Percent Proportion Word Problems

Front

What is a percent?

Back

A percent is a ratio that compares a number to 100. It is often used to express how much of something there is in relation to a whole.

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 40% of 30, calculate 30 * 0.40 = 12.

Front

What does it mean if 40% of a class are girls?

Back

It means that out of every 100 students, 40 are girls. In a class of 30 students, this means there are 12 girls and 18 boys.

Front

If 60% of a budget is spent, how do you find the total budget?

Back

If 60% of the budget equals a known amount (e.g., $300), divide that amount by 0.60. For example, $300 / 0.60 = $500 total budget.

Front

What is the formula to find the number of items based on a percentage?

Back

The formula is: Number of items = Total items * (Percentage / 100). For example, to find 30% of 90 employees, calculate 90 * 0.30 = 27 employees.

Front

How do you find the number of correct answers from a percentage?

Back

To find the number of correct answers, multiply the total number of questions by the percentage (in decimal form). For example, for 60 questions and 30% correct, calculate 60 * 0.30 = 18 correct answers.

Front

What does it mean if a pitcher won 80% of his games?

Back

It means that out of every 100 games, he won 80. If he pitched 10 games, he won 8 games (10 * 0.80 = 8).

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, 40% becomes 0.40.

Front

What is the relationship between percentages and fractions?

Back

Percentages can be expressed as fractions. For example, 25% is equivalent to 25/100 or 1/4.

Front

If 30% of employees work part-time, how do you find the number of part-time employees?

Back

Multiply the total number of employees by the percentage (in decimal form). For 90 employees, calculate 90 * 0.30 = 27 part-time employees.