46.58 is what percent of 63.95 - 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 63.95 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 63.95, so we can write it down as 100%=63.95.
4. We know, that x% equals 46.58 of the output value, so we can write it down as x%=46.58.
5. Now we have two simple equations:
1) 100%=63.95
2) x%=46.58
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%=63.95/46.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.58 is what percent of 63.95

100%/x%=63.95/46.58
(100/x)*x=(63.95/46.58)*x       - we multiply both sides of the equation by x
100=1.3729068269644*x       - we divide both sides of the equation by (1.3729068269644) to get x
100/1.3729068269644=x
72.838154808444=x
x=72.838154808444

now we have:
46.58 is 72.838154808444% of 63.95