# What is the percent change of 1 to 12?

##### 1 Answer

**(a)** 12 is

**(b)** The *increase* from 1 to 12 is

(That is, 12 is 1100% *more than* 1.)

#### Explanation:

**(a)** On a scale where the number

In math words:

"1 is to 100% as 12 is to what?"

#1/(100%) = 12/(square)#

Solving for the box, we get

#square = (12 xx 100%) / 1" " = 1200%#

**(b)** If we are interested in the increase (or the *change* from 1 to 12, we do the same thing, but we compare "1 is 100%" to the *difference* between 12 and 1.

#1/(100%) = (12-1)/(square)#

Solving for the box:

#square = (11 xx 100%)/1 " "=1100%#

This may seem rather large, but we remember that 12 itself is already 12 times larger than 1, and 1 is like our whole (our 100%). So it makes sense that a number that's 12 times larger than what we're calling 100% would itself be considered 1200%.