Percent of a Number & Percent Application

A percent is a ratio expressed as a fraction of 100. It represents a part of a whole.

To calculate the percent of a number, multiply the number by the percent (as a decimal). 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, often expressed as a percentage of the original price.

To calculate the total cost 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 total cost is $100 - $20 = $80.

Sales tax is a percentage added to the price of goods and services, collected by the seller and paid to the government.

To calculate the total cost including sales tax, multiply the original price by the sales tax rate (as a decimal) and add it to the original price. For example, for a $50 item with a 5% tax, the total cost is $50 + ($50 x 0.05) = $52.50.

The formula is: Total Items = (Number of Items / Percent) x 100. For example, if 30 items represent 60%, then Total Items = (30 / 60) x 100 = 50.

Percents are a specific type of fraction where the denominator is always 100. For example, 25% is equivalent to the fraction 25/100.

To convert a percent to a decimal, divide the percent by 100. For example, 75% as a decimal is 75 ÷ 100 = 0.75.

The formula is: Percent of a Number = (Percent / 100) x Number. For example, to find 30% of 200, calculate (30 / 100) x 200 = 60.