92.84 is what percent of 115.84 - 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 115.84 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 115.84, so we can write it down as 100%=115.84.
4. We know, that x% equals 92.84 of the output value, so we can write it down as x%=92.84.
5. Now we have two simple equations:
1) 100%=115.84
2) x%=92.84
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%=115.84/92.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.84 is what percent of 115.84

100%/x%=115.84/92.84
(100/x)*x=(115.84/92.84)*x       - we multiply both sides of the equation by x
100=1.2477380439466*x       - we divide both sides of the equation by (1.2477380439466) to get x
100/1.2477380439466=x
80.145027624309=x
x=80.145027624309

now we have:
92.84 is 80.145027624309% of 115.84