Question

Use a proportion to answer the question. What percent of 90 is 40?

Short answer

The number 40 is $44\frac{4}{9}\%$ of 90.

Step-by-step solution

Step 1. Given Information.

The number is 90.

Step 2. Calculation.

Let $x$ be the percentage.

Write percentage as a fraction.

Therefore,

$\frac{40}{90}=\frac{x}{100}$

Multiply both sides of the equation with 100 to isolate the variable on one side of the equation.

$\begin{array}{c}\frac{40}{90}\times 100=\frac{x}{100}\times 100\\ x=\frac{400}{9}\\ =44\frac{4}{9}\end{array}$

Step 3. Conclusion.

The number 40 is $44\frac{4}{9}\%$ of 90.