39.9 is what percent of 125.6 - 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 125.6 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 125.6, so we can write it down as 100%=125.6.
4. We know, that x% equals 39.9 of the output value, so we can write it down as x%=39.9.
5. Now we have two simple equations:
1) 100%=125.6
2) x%=39.9
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%=125.6/39.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.9 is what percent of 125.6

100%/x%=125.6/39.9
(100/x)*x=(125.6/39.9)*x       - we multiply both sides of the equation by x
100=3.1478696741855*x       - we divide both sides of the equation by (3.1478696741855) to get x
100/3.1478696741855=x
31.767515923567=x
x=31.767515923567

now we have:
39.9 is 31.767515923567% of 125.6