Question

How do you find $44\%$ of $375$?

Answer 1

Hint: The percentage of a number refers to the parts per hundred of that number. In the above question, we are asked to find out the forty four percentage of the given number $375$. This means that we have to find out the forty fourth part per hundred of the number $375$. The forty fourth part of a hundred can be mathematically written as $\dfrac{44}{100}$. And since the term “of” denotes multiplication, we have to multiply the fraction $\dfrac{44}{100}$ by the given number $375$ to get the final required percentage.

Complete step by step solution: Let us write the number given in the above question as
$\Rightarrow n=375$
Now, as stated in the above question, we have to find out forty four percent of the number $375$. We know that the percentage of a number is equal to parts per hundred of the number. So the fourty four percentage means the forty fourth part of a hundred of the given number, which is $375$. The forty fourth part of a hundred is equal to the fraction $\dfrac{44}{100}$, and the term “of” refers to the multiplication. So the forty four percent of the number $375$ is equal to the multiplication of the fraction $\dfrac{44}{100}$ by the number $375$. Therefore, we multiply the above equation by $\dfrac{44}{100}$ to get
$\Rightarrow \dfrac{44n}{100}=\dfrac{44}{100}\times 375$
On solving, we get
\[\Rightarrow \dfrac{44n}{100}=165\]
Or
\[\Rightarrow 44\%n=165\]
Hence, we obtained $44\%$ of $375$ as \[165\].

Note: The percentage of a number is always less than the given number. This is because it is only a part out of its hundred equal parts of the number. So make sure that the percentage of the given number which you have obtained must be less than the original number.