Exercise Write 24% as a decimal. 0.24

Exercise Write 157% as a decimal. 1.57

Exercise 1 2 Write 25 % as a decimal. 0.255

Exercise Solve the proportion. x 20 15 100 = x = 3

Exercise Solve the proportion. x 150 50 100 = x = 75

Percent Formula The percent of the whole is equal to the part: percent x whole = part.

Example 1 Find 5% of $115 by the formula method. 5% = 0.05 percent × whole = part 0.05(115) = part $5.75 = part

Proportion Method The part is to the whole as the percent is to 100: part whole percent 100 = .

Example 2 Find 104% of 250 by the proportion method. part whole = percent 100 part 250 = 104 100 100(part) = 250(104) 100(part) = 26,000 part = 260

Example 3 Mr. Ward decided that he would give an additional 2 % above his tithe, or 12 % total. Find 12 % of $4,500. 1 2 1 2 1 2 12 % 1 2 = 12.5% = 0.125 0.125 x 4,500 = part $562.50 = part

Example 4 What percent of 12 is 16? percent x whole = part p x 12 = 16

Example 4 What percent of 12 is 16? 1.33 12 16.00 1 3 p = 1.33 12 40 12 16.00 1.33 12 40 36 4 p = 1.33 1 3 p = 133 % 1 3

Example 5 108 is what percent of 150? Solve by using a proportion. Round to the nearest tenth. 108 150 = p 100 150p = 10,800 150 p = 72 108 is 72% of 150.

Example 6 Eight is 16% of a number. Find the number by using the formula. 0.16 x w = 8 0.16w = 8 0.16 w = 50 The whole amount is 50.

Example 7 28% of what number is 182? Solve by using a proportion. = 28 100 28w = 18,200 28 w = 650 The whole amount is 650.

Forms of the % equation: percent x whole = part part whole percent = percent part whole =

Example Find 30% of 69. 20.7

Example 30% of what number is 69? 230

Example 24 is what percent of 48? 50%

Example 96 is what percent of 48? 200%

Example 17 is what percent of 34? 50%

Example 0.03 is what percent of 300? 0.01%

Example What percent on a test is a score of 62 out of 80? 77.5%

Example If the standard tip at a restaurant is 15%, how much was the total, including tip, on a bill of $46? (This question is equivalent to the question “what is 115% of 46?”) $52.90

Example It is recommended that no more than 12% of one month’s income go toward a car payment. How much of a car payment can someone afford on an income of $2,720 a month? $326.40

Example Certain people believe it is difficult for a church to grow after reaching 90% of capacity because people don’t want to feel crowded. If a church can hold 600 people, how many people can comfortably attend the church without feeling crowded? 540