124.86 is what percent of 238.52 - 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 238.52 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 238.52, so we can write it down as 100%=238.52.
4. We know, that x% equals 124.86 of the output value, so we can write it down as x%=124.86.
5. Now we have two simple equations:
1) 100%=238.52
2) x%=124.86
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%=238.52/124.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 124.86 is what percent of 238.52

100%/x%=238.52/124.86
(100/x)*x=(238.52/124.86)*x       - we multiply both sides of the equation by x
100=1.9102995354797*x       - we divide both sides of the equation by (1.9102995354797) to get x
100/1.9102995354797=x
52.347811504276=x
x=52.347811504276

now we have:
124.86 is 52.347811504276% of 238.52