132.85 is what percent of 3900 - 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 3900 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 3900, so we can write it down as 100%=3900.
4. We know, that x% equals 132.85 of the output value, so we can write it down as x%=132.85.
5. Now we have two simple equations:
1) 100%=3900
2) x%=132.85
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%=3900/132.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 132.85 is what percent of 3900

100%/x%=3900/132.85
(100/x)*x=(3900/132.85)*x       - we multiply both sides of the equation by x
100=29.356417011667*x       - we divide both sides of the equation by (29.356417011667) to get x
100/29.356417011667=x
3.4064102564103=x
x=3.4064102564103

now we have:
132.85 is 3.4064102564103% of 3900