58.3 is what percent of 49.5 - 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 49.5 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 49.5, so we can write it down as 100%=49.5.
4. We know, that x% equals 58.3 of the output value, so we can write it down as x%=58.3.
5. Now we have two simple equations:
1) 100%=49.5
2) x%=58.3
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%=49.5/58.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.3 is what percent of 49.5

100%/x%=49.5/58.3
(100/x)*x=(49.5/58.3)*x       - we multiply both sides of the equation by x
100=0.84905660377358*x       - we divide both sides of the equation by (0.84905660377358) to get x
100/0.84905660377358=x
117.77777777778=x
x=117.77777777778

now we have:
58.3 is 117.77777777778% of 49.5