Percent Proportion Word Problems

Front

What is a percent?

Back

A percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

Front

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

Back

To find the total amount, divide the part by the percentage (in decimal form). For example, if 60% of the total is 42, the total is 42 ÷ 0.60 = 70.

Front

What is the formula to calculate the percentage of a number?

Back

The formula is: (Part / Whole) x 100 = Percentage.

Front

If 40% of a class of 30 students are girls, how do you find the number of boys?

Back

First, find the number of girls: 40% of 30 = 12 girls. Then subtract from the total: 30 - 12 = 18 boys.

Front

How do you convert a percentage to a decimal?

Back

To convert a percentage to a decimal, divide by 100. For example, 25% = 25 ÷ 100 = 0.25.

Front

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

Back

It means that out of all the games he pitched, he won 80 out of every 100 games.

Front

How do you calculate the cost of an item if you know the percentage spent?

Back

If you spent 60% of your money on a $300 item, you can find the total money by dividing the cost by the percentage in decimal form: $300 ÷ 0.60 = $500.

Front

What is the relationship between part, whole, and percentage?

Back

The part is the portion of the whole, and the percentage is the part expressed as a fraction of the whole multiplied by 100.

Front

How do you find what percent one number is of another?

Back

Use the formula: (Part / Whole) x 100 = Percentage. For example, to find what percent 12 is of 30, calculate (12 / 30) x 100 = 40%.

Front

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

Back

Calculate the percentage by using the formula: (12 / 30) x 100 = 40%.