Percent Word Problems

Front

What is a percent?

Back

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

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

Front

What does it mean to find the 'percent of a total'?

Back

Finding the percent of a total means determining what portion of the total amount is represented by a given percentage.

Front

How do you convert a fraction to a percent?

Back

To convert a fraction to a percent, divide the numerator by the denominator and then multiply by 100. For example, 1/4 = (1 ÷ 4) x 100 = 25%.

Front

What is a tip in terms of percentage?

Back

A tip is a percentage of the total bill amount that is given as a gratuity for service. For example, a 15% tip on a $100 bill is $15.

Front

How do you find the total amount after a percentage increase?

Back

To find the total amount after a percentage increase, multiply the original amount by the percentage increase (in decimal form) and add it to the original amount. For example, for a 10% increase on $200: $200 + ($200 x 0.10) = $220.

Front

What is a sales tax?

Back

Sales tax is a percentage added to the price of goods and services, collected by the seller and paid to the government. For example, if a $100 item has a 5% sales tax, the total cost is $105.

Front

How do you calculate the original price before a percentage discount?

Back

To calculate the original price before a discount, divide the sale price by (1 - discount rate in decimal form). For example, if an item is $80 after a 20% discount, the original price is $80 ÷ (1 - 0.20) = $100.

Front

What is the formula for calculating the percentage of a number?

Back

The formula for calculating the percentage of a number is: (Part / Whole) x 100 = Percentage.

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. For example, if a price drops from $50 to $30: ((50 - 30) / 50) x 100 = 40% decrease.