Q11. - Algebra 1

Question

Use the percent proportion to find the following number.

16 is what percent of 40

Step-by-Step Solution

Answer

16 is 40% of 40.

Step 1. Definition of percent.

The percent of a number is defined as the ratio of number and 100.

Step 2. Formula Used.

To find what percent is the number x of any other number y is given by below formula,

$\frac{x}{y}\times 100\%$

Step 3. Find the percent proportion.

$\frac{x}{y}\times 100\%$

Here, $x=16$

$\frac{16}{40}\times 100\%=\frac{1600}{40}\%$

Step 4. Evaluate the expression.

Write numerator and denominator in factored form and then cancel out the common factor.

$$\begin{gathered} \frac{16}{40}\times 100\%=\frac{1600}{40}\% \\ =\frac{40·40}{40}\% \left[\mathrm{divideN}\&\mathrm{Dbycommonfactor}40\right] \\ =\frac{\frac{40}{40}·40}{\frac{40}{40}}\% \\ =\frac{1·40}{1}\% \\ =\frac{40}{1}\% \\ =40\% \end{gathered}$$

Hence, 16 is 40% of 40.