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 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 50 x 0.20 = 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 24 is 75% of a total, Total = 24 / 0.75 = 32.

Front

If 20% of a number is 72, what is the number?

Back

To find the number, use the formula: Number = Part / (Percentage in decimal form). So, Number = 72 / 0.20 = 360.

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 is the relationship between percentages, fractions, and decimals?

Back

Percentages, fractions, and decimals are different ways to represent the same value. For example, 50% = 0.50 = 1/2.

Front

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

Back

To find what percent one number (Part) is of another (Whole), use the formula: (Part / Whole) x 100. For example, (12 / 30) x 100 = 40%.

Front

If a student answers 24 out of 30 questions correctly, what percent did they score?

Back

To find the percentage, use the formula: (Correct Answers / Total Questions) x 100. So, (24 / 30) x 100 = 80%.

Front

What does it mean if 75% of a group is a certain number?

Back

It means that the number represents three-quarters of the total group. For example, if 75% of a group is 24, then the total group size is 32.

Front

How do you round a percentage to the nearest whole number?

Back

To round a percentage to the nearest whole number, look at the decimal. If it's 0.5 or higher, round up. If it's less than 0.5, round down.