Percent Proportions

Front

What is a percent proportion?

Back

A percent proportion is a way to express a part of a whole as a percentage, typically represented as part/whole = percent/100.

Front

How do you calculate a percentage of a number?

Back

To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of 75, calculate 75 * 0.20 = 15.

Front

What is the formula to find what percent one number is of another?

Back

The formula is (part/whole) * 100 = percent.

Front

If 12 out of 30 cars finished a race, how do you find the percentage of cars that finished?

Back

Use the formula: (12/30) * 100 = 40%.

Front

How do you find the whole when given a part and a percentage?

Back

Use the formula: whole = part / (percent/100). For example, if 26 is 5% of a number, the whole is 26 / 0.05 = 520.

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by multiplying the fraction by 100. For example, 1/4 = 0.25 = 25%.

Front

How can you express 40% as a fraction?

Back

40% can be expressed as the fraction 40/100, which simplifies to 2/5.

Front

What is the first step in solving a percent problem?

Back

Identify what is being asked: whether you need to find a percentage of a number, what percent one number is of another, or the whole when given a part and a percentage.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide the percentage by 100. For example, 72% becomes 0.72.

Front

If a student answered 18 questions correctly out of 25, how do you find the percentage of correct answers?

Back

Use the formula: (18/25) * 100 = 72%.