63.45 is what percent of 165.18 - 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 165.18 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 165.18, so we can write it down as 100%=165.18.
4. We know, that x% equals 63.45 of the output value, so we can write it down as x%=63.45.
5. Now we have two simple equations:
1) 100%=165.18
2) x%=63.45
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%=165.18/63.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.45 is what percent of 165.18

100%/x%=165.18/63.45
(100/x)*x=(165.18/63.45)*x       - we multiply both sides of the equation by x
100=2.6033096926714*x       - we divide both sides of the equation by (2.6033096926714) to get x
100/2.6033096926714=x
38.412640755539=x
x=38.412640755539

now we have:
63.45 is 38.412640755539% of 165.18