18 is 36% of 50.
<u>Solution:
</u>
Need to determine what percent of 50 is 18.
Let's assume x % of 50 is 18.
x % can be written in fraction as ![\frac{x}{100}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B100%7D)
Hence x % of 50 is written as,
![\frac{x}{100} \times 50=18](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B100%7D%20%5Ctimes%2050%3D18)
![\begin{array}{l}{\Rightarrow \frac{x}{2}=18} \\ {\Rightarrow x=18 \times 2=36 \%}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5CRightarrow%20%5Cfrac%7Bx%7D%7B2%7D%3D18%7D%20%5C%5C%20%7B%5CRightarrow%20x%3D18%20%5Ctimes%202%3D36%20%5C%25%7D%5Cend%7Barray%7D)
So 18 is 36% of 50.
This can also be determined by another method.
18 out of 50 can also be written as 18/50
Percentage is equal to numerator when denominator is 100.
So we need to find equivalent rational number of
where denominator = 100
On multiplying numerator and denominator by 2 we get
![\frac{18 \times 2}{50 \times 2}=\frac{36}{100}=36 \%](https://tex.z-dn.net/?f=%5Cfrac%7B18%20%5Ctimes%202%7D%7B50%20%5Ctimes%202%7D%3D%5Cfrac%7B36%7D%7B100%7D%3D36%20%5C%25)
Hence 18 is 36% of 50.