39 is what percent of 2166 - 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 2166 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 2166, so we can write it down as 100%=2166.
4. We know, that x% equals 39 of the output value, so we can write it down as x%=39.
5. Now we have two simple equations:
1) 100%=2166
2) x%=39
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%=2166/39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39 is what percent of 2166

100%/x%=2166/39
(100/x)*x=(2166/39)*x       - we multiply both sides of the equation by x
100=55.538461538462*x       - we divide both sides of the equation by (55.538461538462) to get x
100/55.538461538462=x
1.8005540166205=x
x=1.8005540166205

now we have:
39 is 1.8005540166205% of 2166