Chapter 6.6, Problem 43CCR

To determine

To find: $12$ is what percent of $400$ .

Answer to Problem 43CCR

  $12$ is $3\%$ percent of $400$

Explanation of Solution

Given information:

  $12$ is what percent of $400$ .

Concept:

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

From given information

  $12$ is what percent of $400$ .

Here

  $\begin{array}{l}y=400\\ \frac{x}{100}\times y=12\end{array}$

Therefore

  $\begin{array}{l}12=\frac{x}{100}\times 400\\ \Rightarrow 12=\frac{400x}{100}\\ \Rightarrow 12=4x\\ \Rightarrow x=\frac{12}{4}\\ \Rightarrow x=3\end{array}$

Therefore,

  $12$ is $3\%$ percent of $400$ .