Percents & Proportions

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What is a percent?

Back

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

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How do you calculate the percent of a number?

Back

To calculate the percent of a number, multiply the number by the percent (as a decimal). For example, to find 25% of 200, calculate 200 x 0.25 = 50.

Tags

CCSS.6.RP.A.3C

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Tags

CCSS.7.RP.A.2A

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How do you find the total amount from a percent?

Back

To find the total amount from a percent, divide the part by the percent (as a decimal). For example, if 30 is 20% of a number, the total is 30 / 0.20 = 150.

Tags

CCSS.6.RP.A.3C

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What is a commission?

Back

A commission is a fee paid to an employee based on the sales they make, usually expressed as a percentage of the sales amount.

Tags

CCSS.6.RP.A.3B

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How do you calculate a discount?

Back

To calculate a discount, multiply the original price by the discount rate (as a decimal) and subtract that amount from the original price. For example, a 25% discount on a $40 item is $40 x 0.25 = $10, so the sale price is $40 - $10 = $30.

Tags

CCSS.6.RP.A.3C

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What is a markup?

Back

A markup is the amount added to the cost price of goods to cover overhead and profit, usually expressed as a percentage of the cost price.

Tags

CCSS.6.RP.A.3C

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How do you calculate the percent increase?

Back

To calculate the percent increase, subtract the original value from the new value, divide by the original value, and multiply by 100. For example, if a price increases from $50 to $60, the percent increase is ((60 - 50) / 50) x 100 = 20%.

Tags

CCSS.6.RP.A.3C

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What is the formula for finding the part in a percent problem?

Back

The formula is: Part = Total x Percent (as a decimal). For example, to find 15% of 200, Part = 200 x 0.15 = 30.

Tags

CCSS.6.RP.A.3C

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If 40% of a class of 30 students are girls, how many girls are in the class?

Back

To find the number of girls, calculate 30 x 0.40 = 12 girls.

Tags

CCSS.6.RP.A.3C