726.42 is what percent of 1791.42 - 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 1791.42 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 1791.42, so we can write it down as 100%=1791.42.
4. We know, that x% equals 726.42 of the output value, so we can write it down as x%=726.42.
5. Now we have two simple equations:
1) 100%=1791.42
2) x%=726.42
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%=1791.42/726.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 726.42 is what percent of 1791.42

100%/x%=1791.42/726.42
(100/x)*x=(1791.42/726.42)*x       - we multiply both sides of the equation by x
100=2.4660939952094*x       - we divide both sides of the equation by (2.4660939952094) to get x
100/2.4660939952094=x
40.549954784473=x
x=40.549954784473

now we have:
726.42 is 40.549954784473% of 1791.42