140.2 is what percent of 255.8 - 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 255.8 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 255.8, so we can write it down as 100%=255.8.
4. We know, that x% equals 140.2 of the output value, so we can write it down as x%=140.2.
5. Now we have two simple equations:
1) 100%=255.8
2) x%=140.2
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%=255.8/140.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.2 is what percent of 255.8

100%/x%=255.8/140.2
(100/x)*x=(255.8/140.2)*x       - we multiply both sides of the equation by x
100=1.8245363766049*x       - we divide both sides of the equation by (1.8245363766049) to get x
100/1.8245363766049=x
54.808444096951=x
x=54.808444096951

now we have:
140.2 is 54.808444096951% of 255.8