Percent Proportions

A percent proportion is a mathematical equation that shows the relationship between a part, a whole, and a percentage. It is often expressed as $$\frac{part}{whole} = \frac{percent}{100}$$ .

To find what percent one number (part) is of another number (whole), use the formula: $$\frac{part}{whole} \times 100 = percent$$ .

The formula to find the part is: $$part = \frac{percent}{100} \times whole$$ .

The formula to find the whole is: $$whole = \frac{part}{percent} \times 100$$ .

Set up the proportion as: $$\frac{5}{x} = \frac{10}{100}$$ .

The missing part is the 'whole'.

To calculate the percent of a number, multiply the number by the percent (as a decimal). For example, to find 35% of 590, calculate: $$590 \times 0.35 = 206.5$$ .

To find the percent, use the formula: $$\frac{18}{25} \times 100 = 72$$ .

The relationship is defined by the equation: $$\frac{part}{whole} = \frac{percent}{100}$$ .

If a number is 100% of another number, it means it is equal to that number.