Solving Percent Word Problems

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

To calculate the percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 30% of 200, calculate 200 x 0.30 = 60.

Original Price = Sale Price / (1 - Discount Rate). For example, if a jacket is $45 and is 75% of the original price, the original price is $45 / 0.75 = $60.

To find the original number, divide the part by the percentage (in decimal form). Original Number = 120 / 0.30 = 400.

It means that the price has been reduced by that percentage from its original price.

Total Amount = Part / (Percentage in decimal form). For example, if 250 grams is 40% of the total, Total = 250 / 0.40 = 625 grams.

Percentage = (Part / Whole) x 100. This formula helps to understand how much a part represents of the whole.

To calculate tax, multiply the salary by the tax rate (in decimal form). For example, for a salary of $12,800 and a tax rate of 15%, Tax = $12,800 x 0.15 = $1,920.

A discount is a reduction in the price of an item, often expressed as a percentage of the original price.

Original Price = Sale Price / (1 - Discount Rate). Original Price = $15 / 0.20 = $75.