186.82 is what percent of 3069.12 - 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 3069.12 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 3069.12, so we can write it down as 100%=3069.12.
4. We know, that x% equals 186.82 of the output value, so we can write it down as x%=186.82.
5. Now we have two simple equations:
1) 100%=3069.12
2) x%=186.82
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%=3069.12/186.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 186.82 is what percent of 3069.12

100%/x%=3069.12/186.82
(100/x)*x=(3069.12/186.82)*x       - we multiply both sides of the equation by x
100=16.428219676694*x       - we divide both sides of the equation by (16.428219676694) to get x
100/16.428219676694=x
6.0870868522573=x
x=6.0870868522573

now we have:
186.82 is 6.0870868522573% of 3069.12