18.5 is what percent of 186.5 - 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 186.5 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 186.5, so we can write it down as 100%=186.5.
4. We know, that x% equals 18.5 of the output value, so we can write it down as x%=18.5.
5. Now we have two simple equations:
1) 100%=186.5
2) x%=18.5
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%=186.5/18.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.5 is what percent of 186.5

100%/x%=186.5/18.5
(100/x)*x=(186.5/18.5)*x       - we multiply both sides of the equation by x
100=10.081081081081*x       - we divide both sides of the equation by (10.081081081081) to get x
100/10.081081081081=x
9.9195710455764=x
x=9.9195710455764

now we have:
18.5 is 9.9195710455764% of 186.5