percentage?
- Formula to find percentage of marks
- How to calculate the percentage of any number
- How to calculate percentage increase
- Solved examples of calculating the percentage
- Guidelines for calculating the percentage of marks
- Key takeaways
It is simple to perform the mathematical operation of calculating percentages. When you find the ratio or portion of one quantity as a part of another, you’ll need to express it as a percentage. In this blog, we will understand how to calculate percentages and demonstrate how to compute them. Additionally, we give usage examples for percentages.
What is the percentage?
In Mathematics, a percentage is a number or ratio expressed as a fraction of 100. They are usually indicated by “%” or “percent.” 25% or 25% is an illustration of a percentage. They can also be expressed as decimal fractions or simple fractions.
The words “percent” and “cent” combine to form the word “percentage.” Having Latin and French roots, the term “cent” means “hundred,” and the word “percent” means “per hundred.” 20%, for instance, denotes 20 out of 100 or half of a whole.
Formula to find percentage of marks
We can quickly and easily calculate the percentage using the formula. The ratio of the actual value to the total value multiplied by 100 is the formula for calculating percentage. The formula for percentages is:
(Actual Value) / (Total Value) × 100 = Percentage
Now that you know the basics of calculating percentage marks, check out the below given example to figure out how to calculate your percentage.
Sam scored 450 marks out of 500. How much percentage did he get?
Percentage (%)= (Actual Value / Total Value) × 100
= (450/500) × 100
– 0.9 × 100
Ans. Sam scored 90%.
How to calculate the percentage of any number
Using this formula makes converting marks into percentages simpler. Make sure to carefully record the marks because inconsistencies in the entries will result in a wrong percentage or an incorrect response. The two main methods to determine the percentage are as follows:
If, however, you are given a data set in which the sum of all the entries results in a fractional amount, what should you do? To get the total, multiply the result by 100 after first converting the number to decimal form.
Calculating the solution is simpler when the final amount is given in decimal form. As a result, multiply the given number by 100 to get the percentage.
For example: How to calculate the percentage of 0.28= 0.28 x 100= 28%
How to calculate percentage change?
The variability of change over time is referred to as percentage change. It serves a variety of functions. The score for the change percentage is calculated by comparing the older and newer values. The order value is typically included in the comparison. The calculation for percentage change is as follows:
(New Value – Old Value ) / (Old Value) x 100 = Percentage Change
In 2010, there were 1,234,281,170 people living in India. The population was estimated at 1,366,417,754 in 2019. How much of a percentage change has occurred after nine years?
Percentage Change = ((New Value – Old Value ) / Old Value) x 100
= ((1,366,417,754 – 1,234,281,170 ) / 1,234,281,170) x 100
Ans. So there was a 10.7055% increase in the population of India after nine years.
How to calculate percentage increase
The percentage change in the value displays the original number’s percent increase when the new value exceeds the actual value.
New value – Original value = Increase in value
How to Calculate Percentage Decrease
When the new value is less than the original value, the value’s percentage change displays the actual number’s percent decrease.
Original value – New value = Decrease in value
Solved examples of calculating the percentage
Question 1: If there are 120 students in a class. Sixty of them are female students. Count the percentage of female students in the class.
Total number of students in class = 120
Number of girls in class = 60
Therefore, the percentage of girls in class = ( 60 × 100)/120
= 600/12 = 50
So, the percentage of girls in class = 50%
Question 2: Find 45 % of 10.
So, 45% of 10 = (45/100) × 10
0.45 × 10 = 4.5
Therefore, 45% of 10 is 4.5.
Question 3: Find the percentage of the ripened peaches if the number of ripe peaches is ten and the total number of beauties in the basket is 50.
The total number of peaches = 50
Number of ripe peaches = 10
Percentage of ripe peaches = (10/50) × 100
= (1/5) × 100
Guidelines for calculating the percentage of marks
- To calculate 50 percent of a number, you can divide it by 2. For example, 24 divided by two is 12.
- One-tenth means one-tenth. Divide a number by 10 to get 10% of it, or shift the decimal point to the left. For instance, ten percent of 130 is 130 divided by ten.
- When calculating a percentage greater than 100 percent, you need to move the decimal point two spaces to the left and multiply the result by the original number.
- Mathematically, percentages can be expressed as ratios or numbers that are fractions of 100.
- The percentage is usually indicated by “%” or “percent.”
- Calculating a percentage is determining a portion of a whole in terms of 100. It can be calculated manually or with the aid of online calculators.
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Q1. Can Percent be More Than 100?
Answer – Yes, the percentage can be more than 100 when we have a value more significant than the total value.
Q2. What is the Formula for Percent into Decimal?
Answer – To convert percent to decimal, drop the percent symbol (%), divide it by 100, and write the decimal form of the fraction thus obtained.
Q3. How do you find the percentage of 6 subjects?
Answer – Add up the marks of all six subjects and the maximum marks. Divide the scored marks by the total marks, then multiply the result by 100.