Question

What percent of $24$ is $18$?

Answer 1

Hint: For this problem we need to calculate the percentage value of $18$ in $24$. For this first we need to calculate the ratio of $18$ and $24$. So, we will write the fraction with $18$ as numerator and $24$ as denominator. Now we will write each term in a factored form so that the common factors will be cancelled and give a simple fraction. After getting the simple fraction to get the percentage value we need to multiply the fraction with $100$ and simplify the equation to get the required result.

Complete step by step answer:
Given numbers are $18$ and $24$.
Too find the percentage value of $18$ in $24$, we are going to write a fraction with $18$ as numerator and $24$ as denominator. The fraction will be
$p=\dfrac{18}{24}$
We can write the number $18$ as $18=6\times 3$ and the number $24$ as $24=6\times 4$. Substituting these values in the above equation, then we will get
$p=\dfrac{6\times 3}{6\times 4}$
Cancelling the number $6$ which is in both numerator and denominator, then the fraction is modified as
$p=\dfrac{3}{4}$
To get the percentage value we are going to multiply the simple fraction with $100$ and placing a percentage symbol, then we will get
$p=\dfrac{3}{4}\times 100\%$
We know that the value of $\dfrac{3}{4}$ is $0.75$. Substituting this value in the above equation, then we will have
$p=0.75\times 100\%$
Simplifying the above value by performing multiplication operation, then we will get
$p=75\%$

Hence $18$ is the $75\%$ of the value $24$.

Note: In this problem they have asked to calculate the percentage value. So, we have followed the above method. In some cases, they may ask to calculate the value of $75\%$ in $24$, then we need to simplify the equation $\dfrac{75}{100}\times 24$ to get the required result.