138.6 is what percent of 205.5 - 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 205.5 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 205.5, so we can write it down as 100%=205.5.
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%=205.5
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%=205.5/138.6
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 205.5

100%/x%=205.5/138.6
(100/x)*x=(205.5/138.6)*x       - we multiply both sides of the equation by x
100=1.482683982684*x       - we divide both sides of the equation by (1.482683982684) to get x
100/1.482683982684=x
67.445255474453=x
x=67.445255474453

now we have:
138.6 is 67.445255474453% of 205.5