Question

Express into percentage $8$ out of $25$.

Answer 1

Hint: Percent or percentage is used in mathematics as the number or ratio which is expressed as a fraction of a hundredth. And this is followed by the sign ‘%’.Percentage has no dimension. Hence it is called dimensionless. Every percentage variable has three possible unknown variables: percentage, part, base.As we know that formula of percentage is \[ \text{percentage} = \dfrac{x}{y} \times 100\].

Complete step by step answer:
Percentage, also known as percent, is a fraction of a number out of a total of 100 percent. Percentage denotes a portion of a total amount and means "per one hundred."45 percent, for example, represents 45 out of 100, or 45 percent of the total amount.
Percentage is also known as "out of 100" or "for every 100."

How to Work Out a Percentage: A percentage can be calculated in a few different ways. A common strategy for calculating the percentage of something is as follows:
-Determine the entire or total amount for which you want to calculate a percentage.
-Divide the number by which you want to calculate the percentage.
-Step two's value is multiplied by 100.

Given,
Obtained number $ = 8$
Final number $ = 25$
As we know that
The percentage is given by
$\text{percentage} = \dfrac{\text{obtain number}}{\text{Total number}} \times 100$
Put the value
 $ \Rightarrow \text{percentage} = \dfrac{8}{{25}} \times 100$
Simplify
$ \Rightarrow \text{percentage} = 8 \times 4$
$ \therefore \text{percentage} = 32\% $

Hence percentage of $8$ out of $25$ is $32\% $.

Note: Percentage is widely used in profit and loss. It is also used to show statistics data to increase or decrease in data by how much percentage. The percentage function takes the form $z$ is equal to the $x$ percent of the number $y$. Taking a percent can be viewed as the same operation as multiplication by a fraction.