55.16 is what percent of 166.43 - 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 166.43 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 166.43, so we can write it down as 100%=166.43.
4. We know, that x% equals 55.16 of the output value, so we can write it down as x%=55.16.
5. Now we have two simple equations:
1) 100%=166.43
2) x%=55.16
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%=166.43/55.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.16 is what percent of 166.43

100%/x%=166.43/55.16
(100/x)*x=(166.43/55.16)*x       - we multiply both sides of the equation by x
100=3.0172226250906*x       - we divide both sides of the equation by (3.0172226250906) to get x
100/3.0172226250906=x
33.143063149673=x
x=33.143063149673

now we have:
55.16 is 33.143063149673% of 166.43