39.1 is what percent of 166 - 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 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, so we can write it down as 100%=166.
4. We know, that x% equals 39.1 of the output value, so we can write it down as x%=39.1.
5. Now we have two simple equations:
1) 100%=166
2) x%=39.1
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%=166/39.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.1 is what percent of 166

100%/x%=166/39.1
(100/x)*x=(166/39.1)*x       - we multiply both sides of the equation by x
100=4.2455242966752*x       - we divide both sides of the equation by (4.2455242966752) to get x
100/4.2455242966752=x
23.55421686747=x
x=23.55421686747

now we have:
39.1 is 23.55421686747% of 166