45.63 is what percent of 54.95 - 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 54.95 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 54.95, so we can write it down as 100%=54.95.
4. We know, that x% equals 45.63 of the output value, so we can write it down as x%=45.63.
5. Now we have two simple equations:
1) 100%=54.95
2) x%=45.63
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%=54.95/45.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.63 is what percent of 54.95

100%/x%=54.95/45.63
(100/x)*x=(54.95/45.63)*x       - we multiply both sides of the equation by x
100=1.204251588867*x       - we divide both sides of the equation by (1.204251588867) to get x
100/1.204251588867=x
83.039126478617=x
x=83.039126478617

now we have:
45.63 is 83.039126478617% of 54.95