Percentage and Discount Problems

Front

What is a percentage?

Back

A percentage is a way of expressing a number as a fraction of 100. It represents how much of something there is out of a total.

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 30% of 90, calculate 90 * 0.30 = 27.

Front

What does 'discount' mean?

Back

A discount is a reduction in the price of a product or service, usually expressed as a percentage of the original price.

Front

How do you find the final price after a discount?

Back

To find the final price after a discount, subtract the discount amount from the original price. For example, if an item costs $100 and has a 20% discount, the discount is $20, so the final price is $80.

Front

What is the formula to find the original price before a discount?

Back

To find the original price before a discount, divide the sale price by (1 - discount rate). For example, if the sale price is $80 and the discount is 20%, the original price is $80 / (1 - 0.20) = $100.

Front

If 25% of a number is 8, what is the number?

Back

To find the number, divide 8 by 0.25. The number is 32.

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 = 0.25, which is 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 a shirt originally costs $40 and is on sale for 30% off, what is the sale price?

Back

The discount is $40 * 0.30 = $12. The sale price is $40 - $12 = $28.

Front

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

Back

To find what percentage one number is of another, divide the first number by the second number and multiply by 100. For example, to find what percentage 27 is of 90, calculate (27 / 90) * 100 = 30%.