How to do Percents in Math

Introduction to how to do percents in math:

How many hundreds are in a number is called its Percent. Express a number as a fraction part of 100 is known as percent.  The symbol used to denote the percent is %. For example 34/100 is 0.34 %.  In this article we will see about how to do percents in math with some example problems.

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How to do percents in math steps:


To solve percent for a single number that means how many percent is particular number we have to simple divide that umber by 100.
Example:

What is the percent of 45?

45 = `45/100 ` = 45%

To solve what percent “of p is q”:

We have to express the numbers as proportions


Keep the unknown number (that is how many %) as x.


Write percent as` x/100 `


Multiply the “of” quantity (that is p) with `x/100 `


Equate the above term with “is” quantity (that is q). Otherwise we can also write as `x/100` = is/of (`q/p` )

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Example problems on How to do percents in math:


Example 1:

What percent of 175 is 60?

Solution:

Percent = x%

`x/100 ` * 175 = 60

(or)

`x/100` = `60/175`

x= 34.28%

Hence 34.28% of 175 is 60.

Example 2:

What percent of 45 is 10?

Solution:

`x/100` = `10/45`

x= `10/45` *100

= 22. 22

Hence 22. 22% of 45 is 10.

Example 3:

What is 34% of 150?

Solution:

Here the unknown value is “is” quantity = x

(`34/100` ) *150 = x

(Or)

34 % = `x/150`

Rewriting the equation,

`x/150` = `34/100`

x = (`34/100` )* 150

= 51

Hence 34% of 150 is 51.

Example 4:

16 % of what number is 56?

Solution:

Now the equation becomes,

`16/100 ` * x = 56

X = 56 *(`100/16` )

X = 350

Hence 16% of 350 is 56

Example 5:

There are 55 balloons with Rajul. 18 of them blew away in air.  What percent of balloons are with him now?

Solution:

Total number balloons = 55

Number of balloons blew away = 18

Then,

The number of balloons remaining = 55-18

=37

Now we need to find how many percent is 37 in 55

(`X/100` ) * 55 = 37

`x/100` =` 37/55`

x = (`37/55 ` )*100

= 67.27

Hence 67.27% of balloons are with Rajul in hand