First, calculate the difference between both populations:
12500 - 8000 = 4500
next, determine what is the associated percent of 4500 related to 8000, as follow:
(x/100)8000 = 4500 solve for x
x = 4500(100/8000)
x = 56.25
hence, the increase of the populatio in between 2005 and 2012 was 56.25%