Solving Percent 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 35% of 20, calculate 20 * 0.35 = 7.

Front

What is the formula to find what percent one number is of another?

Back

The formula is: (Part/Whole) * 100. For example, to find what percent 27 is of 18, use (27/18) * 100 = 150%.

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 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

If 13 is 26% of a number, how do you find that number?

Back

Use the formula: Number = Part / (Percent/100). Here, Number = 13 / (26/100) = 50.

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

How do you find the total when given a part and its percentage?

Back

Use the formula: Total = Part / (Percentage/100). For example, if 7 is 35% of a total, Total = 7 / (35/100) = 20.

Front

What is 66.6% of 18?

Back

66.6% of 18 is calculated as 18 * 0.666 = 12.