Percent Word Problems

Front

What is a percent?

Back

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

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 75, calculate 75 * 0.20 = 15.

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 80% of a total, Total = 24 / 0.80 = 30.

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 multiply by 100. For example, 1/4 = (1 ÷ 4) * 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% = 0.5 = 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) * 100. For example, (29 / 42) * 100 = 69%.

Front

What is the percent increase formula?

Back

The percent increase formula is: ((New Value - Old Value) / Old Value) * 100.

Front

What is the percent decrease formula?

Back

The percent decrease formula is: ((Old Value - New Value) / Old Value) * 100.

Front

If a student answers 80% of 30 problems correctly, how many problems did they answer correctly?

Back

24 problems (80% of 30 = 30 * 0.80 = 24).

Front

What is 40% of 230?

Back

92 (40% of 230 = 230 * 0.40 = 92).