138.6 is what percent of 359 - 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 359 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 359, so we can write it down as 100%=359.
4. We know, that x% equals 138.6 of the output value, so we can write it down as x%=138.6.
5. Now we have two simple equations:
1) 100%=359
2) x%=138.6
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%=359/138.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.6 is what percent of 359

100%/x%=359/138.6
(100/x)*x=(359/138.6)*x       - we multiply both sides of the equation by x
100=2.5901875901876*x       - we divide both sides of the equation by (2.5901875901876) to get x
100/2.5901875901876=x
38.607242339833=x
x=38.607242339833

now we have:
138.6 is 38.607242339833% of 359