204.08 is what percent of 1538.46 - 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 1538.46 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 1538.46, so we can write it down as 100%=1538.46.
4. We know, that x% equals 204.08 of the output value, so we can write it down as x%=204.08.
5. Now we have two simple equations:
1) 100%=1538.46
2) x%=204.08
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%=1538.46/204.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.08 is what percent of 1538.46

100%/x%=1538.46/204.08
(100/x)*x=(1538.46/204.08)*x       - we multiply both sides of the equation by x
100=7.5385143081145*x       - we divide both sides of the equation by (7.5385143081145) to get x
100/7.5385143081145=x
13.265213265213=x
x=13.265213265213

now we have:
204.08 is 13.265213265213% of 1538.46