48.39 is what percent of 122.93 - 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 122.93 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 122.93, so we can write it down as 100%=122.93.
4. We know, that x% equals 48.39 of the output value, so we can write it down as x%=48.39.
5. Now we have two simple equations:
1) 100%=122.93
2) x%=48.39
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%=122.93/48.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.39 is what percent of 122.93

100%/x%=122.93/48.39
(100/x)*x=(122.93/48.39)*x       - we multiply both sides of the equation by x
100=2.5404009092788*x       - we divide both sides of the equation by (2.5404009092788) to get x
100/2.5404009092788=x
39.363865614577=x
x=39.363865614577

now we have:
48.39 is 39.363865614577% of 122.93