BY Team Aakash Byjus

Step-By-Step Guide to Calculate Percentage Using Formula

Let us see what the term ‘Percentage’ means and the formula to find it out.

‘Percentage’ is a number or a ratio that is expressed as a fraction of 100. The symbol of percentage is ‘%’.

Click Here To Attend Free Trail Class

As the name suggests ‘per’ & ‘cent’ means a number per hundred.

Example:

 35 out of 100 is called 35 percent and written as 35%.

So, calculating the percentage is nothing but finding the share of a whole in terms of 100.

These examples will  help you to understand how the percentages are calculated.

If the given number is a decimal

If the given number is a fraction

 Now, let us learn how to find the percentage of a given number. Suppose, 260 represents 100% and we need to find what number is 45% of 260.

Step 1: Multiply the whole number by the percentage.

260 x 45 = 11,700

Step 2: Now, divide this result by 100 to get the number that represents 45% of the whole.

Now, if 30% of a number is 186 and asked you to calculate the whole original number, then

Step 1: Multiply 200 by 100 to get 18600

Step 2: Divide this result by 30 to get 620. So, 620 is the number(100%) whose 30% is 186.

To find percentage increase: If the number 120 is increased by 30%, then

Step 1: Convert the percentage into decimal form by dividing it by 100. So, 30% converted to decimal

Step 2: Then multiply the original number by 0.3 to know by what amount 120 is increased.

Step 3: Now, add this number to the original number to get the increased amount.

To find percentage increase : If the number 120 is decreased by 30%, then in the last step instead of adding the numbers, subtract the amount from the original number.

These are some quick or shortcut methods of finding percentages in different scenarios. Found it helpful? Share these with your friends.