Percent Equations

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 39% of 65, calculate 65 * 0.39 = 25.35.

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 98 is of 392, calculate (98/392) * 100 = 25%.

Front

How do you find the original price after a discount?

Back

To find the original price after a discount, divide the sale price by (1 - discount rate). For example, if a computer is $150 after a 25% discount, the original price is 150 / (1 - 0.25) = 200.

Front

What is the relationship between percentages and fractions?

Back

Percentages can be converted to fractions by placing the percentage over 100 and simplifying. For example, 25% = 25/100 = 1/4.

Front

How do you convert a decimal to a percentage?

Back

To convert a decimal to a percentage, multiply the decimal by 100. For example, 0.25 = 0.25 * 100 = 25%.

Front

What is the percent increase formula?

Back

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

Front

What is the percent decrease formula?

Back

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

Front

If 75 is what percent of 150, how do you find the answer?

Back

Use the formula: (Part/Whole) * 100. Here, (75/150) * 100 = 50%.

Front

What does it mean to find a percentage of a total?

Back

Finding a percentage of a total means calculating how much a certain percentage represents out of the total amount.