Finding a percentage
Finding a percentage by expressing the rate as a decimal and multiplying it by the base is the goal of this lesson.
From the example in the image below, we have three important terms to define when finding a percentage.
Rate: The rate is the percent
Percentage: The result obtained when a number is multiplied by a percent
Base: The base is the amount you are taking a percent of
For instance, take a good look at the following percent sentence:
40 % of 60 is 24
40% is the rate
60 is the base
21 is the percentage
Finding a percentage with a couple more examples
Example #1: Find 25% of 100
Percentage = Rate × Base
Percentage = 25% × 100
Percentage = 0.25 × 100
Percentage = 25
Example #2: What number is 75% of 200?
Percentage = Rate × Base
Percentage = 75% × 200
Percentage = 0.75 × 200
Percentage = 150
Example #3: x is 20% of 20. What is x?
Percentage = Rate × Base
Percentage = 20% × 20
Percentage = 0.20 × 20
Percentage = 4
Notice that you can also find the percentage by converting the rate into a fraction before multiplying it by the base. We show how to do this for example #1.
Example #4: Find 25% of 100
Percentage = Rate × Base
Percentage = 25% × 100
Percentage = 1/4 × 100
Percentage = 1/4 × 100/1
Percentage = (1× 100)/(4 × 1)
Percentage = 100/4
Percentage = 25
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