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Introduction to Percentages
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A percentage tells us what part of a whole something is. The following video will explain what percentages mean and where they come from.

Introduction to Percentages

Percent literally means “out of 100,” or “compared to 100.” Percentages are written with the % symbol. If we have half of something it is the same as 50% because 50 is half of 100.

The practice problems in this section use the concept “out of 100” to help you visualize what is happening when we add or subtract a percentage from another amount. We will go into this in more detail in the next few mini-lessons.

### Practice Problems

1. What does a percent mean? (
Solution
Solution:
Out of 100.
)
2. If an item purchased at a store costs $1 and has a sales tax rate of 6%, what will be the total amount paid for the item? ( Video Solution Solution: $$1.06$$ Details: (Video Source | Transcript) ) 3. If a tire store is having a sale for 10% off any tire, and you purchase a tire that normally costs$100, what is the sale price of the tire after the 10% is taken off? (
Solution
Solution: $90 Details: $$100\%$$ represents the original price of the tire. Since the tire is $$10\%$$ off, we can subtract $$10\%$$ from $$100\%$$. $$100\% − 10\% = 90\%$$; so we will be paying $$90\%$$ of the original price. Since the original price is $$100$$, we can follow the same pattern $$100 - 10 = 90$$. ) 4. If you earn 20% commission for any sale you make, and you sell$100 worth of product, how much will you earn for that sale? (
Video Solution
Solution: $20 Details: (Video Source | Transcript) ) 5. If you earn$100 and pay tithing at a rate of 10%, how much money will you pay in tithing? (
Solution
Solution: \$10
Details:
$$100\%$$ represents your earnings. Tithing is $$10\%$$ of what you earned; if you earn $$100$$, then you would pay $$10$$. In this situation the $$90\% = 90$$ of your earnings and $$10\% = 10$$ for tithing.

This 10 by 10 grid holds 100 squares, the blue represents tithing $$10\%$$, and the $$90\%$$ represents the earning after tithing.
)

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