50.13 is what percent of 54.63 - 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 54.63 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 54.63, so we can write it down as 100%=54.63.
4. We know, that x% equals 50.13 of the output value, so we can write it down as x%=50.13.
5. Now we have two simple equations:
1) 100%=54.63
2) x%=50.13
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%=54.63/50.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.13 is what percent of 54.63

100%/x%=54.63/50.13
(100/x)*x=(54.63/50.13)*x       - we multiply both sides of the equation by x
100=1.0897666068223*x       - we divide both sides of the equation by (1.0897666068223) to get x
100/1.0897666068223=x
91.762767710049=x
x=91.762767710049

now we have:
50.13 is 91.762767710049% of 54.63