Chapter 7, Problem 18CT

To determine

To find: The number.

Answer to Problem 18CT

The number $\text{4}\text{.5 is 0}\text{.9\% of 500}\text{.}$

Explanation of Solution

Given information: $4.5$is $0.9\%$ of what number?

Calculation: Percent $(\%)$ means ‘out of $100$ ’ and when dealing with percents the word ‘of’ means ‘times or to multiply’.

Let, The number we are looking for is $x\text{.}$

  $\text{Therefore, }4.5\text{ is }0.9\%\text{ of }x$

Hence, $0.9\%$ can be written as $\frac{0.9}{100}$ and $0.9\%\text{ of }x$ can be written as $\frac{0.9}{100}\times x$ .

Let’s find the value of $x$ ,

  $\begin{array}{c}\frac{0.9}{100}\times x=4.5\\ x=\frac{4.5\times 100}{0.9}\\ x=5\times 100\\ x=500\end{array}$

Hence, The number $\text{4}\text{.5 is 0}\text{.9\% of 500}\text{.}$