Percent Equation Word Problems

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents how much of something there is out of a total of 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 50, calculate 0.20 x 50 = 10.

Front

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

Back

The formula is: Total = Part / (Percentage in decimal form). For example, if 10 is 20% of a total, then Total = 10 / 0.20 = 50.

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, 1/4 = (1 ÷ 4) x 100 = 25%.

Front

What does it mean if 40% of a class wants extra homework?

Back

It means that out of the total number of students in the class, 40% expressed a desire for extra homework.

Front

If 5 out of 25 students want extra homework, what percent is that?

Back

To find the percentage, divide 5 by 25 and multiply by 100. (5 ÷ 25) x 100 = 20%.

Front

What is the equation to find the number of caffeinated teas served if 40% of 25 teas were caffeinated?

Back

.40 x 25 = p, where p is the number of caffeinated teas.

Front

How do you find the number of correct answers on a test if you know the percentage?

Back

Multiply the total number of questions by the percentage (in decimal form). For example, for 80% of 20 questions: 0.80 x 20 = 16 correct answers.

Front

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

Back

The part is the portion of the whole, and the percentage represents the part in relation to the whole. The formula is: Percentage = (Part / Whole) x 100.

Front

If 13 out of 20 cans are recycled, how do you find the percentage of recycled cans?

Back

Divide 13 by 20 and multiply by 100. (13 ÷ 20) x 100 = 65%.