137.75 is what percent of 256 - 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 256 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 256, so we can write it down as 100%=256.
4. We know, that x% equals 137.75 of the output value, so we can write it down as x%=137.75.
5. Now we have two simple equations:
1) 100%=256
2) x%=137.75
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%=256/137.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.75 is what percent of 256

100%/x%=256/137.75
(100/x)*x=(256/137.75)*x       - we multiply both sides of the equation by x
100=1.8584392014519*x       - we divide both sides of the equation by (1.8584392014519) to get x
100/1.8584392014519=x
53.80859375=x
x=53.80859375

now we have:
137.75 is 53.80859375% of 256