Percent Problems

Front

What is a percentage?

Back

A percentage is a fraction expressed as a part of 100. It represents how much of one quantity is contained in another.

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 * 0.20 = 10.

Front

What is the formula to find the whole when given a percentage and a part?

Back

The formula is: Whole = Part / (Percentage / 100). For example, if 20 is 25% of a number, the whole is 20 / (25 / 100) = 80.

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) * 100 = 25%.

Front

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

Back

Percentages, decimals, and fractions 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 (A) is of another number (B), use the formula: (A / B) * 100. For example, to find what percent 20 is of 80, calculate (20 / 80) * 100 = 25%.

Front

What is the formula for calculating the percentage increase?

Back

The formula for percentage increase is: ((New Value - Original Value) / Original Value) * 100.

Front

What is the formula for calculating the percentage decrease?

Back

The formula for percentage decrease is: ((Original Value - New Value) / Original Value) * 100.

Front

How do you solve for a number when given a percentage of it?

Back

To solve for a number when given a percentage of it, use the formula: Number = Given Percentage / (Percentage Rate / 100). For example, if 30 is 15% of a number, the number is 30 / (15 / 100) = 200.

Front

What does it mean if a number is a certain percentage of another number?

Back

It means that the first number is that fraction of the second number. For example, if 50 is 25% of 200, it means 50 is one-fourth of 200.