72836.34 is what percent of 140504.23 - 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 140504.23 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 140504.23, so we can write it down as 100%=140504.23.
4. We know, that x% equals 72836.34 of the output value, so we can write it down as x%=72836.34.
5. Now we have two simple equations:
1) 100%=140504.23
2) x%=72836.34
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%=140504.23/72836.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72836.34 is what percent of 140504.23

100%/x%=140504.23/72836.34
(100/x)*x=(140504.23/72836.34)*x       - we multiply both sides of the equation by x
100=1.9290402290944*x       - we divide both sides of the equation by (1.9290402290944) to get x
100/1.9290402290944=x
51.83925067594=x
x=51.83925067594

now we have:
72836.34 is 51.83925067594% of 140504.23