Identify the percent of change as an increase or a decrease 12 inches to 36 inches, increases what is the percent of change ___%

It was an increase of 200%.

Step-by-step explanation:

In order to identfy the percent of the change we need to first find the absolute value, to do that we subtract the final value from the initial one. We have:

absolute difference = 36 - 12 = 24 inches

Since this value is positive it was an increase. Now we need to find the percentage at which it was increased, to do that we can use a rule of three in a way that the original value is 100% and the value we want to know is the percentage for the absolute increase. We do this as follows:

12 inches -> 100%

24 inches -> x %

12*x = 2400

x = 2400/12 = 200 %

It was an increase of 200%.