16.61 is what percent of 199.14 - 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 199.14 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 199.14, so we can write it down as 100%=199.14.
4. We know, that x% equals 16.61 of the output value, so we can write it down as x%=16.61.
5. Now we have two simple equations:
1) 100%=199.14
2) x%=16.61
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%=199.14/16.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.61 is what percent of 199.14

100%/x%=199.14/16.61
(100/x)*x=(199.14/16.61)*x       - we multiply both sides of the equation by x
100=11.989163154726*x       - we divide both sides of the equation by (11.989163154726) to get x
100/11.989163154726=x
8.3408657226072=x
x=8.3408657226072

now we have:
16.61 is 8.3408657226072% of 199.14