64.47 is what percent of 166.67 - 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 166.67 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 166.67, so we can write it down as 100%=166.67.
4. We know, that x% equals 64.47 of the output value, so we can write it down as x%=64.47.
5. Now we have two simple equations:
1) 100%=166.67
2) x%=64.47
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%=166.67/64.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.47 is what percent of 166.67

100%/x%=166.67/64.47
(100/x)*x=(166.67/64.47)*x       - we multiply both sides of the equation by x
100=2.585233441911*x       - we divide both sides of the equation by (2.585233441911) to get x
100/2.585233441911=x
38.681226375472=x
x=38.681226375472

now we have:
64.47 is 38.681226375472% of 166.67