Answer:
10% no rounding really necessary.
Step-by-step explanation:
Percent of reduction is basically asking, what do you need to multiply the original by to get the new number. So it's algebra.
40x = 36
x = 36/40
x = .9
So this means 36 is 90% of 40. So how much of a percent was taken away? 10. So that means it is 10% off.
if it helps you can think of percent increase or decrease like this . If you have some original value P and want to reduce/ increase by a percent x you would write it out like this.
P + x*P = P(1+x) where of course x is negative if you are decreasing. And you want x to be written as a decimal, so 34% would be .34 So in this case it would look like this.
36 = 40(1-x)
.9 = 1-x
-.1 = -x
.1 = x
So that's another way to get to the answer.
