Find Percent Given a Part and a Whole Using the Percent Proportion

A proportion that can be used to determine percent's of numbers. Percent Proportion A proportion that can be used to determine percent's of numbers.

Part In a percent proportion, the number being compared to the whole quantity. Usually says “is” before the number

Whole In a percent proportion, the whole quatntity or the number to which the part is being compared Usually says “of” before the number

Usually has a % sign behind the number Percent Usually has a % sign behind the number

Percent Proportion Questions 15 is what percent of 25? 9 is 45% of what number? 65% of 15 is what?

All of these questions can be answered using the percent proportion 𝑃𝑎𝑟𝑡 (𝑖𝑠) 𝑊ℎ𝑜𝑙𝑒 (𝑜𝑓) = 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 100

= Part (is) percent Whole(of) 100 If we set things up in a proportion, then you can find any of the 3 parts Part (is) Whole(of) percent 100 =

= 100 Part (is) Whole (of) percent 100 Examples Hint: Do you know the part, whole or percent? What is 5% of 180? part (is) whole (of) 100 Part (is) Whole (of) percent 100 =

= 100 part whole percent 100 Examples Hint: Do you know the part, whole or percent? $4 is what percent of $50? part (is) whole (of) 100 part whole percent 100 =

= 100 part whole percent 100 Examples Hint: Do you know the part, whole or percent? 54 is 45% of what number? part (is) whole (of) 100 part whole percent 100 =

= 100 part whole percent 100 Examples Hint: Do you know the part, whole or percent? What percent of 200 is 5? part (is) whole (of) 100 part whole percent 100 =

= 100 part whole percent 100 What percent of 50 shirts is 35 shirts part (is) whole (of) 100 part whole percent 100 =

= 100 part whole percent 100 4% of how many days is 56 days part (is) whole (of) 100 part whole percent 100 =

Joe has 80 books and has read 32% of them. How many books has he read? 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

George paid tax of $2. 25 when he bought groceries George paid tax of $2.25 when he bought groceries. If the tax rate was 5%, how much did his groceries cost? 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

Bill is in a class of 17 boys and 35 girls (52 students in the class) Bill is in a class of 17 boys and 35 girls (52 students in the class). 40% of the students in the class take the bus to school. How many students take the bus to school? 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

Miss Holman gave a $5.00 tip to a waitress for serving a meal costing $28.00. What percent of the bill was her tip? (round to the nearest percent) 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

A survey of 1,000 people was done by New York Times A survey of 1,000 people was done by New York Times. 80% of the people did not know the name of their representative in Congress. How many of the 1,250 people knew the name of the Congressman? 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

The sales tax in the town where Amanda lives is 7% The sales tax in the town where Amanda lives is 7%. Amanda paid $35 in sales tax on a new stereo. What was the price of the stereo? 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100

On an 75 question test, LeeBeth missed 15 questions On an 75 question test, LeeBeth missed 15 questions. What percent did she miss? What percent did she get right? 15 75 = 𝑥 100 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100 75x = 1500 X = 20% missed 80% right

Bill is in a class of 17 boys and 35 girls (52 students in the class) Bill is in a class of 17 boys and 35 girls (52 students in the class). 40% of the students in the class take the bus to school. How many students do NOT take the bus to school? 𝑝𝑎𝑟𝑡 (𝑖𝑠) 𝑤ℎ𝑜𝑙𝑒 (𝑜𝑓) = % 100