542.2 is what percent of 10.555 - 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 10.555 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 10.555, so we can write it down as 100%=10.555.
4. We know, that x% equals 542.2 of the output value, so we can write it down as x%=542.2.
5. Now we have two simple equations:
1) 100%=10.555
2) x%=542.2
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%=10.555/542.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 542.2 is what percent of 10.555

100%/x%=10.555/542.2
(100/x)*x=(10.555/542.2)*x       - we multiply both sides of the equation by x
100=0.0194669863519*x       - we divide both sides of the equation by (0.0194669863519) to get x
100/0.0194669863519=x
5136.9019422075=x
x=5136.9019422075

now we have:
542.2 is 5136.9019422075% of 10.555