102.2 is what percent of 166.5 - 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 166.5 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 166.5, so we can write it down as 100%=166.5.
4. We know, that x% equals 102.2 of the output value, so we can write it down as x%=102.2.
5. Now we have two simple equations:
1) 100%=166.5
2) x%=102.2
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%=166.5/102.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.2 is what percent of 166.5

100%/x%=166.5/102.2
(100/x)*x=(166.5/102.2)*x       - we multiply both sides of the equation by x
100=1.6291585127202*x       - we divide both sides of the equation by (1.6291585127202) to get x
100/1.6291585127202=x
61.381381381381=x
x=61.381381381381

now we have:
102.2 is 61.381381381381% of 166.5