138.04 is what percent of 255.86 - 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 255.86 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 255.86, so we can write it down as 100%=255.86.
4. We know, that x% equals 138.04 of the output value, so we can write it down as x%=138.04.
5. Now we have two simple equations:
1) 100%=255.86
2) x%=138.04
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%=255.86/138.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.04 is what percent of 255.86

100%/x%=255.86/138.04
(100/x)*x=(255.86/138.04)*x       - we multiply both sides of the equation by x
100=1.8535207186323*x       - we divide both sides of the equation by (1.8535207186323) to get x
100/1.8535207186323=x
53.951379660752=x
x=53.951379660752

now we have:
138.04 is 53.951379660752% of 255.86