92.08 is what percent of 796.32 - 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 796.32 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 796.32, so we can write it down as 100%=796.32.
4. We know, that x% equals 92.08 of the output value, so we can write it down as x%=92.08.
5. Now we have two simple equations:
1) 100%=796.32
2) x%=92.08
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%=796.32/92.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.08 is what percent of 796.32

100%/x%=796.32/92.08
(100/x)*x=(796.32/92.08)*x       - we multiply both sides of the equation by x
100=8.6481320590791*x       - we divide both sides of the equation by (8.6481320590791) to get x
100/8.6481320590791=x
11.563190677115=x
x=11.563190677115

now we have:
92.08 is 11.563190677115% of 796.32