728.97 is what percent of 930 - 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 930 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 930, so we can write it down as 100%=930.
4. We know, that x% equals 728.97 of the output value, so we can write it down as x%=728.97.
5. Now we have two simple equations:
1) 100%=930
2) x%=728.97
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%=930/728.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 728.97 is what percent of 930

100%/x%=930/728.97
(100/x)*x=(930/728.97)*x       - we multiply both sides of the equation by x
100=1.2757726655418*x       - we divide both sides of the equation by (1.2757726655418) to get x
100/1.2757726655418=x
78.383870967742=x
x=78.383870967742

now we have:
728.97 is 78.383870967742% of 930