Question

What is the percent of change if 90 is decreased to 82

Answer 1

Answer: - 8.89%

I am going to explain you in detail ir order to help you to be able to do this kind of problems by yourself.

The definition of percent change, %, is:

          change
% = ---------------- * 100
        base value

The base value is from where you start or the value for which you want to asses the variation.

So, in this case the base value is 90 (starting value).

The change is final value - initial value = 82 - 90 = - 8. The negative sign means that the value decreased.

So, following the formula you get:

         82 - 90                - 8
% =  ----------- * 100 = -------- * 100 = - 8.89
            90                     90

Answer: the percent of change is - 8.89 %, meaning that the value decreased 8.89%.

Answer 2

The difference 82-90=-8. -8/90=-0.0888...=-8.9 percent (it's negative because it has decreased). 90 is decreased by 8.9 percent when it's decreased to 82.