55.38 is what percent of 1020.113 - 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 1020.113 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 1020.113, so we can write it down as 100%=1020.113.
4. We know, that x% equals 55.38 of the output value, so we can write it down as x%=55.38.
5. Now we have two simple equations:
1) 100%=1020.113
2) x%=55.38
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%=1020.113/55.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.38 is what percent of 1020.113

100%/x%=1020.113/55.38
(100/x)*x=(1020.113/55.38)*x       - we multiply both sides of the equation by x
100=18.420241964608*x       - we divide both sides of the equation by (18.420241964608) to get x
100/18.420241964608=x
5.4288103376783=x
x=5.4288103376783

now we have:
55.38 is 5.4288103376783% of 1020.113