188.66 is what percent of 7711.16 - 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 7711.16 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 7711.16, so we can write it down as 100%=7711.16.
4. We know, that x% equals 188.66 of the output value, so we can write it down as x%=188.66.
5. Now we have two simple equations:
1) 100%=7711.16
2) x%=188.66
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%=7711.16/188.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.66 is what percent of 7711.16

100%/x%=7711.16/188.66
(100/x)*x=(7711.16/188.66)*x       - we multiply both sides of the equation by x
100=40.873317078342*x       - we divide both sides of the equation by (40.873317078342) to get x
100/40.873317078342=x
2.4465839121481=x
x=2.4465839121481

now we have:
188.66 is 2.4465839121481% of 7711.16