Question

Use a proportion to answer the question. 105 is 84% of what number?

Short answer

The number 105 is 84% of 125.

Step-by-step solution

Step 1. Given Information.

The number is 105.

Step 2. Calculation.

Let $x$ be the number.

Write percentage as a fraction.

Therefore,

$x\times \frac{84}{100}=105$

Multiply both sides of the equation by $\frac{100}{84}$ to isolate the variable on one side of the equation.

$\begin{array}{c}x\times \frac{84}{100}\times \frac{100}{84}=105\times \frac{100}{84}\\ x=125\end{array}$

Step 3. Conclusion.

The number 105 is 84% of 125.