Q19. - Algebra 1

Question

Use the percent proportion to find each number.

1 is what percent of 400?

Step-by-Step Solution

Answer

1 is 0.25% of 400.

Step 1. Definition of percentage.

A percentage is a ratio that can be expressed as a fraction of 100.

Step 2. Assumptions and apply the definition of percentage.

Let x percent of 400 is 1. 

Apply the definition of percentage. So,

$x\%\times 400=1$

Step 3. Calculations.

$$\begin{gathered} x\%\times 400=1 \\ \frac{x}{100}\times 400=1 \\ \frac{x}{100}=\frac{1}{400} \\ x=\frac{100}{400} \\ x=\frac{1}{4} \\ x=0.25 \end{gathered}$$

Hence, the value of the number such that 400 percent of that number is 1 is 0.25%.