55 is what percent of 137.8 - 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 137.8 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 137.8, so we can write it down as 100%=137.8.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=137.8
2) x%=55
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%=137.8/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 137.8

100%/x%=137.8/55
(100/x)*x=(137.8/55)*x       - we multiply both sides of the equation by x
100=2.5054545454545*x       - we divide both sides of the equation by (2.5054545454545) to get x
100/2.5054545454545=x
39.912917271408=x
x=39.912917271408

now we have:
55 is 39.912917271408% of 137.8