Percent 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 15% of 200, calculate 200 x 0.15 = 30.

Front

What does it mean to find the total when given a percentage?

Back

To find the total when given a percentage, divide the amount by the percentage (in decimal form). For example, if 80% of a total is $4,000, the total is $4,000 ÷ 0.80 = $5,000.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, 3/4 = (3 ÷ 4) x 100 = 75%.

Front

What is the formula for calculating the tip based on a total bill?

Back

Tip = Total Bill x Tip Percentage (in decimal form). For example, for a $100 bill with a 15% tip, Tip = 100 x 0.15 = $15.

Front

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

Back

To find what percent one number is of another, divide the first number by the second number and multiply by 100. For example, to find what percent 19 is of 20, calculate (19 ÷ 20) x 100 = 95%.

Front

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

Back

The relationship is defined by the formula: Percent = (Part ÷ Whole) x 100. This shows how much of the whole is represented by the part.

Front

How do you calculate the percentage increase or decrease?

Back

Percentage Increase = ((New Value - Old Value) ÷ Old Value) x 100. Percentage Decrease = ((Old Value - New Value) ÷ Old Value) x 100.

Front

If 10% of a number is 50, what is the number?

Back

To find the number, divide 50 by 0.10. So, the number is 50 ÷ 0.10 = 500.

Front

What does it mean if a score is 90% on a test?

Back

It means that the student answered 90 out of 100 questions correctly, or 90% of the total questions.