Solving Percent Word Problems

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 the percentage of a number?

Back

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.

Front

What is the formula to find the original price when given a sale price and the percent discount?

Back

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.

Front

If 30% of a number is 120, how do you find the original number?

Back

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

Front

What does it mean if a price is marked down by a certain percentage?

Back

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

Front

How do you find the total amount if you know a part and its percentage?

Back

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

Front

What is the relationship between percentage, part, and whole?

Back

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

Front

How do you calculate tax from a salary?

Back

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.

Front

What is a discount?

Back

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

Front

If a shirt costs $15 after an 80% discount, what was the original price?

Back

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