8.9 is what percent of 28.53 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 28.53 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 28.53, so we can write it down as 100%=28.53.
4. We know, that x% equals 8.9 of the output value, so we can write it down as x%=8.9.
5. Now we have two simple equations:
1) 100%=28.53
2) x%=8.9
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=28.53/8.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.9 is what percent of 28.53

100%/x%=28.53/8.9
(100/x)*x=(28.53/8.9)*x       - we multiply both sides of the equation by x
100=3.2056179775281*x       - we divide both sides of the equation by (3.2056179775281) to get x
100/3.2056179775281=x
31.195233087978=x
x=31.195233087978

now we have:
8.9 is 31.195233087978% of 28.53