92 is what percent of 596.85 - 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 596.85 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 596.85, so we can write it down as 100%=596.85.
4. We know, that x% equals 92 of the output value, so we can write it down as x%=92.
5. Now we have two simple equations:
1) 100%=596.85
2) x%=92
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%=596.85/92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92 is what percent of 596.85

100%/x%=596.85/92
(100/x)*x=(596.85/92)*x       - we multiply both sides of the equation by x
100=6.4875*x       - we divide both sides of the equation by (6.4875) to get x
100/6.4875=x
15.414258188825=x
x=15.414258188825

now we have:
92 is 15.414258188825% of 596.85