137.42 is what percent of 250 - 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 250 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 250, so we can write it down as 100%=250.
4. We know, that x% equals 137.42 of the output value, so we can write it down as x%=137.42.
5. Now we have two simple equations:
1) 100%=250
2) x%=137.42
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%=250/137.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.42 is what percent of 250

100%/x%=250/137.42
(100/x)*x=(250/137.42)*x       - we multiply both sides of the equation by x
100=1.8192402852569*x       - we divide both sides of the equation by (1.8192402852569) to get x
100/1.8192402852569=x
54.968=x
x=54.968

now we have:
137.42 is 54.968% of 250