6-1 Percent Proportion

Front

What is a percent proportion?

Back

A percent proportion is a mathematical equation that shows the relationship between a part and a whole in terms of percentage. It is often expressed as: \( \frac{part}{whole} = \frac{percent}{100} \).

Front

How do you find 30% of a number?

Back

To find 30% of a number, multiply the number by 0.30 (or divide by 100 and then multiply by 30). For example, to find 30% of 20: \( 20 \times 0.30 = 6 \).

Front

What is the formula to calculate the percentage of a part compared to a whole?

Back

The formula to calculate the percentage is: \( \text{Percentage} = \left( \frac{part}{whole} \right) \times 100 \).

Front

If 225 out of 250 seats are sold, what percent of the seats are sold?

Back

To find the percentage of seats sold: \( \frac{225}{250} \times 100 = 90\% \).

Front

What is the formula to find the whole when given a part and a percentage?

Back

The formula is: \( whole = \frac{part \times 100}{percent} \).

Front

How do you calculate the percent of a number that is not sold?

Back

To calculate the percent of a number that is not sold, subtract the sold amount from the total, then use the percentage formula: \( \frac{not\ sold}{total} \times 100 \).

Front

What does it mean if 75 is 20% of a number?

Back

It means that 75 is 20% of some unknown number. You can set up the equation: \( \frac{75}{x} = \frac{20}{100} \) to find \( x \).

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and then multiply by 100. For example, \( \frac{1}{4} = 0.25 \times 100 = 25\% \).

Front

What is the relationship between percentages and proportions?

Back

Percentages are a way to express proportions. A percentage represents a part of a whole in terms of 100. For example, 25% means 25 out of 100.

Front

If 90 is what percent of 450, how do you find the percent?

Back

Set up the equation: \( \frac{90}{450} = \frac{percent}{100} \) and solve for percent.