64.95 is what percent of 166.32 - 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 166.32 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 166.32, so we can write it down as 100%=166.32.
4. We know, that x% equals 64.95 of the output value, so we can write it down as x%=64.95.
5. Now we have two simple equations:
1) 100%=166.32
2) x%=64.95
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%=166.32/64.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.95 is what percent of 166.32

100%/x%=166.32/64.95
(100/x)*x=(166.32/64.95)*x       - we multiply both sides of the equation by x
100=2.5607390300231*x       - we divide both sides of the equation by (2.5607390300231) to get x
100/2.5607390300231=x
39.051226551227=x
x=39.051226551227

now we have:
64.95 is 39.051226551227% of 166.32