Question

Use a proportion to answer the question. What number is 65% of 120?

Short answer

The number 78 is 65% of 120.

Step-by-step solution

Step 1. Given Information.

The percentage is 65%.

Step 2. Calculation.

Let $x$be the number.

Write percentage as a fraction.

Therefore,

$\frac{65}{100}=\frac{x}{120}$

Multiply both sides of the equation by 120 to isolate the variable on one side of the equation.

$\begin{array}{c}\frac{65}{100}\times 120=120\times \frac{x}{120}\\ x=78\end{array}$

Step 3. Conclusion.

The number 78 is 65% of 120.