Question

What percent of $20$ is $30$?

Answer 1

Hint: In simple terms, we can say that, percentages is a relative part of the total term. For example, $\left( {\dfrac{1}{4}} \right)th$ part of 100 can be found by dividing 100 into 4 equal parts. Which will be 25 each. Hence, we can say that one part is $25\% $ of 100. Use this concept to solve the above question. $x\% $ can be written as $\left( {\dfrac{x}{{100}}} \right)$

Complete Step by Step Solution:
Let the $x\% $ of $20 = 30$
Then we can write it as
$\Rightarrow \left( {\dfrac{x}{{100}}} \right) \times 20 = 30$
By simplifying it, we get
$\Rightarrow \left( {\dfrac{x}{5}} \right) = 30$
By cross multiplying, we can write
$\Rightarrow x = 150$

Hence, $150$ percent of $20$ is $30$.

Note:
Every number is $100\% $ of itself. i.e. any number $a$ is $100\% $ of $a$. So we want to calculate what percent $\left( {\dfrac{a}{2}} \right)$ of $a$ is, then we can simply divide $a$ and its percent by 2.
Thus, we get, $\left( {\dfrac{a}{2}} \right)$ is $50\% $ of $a$.
We need to understand that percentage depends on the total relative value that we consider. For example, in the case above, $\left( {\dfrac{a}{2}} \right)$ is $50\% $ of $a$. But $\left( {\dfrac{a}{2}} \right)$ is $100\% $ of itself.