
percent x whole = part or percent = part/whole or %/100 = part/whole Percentage Problems: For percentage word problems replace "what is" to "n", "is to" to "=" and "of" to "x"
Example: 12 is 50% of what number? Solution: Let 'n' be the unknown number. 12 is 50 % of what number 12 = 0.5 x n So, the equation to solve then is: 0.5 x n =12 Solving for n, we get n = 12/0.5 = 24 This means, 12 is 50 % of 24 Example: 40 is what percent of 160? Solution: Let 'n' be the unknown percent. 40 is what percent of 160? 40 = n x 160 So, the equation to solve then is: 160 x n =40 Solving for n, we get n=40 /160 n=0.25 To make 0.25 into a percent, we multiply it by 100, to get 25 %. This means 40 is 25 % of 160 Example: What percent of 80 is 20? Solution: Let 'n' be the unknown percent. What percent of 80 is 20? n x 80 = 20 So, the equation to solve then is: 80 x n=20 Solving for n, we get n=20 /80 n=0.25 This means, 20 is 25 % of 80 Example: What is 15% of 200? Solution: Convert 15% to number as 15/100 = 0.15 15% of 200 =0.15 x 200 = 30 Example: What percentage difference is the number 12 from the number 16? Solution: The difference is 16  12 = 4 The percentage difference = (4/16) x 100 25% Directions: Solve the following word problems. 