138.81 is what percent of 442.708 - 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 442.708 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 442.708, so we can write it down as 100%=442.708.
4. We know, that x% equals 138.81 of the output value, so we can write it down as x%=138.81.
5. Now we have two simple equations:
1) 100%=442.708
2) x%=138.81
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%=442.708/138.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.81 is what percent of 442.708

100%/x%=442.708/138.81
(100/x)*x=(442.708/138.81)*x       - we multiply both sides of the equation by x
100=3.1893091275845*x       - we divide both sides of the equation by (3.1893091275845) to get x
100/3.1893091275845=x
31.354753020049=x
x=31.354753020049

now we have:
138.81 is 31.354753020049% of 442.708