8.95 is what percent of 415.5 - 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 415.5 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 415.5, so we can write it down as 100%=415.5.
4. We know, that x% equals 8.95 of the output value, so we can write it down as x%=8.95.
5. Now we have two simple equations:
1) 100%=415.5
2) x%=8.95
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%=415.5/8.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.95 is what percent of 415.5

100%/x%=415.5/8.95
(100/x)*x=(415.5/8.95)*x       - we multiply both sides of the equation by x
100=46.424581005587*x       - we divide both sides of the equation by (46.424581005587) to get x
100/46.424581005587=x
2.1540312876053=x
x=2.1540312876053

now we have:
8.95 is 2.1540312876053% of 415.5