726.88 is what percent of 1250 - 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 1250 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 1250, so we can write it down as 100%=1250.
4. We know, that x% equals 726.88 of the output value, so we can write it down as x%=726.88.
5. Now we have two simple equations:
1) 100%=1250
2) x%=726.88
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%=1250/726.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 726.88 is what percent of 1250

100%/x%=1250/726.88
(100/x)*x=(1250/726.88)*x       - we multiply both sides of the equation by x
100=1.7196786264583*x       - we divide both sides of the equation by (1.7196786264583) to get x
100/1.7196786264583=x
58.1504=x
x=58.1504

now we have:
726.88 is 58.1504% of 1250