Concepts

100% is the same as the whole.

A percentage less than 100% is part of the whole.

Rules

To find the part of the whole, the percentage of the whole, or the number that represents the whole, use the information given to fill in this equation:

$\frac{\mathrm{part}}{\mathrm{whole}}$=$\frac{\mathrm{percent}}{100}$

Solve the equation for the missing variable. 

Example

Match the problem with its correct proportion. Drag the proportion to the correct box.

$\frac{3}{\mathrm{w}}$ = $\frac{75}{100}$

$\frac{\mathrm{p}}{4}$ = $\frac{75}{100}$

$\frac{3}{4}$ = $\frac{\mathrm{n}}{100}$

Solution

What percent of 4 is 3?

$\frac{3}{4}$ = $\frac{\mathrm{n}}{100}$

What number is 75% of 4?

$\frac{\mathrm{p}}{4}$ = $\frac{75}{100}$

3 is 75% of what number?

$\frac{3}{\mathrm{w}}$ = $\frac{75}{100}$

Pre-requisite Skills

Solving proportions using cross products (7.1.6)