How to Calculate Percentage
Understanding how percentage calculation works is not only for kids who are preparing to pass their next exams. To know how to calculate the percentage is also for someone who is going to a restaurant and trying to figure out how much the bill is. Or the one who is shopping and thinking about how much will be 25% off. Or the one who is trying to cut down his expense by 5% and trying to find how much he is going to spend.
Everyone needs to know this! We know that we can calculate these things easily with the help of a calculator. But what if you don’t have it or you are not allowed to use it? Do you know that you don’t need a calculator most of the time to do these simple calculations? All you need to do is use your brain a little bit, a very easy percentage formula and you will arrive at the answer in no time.
Read this article to find out how to calculate the percentage. We will teach you from basics and we will use examples. So, if you are new to this then don’t worry, we will explain everything. After reading this article, you will feel confident about solving any percentage problem. You will also learn about Percentage Tips And Tricks that you can use in your daily lives.
Percentage Formula
Now, to calculate the percentage we have to know its formula. The formula to calculate percentage is equal to the ratio of the actual value to the total value multiplied by 100. The percentage formula is:
Percentage, % = (Value × 100) / Total Value
Let us understand this concept and formula with the help of an illustrative example given below:
Example: A circle is given below with 10 divisions and few parts are shaded. Calculate the percentage of shaded parts in the circle.
Solution:
Total number of divisions in the circle = 10
Number of shaded parts = 2
We know that,
Percentage, % = (Value × 100) / Total Value
Thus, the percentage of the shaded part of the circle = [(Number of shaded divisions)/ (Total number of divisions)] × 100
= (2/10) × 100
= 20%
How Do You Calculate Average Marks?
The average test score obtained is the sum of all the scores divided by the number of test-takers.
For example: suppose 3 students took a test and received scores of 69, 87, and 92,
Solution:
Average marks= (69+87+92 ) / 3
=248/ 3
=82.66
What is the Difference Between Percentage & Fraction?
Percentage and fractions are very closely related but have a major difference. A fraction is when a 2 units are divided and a resultant represents a part of the whole. Meanwhile, percentage is when the fraction is multiplied by 100.
Example: percentage of marks scored in maths= 39/ 50*100
= 0.78
39/50 is a fraction whose resultant is 0.78 which is a part of the whole.
When we multiply this 0.78 by 100 we get 78% .
How To Calculate Percentage Error?
Percentage Error is the difference between approximate (or observed) value and exact (or actual value) as a percentage of actual value. It is used for purposes like to check manufacturing or calibration errors in measuring instruments.
Percentage Error = {(Approximate or Observed Value – Exact or Actual Value) / Exact or Actual Value} x 100
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