Percent 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 calculate the percentage of a number?

Back

To calculate the percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 20% of 50, calculate 50 * 0.20 = 10.

Front

What does it mean to find the percent of a total?

Back

Finding the percent of a total means determining what portion of the total amount is represented by a specific number. For example, if 30 out of 100 students passed, then 30% passed.

Front

How do you convert a fraction to a percent?

Back

Front

What is the formula to find the percent increase?

Back

The formula for percent increase is: \( \text{Percent Increase} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \)

Front

What is the formula to find the percent decrease?

Back

The formula for percent decrease is: \( \text{Percent Decrease} = \frac{\text{Old Value} - \text{New Value}}{\text{Old Value}} \times 100 \)

Front

If a test has 50 questions and a student answers 40 correctly, what percent did they get correct?

Back

The student got 80% correct. (Calculation: \( \frac{40}{50} \times 100 = 80\% \))

Front

If 10 out of 40 students failed a test, what percent passed?

Back

75% of the students passed. (Calculation: 40 - 10 = 30 passed; \( \frac{30}{40} \times 100 = 75\% \))

Front

How do you find the number of items represented by a percent?

Back

To find the number of items represented by a percent, multiply the total number of items by the percent (in decimal form). For example, 30% of 200 is 200 * 0.30 = 60.

Front

What is the relationship between fractions, decimals, and percents?

Back