Understanding Percentages

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What is the definition of a percentage?

A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, %.

How do you convert a decimal to a percentage?

To convert a decimal to a percentage, multiply the decimal by 100 and add the percent sign, %.

How do you convert a percentage to a decimal?

To convert a percentage to a decimal, divide the percentage by 100 and remove the percent sign.

What is 25% of 200?

25% of 200 is 50.

If there are 50 students in a class and 30% are boys, how many boys are there?

There are 15 boys in the class.

How do you express 0.75 as a percentage?

0.75 as a percentage is 75%.

What percentage is equivalent to the fraction 1/4?

The fraction 1/4 is equivalent to 25%.

A shirt originally costs $40. If the price is increased by 10%, what is the new price?

The new price is $44.

How do you calculate the percentage increase between two numbers?

To calculate the percentage increase, subtract the original number from the new number, divide by the original number, and multiply by 100.

What does it mean when something is 100%?

It means it is the whole or complete thing.

If 70% of a number is 56, what is the number?

The number is 80.

How do you find what percent one number is of another?

To find the percent one number is of another, divide the part by the whole and multiply by 100.

What is 150% of 80?

150% of 80 is 120.

If a discount of 20% is applied to a $50 item, what is the final price?

The final price is $40.

How much is a 15% tax on a $200 purchase?

A 15% tax on a $200 purchase is $30.





Test Your Knowledge

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1. What is the definition of a percentage?

A percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, %.

A percentage is simply a decimal number between 0 and 1.

A percentage is a measure used to express the likelihood of an event occurring.

A percentage is an absolute measure of quantity.

2. How do you convert a decimal to a percentage?

Divide the decimal by 100 and subtract 100.

Raise the decimal to the power of 100.

To convert a decimal to a percentage, multiply the decimal by 100 and add the percent sign, %.

Add 100 to the decimal and convert to a ratio.

3. How do you convert a percentage to a decimal?

Multiply the percentage by 10.

To convert a percentage to a decimal, divide the percentage by 100 and remove the percent sign.

Divide the percentage by 1000.

Add the percentage to 1 and express as a fraction of 100.

4. What is 25% of 200?

75

100

50

25

5. If there are 50 students in a class and 30% are boys, how many boys are there?

20

15

30

10

6. How do you express 0.75 as a percentage?

0.75 as a percentage is 75%.

74%

7.5%

750%

7. What percentage is equivalent to the fraction 1/4?

50%

15%

25%

75%

8. A shirt originally costs $40. If the price is increased by 10%, what is the new price?

$45

$50

$42

$44

9. How do you calculate the percentage increase between two numbers?

To calculate the percentage increase, subtract the original number from the new number, divide by the original number, and multiply by 100.

Divide the difference by the new number and multiply by 10.

Subtract the original number from the new number and divide by the new number.

Add the two numbers together and divide by 2.

10. What does it mean when something is 100%?

It is a half portion.

It is one quarter of the thing.

It means it is the whole or complete thing.

It represents a nominal value.

11. If 70% of a number is 56, what is the number?

The number is 80.

The number is 70.

The number is 50.

The number is 100.

12. How do you find what percent one number is of another?

Multiply the two numbers and divide by 100.

Subtract one number from the other and multiply by 10.

To find the percent one number is of another, divide the part by the whole and multiply by 100.

Divide the whole by the part and multiply by 100.

13. What is 150% of 80?

130

120

150

100

14. If a discount of 20% is applied to a $50 item, what is the final price?

$45

$42

$40

$35

15. How much is a 15% tax on a $200 purchase?

A 15% tax on a $200 purchase is $30.

$25

$20

$35