PERCENT WORD PROBLEMS
Percent word problems have one general form:
_____% of whole amount = part amount
Problem 1: FINDING THE PERCENT: What percent of 75 is 25?
Solution: Let’s use x to represent the percent we need to find.
x (75) = 25
Divide BOTH sides by 75:
x(75) = 25
75 75
x = .33333 ¬ this is a decimal number.
Expressed as a percent:
x = 33 1/3%
Problem 2: FINDING THE WHOLE AMOUNT: 50 is 75% of what number?
Solution: Let’s use x to represent the amount we need to find, the whole amount.
75%(x)= 55
Rename the percent to a decimal number:
.75x = 50
Divide BOTH sides by .75:
.75x = 50
.75 .75
x = 66.6666 this ia a decimal number
x = 66 2/3 and this is the WHOLE amount.
Problem 3: FINDING THE PART AMOUNT: What number is 40% of 88?
Let’s use x to represent the part amount we need to find.
x = 40%(88)
Rename the percent to a decimal number:
x = .40(88)
Multiply to obtain the answer:
x = 35.2 and this is the PART amount.
