Question

Solve the percent problem. \(16 \%\) of what number is \(8 ?\)

Short answer

The unknown number is \(50\)

Step-by-step solution

Conversion of Percentage to Decimal

Convert the percentage to a decimal by dividing it by 100. Hence, \(16\% = \frac{16}{100} = 0.16\)

Set up the Equation

We are given that \(16\%\) (or \(0.16\)) of a certain number is equal to \(8\). Let's call the unknown number x. We set up the equation as follows: \(0.16 \times x = 8\)

Solve for the Unknown

We divide both sides of the equation by \(0.16\) to solve for x: \(x = \frac{8}{0.16}\)

Evaluate

Upon evaluating \(\frac{8}{0.16}\), we find that the unknown number is \(50\)