# 10% of what equals 5?

##### 2 Answers

See a solution process below:

#### Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 10% can be written as

When dealing with percents the word "of" means "times" or "to multiply".

Finally, lets call the **"(blank)"**: "n".

Putting this altogether we can write this equation and solve for

10% of

10% of 50 = 5

#### Explanation:

To find 10% of any number, move the decimal point to make it one place smaller.

Ex:

10% of 100 = 10

10% of 250 = 25

10% of 60 = 6

10% of 121 = 12.1

10% of 250.5 - 25.05

10% of 60.003 = 6.0003

10% of 0.44 = 0.044

10% of 0.003 = 0.0003

.......................

10% of a number equals the amount you would have to take ten times in a row to bring back the original number.

Ex:

... and

...................................

Clearly you can just find 10% of 50 by multiplying:

But I don't like to encourage students to solve "10 percent" problems that way because the answers should be spontaneous.

Here's the real reason that the answer is "50" to the question

"10% of **_** = 5"

It's because **10% of 50 = 5**

is something you know *automatically.*

You will *automatically* know all 3 ways to complete that math sentence when you automatically know

**10% of 50 = 5**

1) 10% of 50 equals how much?

10%

Answer: **10% of 50 = 5**

2) 10% of what number equals 5?

10%

Answer: **10% of 50 = 5**

3) What percent of 50 is 5?

?? %

Answer: **10% of 50 = 5**

These questions are all just three different "fill in the blank" questions to complete the automatic fact that

0.10

**10% of 50 = 5**