18.05 is what percent of 199.8 - 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 199.8 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 199.8, so we can write it down as 100%=199.8.
4. We know, that x% equals 18.05 of the output value, so we can write it down as x%=18.05.
5. Now we have two simple equations:
1) 100%=199.8
2) x%=18.05
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%=199.8/18.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.05 is what percent of 199.8

100%/x%=199.8/18.05
(100/x)*x=(199.8/18.05)*x       - we multiply both sides of the equation by x
100=11.069252077562*x       - we divide both sides of the equation by (11.069252077562) to get x
100/11.069252077562=x
9.034034034034=x
x=9.034034034034

now we have:
18.05 is 9.034034034034% of 199.8