Question

The $20.4$ is what percent of $17$?

Answer 1

Hint: In this question we have asked what percent of one value is another value. So, we will use the percent formula to solve this question. First, we suppose that the percent would be $x\% $ then we will form an equation using the formula of percentage such that $x\% $ of one value is equal to another value. Finally, we solve this question by removing the percentage sign and dividing the unknown variable by $100$ and solving the equation further to get our required result.

Complete step by step answer:
In this question we have to find what percent of $17$ is $20.4$.Let’s assume $x\% $ of $17$ is $20.4$. So, we can write the above statement using the formula $P\% $ of number $ = X$ as,
$x\% \times 17 = 20.4$
Removing the $\% $ sign and dividing $x$ by $100$. We get,
$ \Rightarrow \dfrac{x}{{100}} \times 17 = 20.4$
$ \Rightarrow x = \dfrac{{100}}{{17}} \times 20.4$
The above equation can be written as
$ \Rightarrow x = \dfrac{{100}}{{17}} \times \dfrac{{204}}{{10}}$
On further solving we get,
$ \Rightarrow x = \dfrac{{2040}}{{17}}$
On dividing the numbers. We get,
$ \therefore x = 120\% $
So, we get the value of $x\% = 120$

Hence, $20.4$ is $120\% $ of $17$.

Note: Percentage is defined as the relative value that indicates hundredth parts of any quantity or it can be defined as a number or ratio represented in the form of fractions of $100$ and is represented by the sign $\% $. Percentage has no dimensions that means they are dimensionless numbers. We can express percentage in both decimal and fraction forms. Each percentage problem has three possible unknown or variables. These variables are percent, part and the base. To solve percentage problems we need to recognize these unknown variables first. Here in the given question $120$ is percent which we have calculated, $17$ is base and $20.4$ is the part.