63.09 is what percent of 185.55 - 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 185.55 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 185.55, so we can write it down as 100%=185.55.
4. We know, that x% equals 63.09 of the output value, so we can write it down as x%=63.09.
5. Now we have two simple equations:
1) 100%=185.55
2) x%=63.09
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%=185.55/63.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.09 is what percent of 185.55

100%/x%=185.55/63.09
(100/x)*x=(185.55/63.09)*x       - we multiply both sides of the equation by x
100=2.94103661436*x       - we divide both sides of the equation by (2.94103661436) to get x
100/2.94103661436=x
34.0016168149=x
x=34.0016168149

now we have:
63.09 is 34.0016168149% of 185.55