Question

What percent of $120$ is $30$?

Answer 1

Hint: From the question given that we have to find the what percent of $120$ is $30$. As we know that percentage means a percentage is a number or ratio that represents a fraction of hundred. As we know that when we have been asked what percentage of X is Y, then the percentage is given by $\dfrac{Y}{X}\times 100$. From this we will get the required answer.

Complete step by step solution:
From the question given we have been asked what percent of $120$ is $30$.
As we know that percentage means a percentage is a number or ratio that represents a fraction of hundred.
As we know that when we have been asked what percentage of X is Y, then the percentage is given by
$\Rightarrow \dfrac{Y}{X}\times 100$
By comparing the formula, we will get here
$\begin{align}
  & \Rightarrow X=120 \\
 & \Rightarrow Y=30 \\
\end{align}$
Now by substituting the values in their respective position we will get,
By substituting we will get,
$\Rightarrow \dfrac{30}{120}\times 100$
By solving further, we will get,
$\Rightarrow \dfrac{1}{4}\times 100$
$\Rightarrow 25\%$

Therefore, the $30$ is $25$ percentage of $120$.

Note: Students should be very careful while doing the percentage formula. If students reverse the values of X and Y that is $\dfrac{120}{30}\times 100$, then the whole answer will be wrong. If students face difficulty in recollecting the formula, they can just convert the words into mathematical form. So, percent of 120 means x% of 120. This is equal to 30, so x% of 120 = 30. Now we can find the value of x easily.