39.16 is what percent of 1502.2 - 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 1502.2 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 1502.2, so we can write it down as 100%=1502.2.
4. We know, that x% equals 39.16 of the output value, so we can write it down as x%=39.16.
5. Now we have two simple equations:
1) 100%=1502.2
2) x%=39.16
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%=1502.2/39.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.16 is what percent of 1502.2

100%/x%=1502.2/39.16
(100/x)*x=(1502.2/39.16)*x       - we multiply both sides of the equation by x
100=38.360572012257*x       - we divide both sides of the equation by (38.360572012257) to get x
100/38.360572012257=x
2.6068432964985=x
x=2.6068432964985

now we have:
39.16 is 2.6068432964985% of 1502.2