3739.2 is what percent of 8239.2 - 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 8239.2 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 8239.2, so we can write it down as 100%=8239.2.
4. We know, that x% equals 3739.2 of the output value, so we can write it down as x%=3739.2.
5. Now we have two simple equations:
1) 100%=8239.2
2) x%=3739.2
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%=8239.2/3739.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3739.2 is what percent of 8239.2

100%/x%=8239.2/3739.2
(100/x)*x=(8239.2/3739.2)*x       - we multiply both sides of the equation by x
100=2.2034659820282*x       - we divide both sides of the equation by (2.2034659820282) to get x
100/2.2034659820282=x
45.383046897757=x
x=45.383046897757

now we have:
3739.2 is 45.383046897757% of 8239.2