Percent Word Problems

A percent is a way to express a number as a fraction of 100. It is denoted by the symbol '%'. For example, 50% means 50 out of 100.

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 x 0.20 = 10.

A discount is a reduction in the original price of an item, expressed as a percentage. For example, a 30% discount on a $100 item means you save $30.

To find the new price after a discount, subtract the discount amount from the original price. For example, if an item costs $50 and has a 20% discount, the discount is $10, so the new price is $40.

Sales tax is a percentage added to the price of goods and services at the time of purchase. It is calculated based on the original price.

To calculate the total cost including sales tax, multiply the original price by the sales tax rate (in decimal form) and add it to the original price. For example, for a $100 item with a 5% tax, total cost = $100 + ($100 x 0.05) = $105.

If a certain percentage of items are rejected, it means that a specific portion of the total items does not meet the required standards. For example, if 5% of 200 items are rejected, then 10 items are rejected.

To find the number of items that meet a certain percentage, multiply the total number of items by the percentage (in decimal form). For example, to find 80% of 50 items, calculate 50 x 0.80 = 40.

The formula to find the percentage of a total is: (Part/Total) x 100 = Percentage. For example, if 20 out of 50 students passed, the percentage is (20/50) x 100 = 40%.

To convert a percentage to a decimal, divide the percentage by 100. For example, 25% as a decimal is 25 ÷ 100 = 0.25.