Percent Word Problems

Front

What is a percent?

Back

A percent is a way to express a number as a fraction of 100. It is denoted by the symbol '%'.

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 20% of 50, calculate 50 x 0.20 = 10.

Front

What is the formula to find the total number when given a percentage and the part?

Back

The formula is: Total = Part / (Percentage in decimal form). For example, if 25% of a total is 50, then Total = 50 / 0.25 = 200.

Front

How do you find the percentage increase?

Back

To find the percentage increase, subtract the original value from the new value, divide by the original value, and multiply by 100. Formula: ((New Value - Original Value) / Original Value) x 100.

Front

How do you find the percentage decrease?

Back

To find the percentage decrease, subtract the new value from the original value, divide by the original value, and multiply by 100. Formula: ((Original Value - New Value) / Original Value) x 100.

Front

If 80% of a class of 30 students passed a test, how many students passed?

Back

24 students passed (30 x 0.80 = 24).

Front

What is the relationship between fractions and percentages?

Back

Fractions can be converted to percentages by multiplying the fraction by 100. For example, 1/4 = 0.25 x 100 = 25%.

Front

How do you calculate the discount amount?

Back

To calculate the discount amount, multiply the original price by the discount percentage (in decimal form). For example, for a $100 item with a 20% discount, the discount amount is $100 x 0.20 = $20.

Front

What is the final price after applying a discount?

Back

Final Price = Original Price - Discount Amount. For example, if an item costs $100 and has a $20 discount, the final price is $100 - $20 = $80.

Front

If a store has a sale of 15% off, how do you find the sale price?

Back

Sale Price = Original Price - (Original Price x Discount Percentage). For example, for an item priced at $200, Sale Price = $200 - ($200 x 0.15) = $170.