44.54 is what percent of 512.13 - 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 512.13 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 512.13, so we can write it down as 100%=512.13.
4. We know, that x% equals 44.54 of the output value, so we can write it down as x%=44.54.
5. Now we have two simple equations:
1) 100%=512.13
2) x%=44.54
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%=512.13/44.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.54 is what percent of 512.13

100%/x%=512.13/44.54
(100/x)*x=(512.13/44.54)*x       - we multiply both sides of the equation by x
100=11.498203861697*x       - we divide both sides of the equation by (11.498203861697) to get x
100/11.498203861697=x
8.6970105246715=x
x=8.6970105246715

now we have:
44.54 is 8.6970105246715% of 512.13