Question

55% of what number is 33

Answer 1

Solution:

Let the number be

$=x$

55% of a number means 55 parts from 100, which is represented below as

$55\%=\frac{55}{100}$

Concept:

55% of a number will be represented below as

$\begin{gathered} =\frac{55}{100}of\text{ x} \\ =\frac{55}{100}\times x \end{gathered}$

55% of what number is 33​, will be represented below as

$\begin{gathered} \frac{55}{100}\times x=33 \\ \frac{55x}{100}=33 \\ \text{cross multiply, we will have} \\ 55x=3300 \\ \text{divide both sides by 55} \\ \frac{55x}{55}=\frac{3300}{55} \\ x=60 \end{gathered}$

Hence,

The number = 60