92.85 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 92.85 of the output value, so we can write it down as x%=92.85.
5. Now we have two simple equations:
1) 100%=720
2) x%=92.85
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%=720/92.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.85 is what percent of 720

100%/x%=720/92.85
(100/x)*x=(720/92.85)*x       - we multiply both sides of the equation by x
100=7.7544426494346*x       - we divide both sides of the equation by (7.7544426494346) to get x
100/7.7544426494346=x
12.895833333333=x
x=12.895833333333

now we have:
92.85 is 12.895833333333% of 720