16.45 is what percent of 186.78 - 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 186.78 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 186.78, so we can write it down as 100%=186.78.
4. We know, that x% equals 16.45 of the output value, so we can write it down as x%=16.45.
5. Now we have two simple equations:
1) 100%=186.78
2) x%=16.45
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%=186.78/16.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.45 is what percent of 186.78

100%/x%=186.78/16.45
(100/x)*x=(186.78/16.45)*x       - we multiply both sides of the equation by x
100=11.354407294833*x       - we divide both sides of the equation by (11.354407294833) to get x
100/11.354407294833=x
8.8071528000857=x
x=8.8071528000857

now we have:
16.45 is 8.8071528000857% of 186.78