55.74 is what percent of 4136.77 - 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 4136.77 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 4136.77, so we can write it down as 100%=4136.77.
4. We know, that x% equals 55.74 of the output value, so we can write it down as x%=55.74.
5. Now we have two simple equations:
1) 100%=4136.77
2) x%=55.74
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%=4136.77/55.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.74 is what percent of 4136.77

100%/x%=4136.77/55.74
(100/x)*x=(4136.77/55.74)*x       - we multiply both sides of the equation by x
100=74.215464657338*x       - we divide both sides of the equation by (74.215464657338) to get x
100/74.215464657338=x
1.3474280658581=x
x=1.3474280658581

now we have:
55.74 is 1.3474280658581% of 4136.77