725.68 is what percent of 1838.52 - 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 1838.52 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 1838.52, so we can write it down as 100%=1838.52.
4. We know, that x% equals 725.68 of the output value, so we can write it down as x%=725.68.
5. Now we have two simple equations:
1) 100%=1838.52
2) x%=725.68
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%=1838.52/725.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 725.68 is what percent of 1838.52

100%/x%=1838.52/725.68
(100/x)*x=(1838.52/725.68)*x       - we multiply both sides of the equation by x
100=2.5335133943336*x       - we divide both sides of the equation by (2.5335133943336) to get x
100/2.5335133943336=x
39.470878750299=x
x=39.470878750299

now we have:
725.68 is 39.470878750299% of 1838.52