13.85 is what percent of 166.11 - 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 166.11 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 166.11, so we can write it down as 100%=166.11.
4. We know, that x% equals 13.85 of the output value, so we can write it down as x%=13.85.
5. Now we have two simple equations:
1) 100%=166.11
2) x%=13.85
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%=166.11/13.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.85 is what percent of 166.11

100%/x%=166.11/13.85
(100/x)*x=(166.11/13.85)*x       - we multiply both sides of the equation by x
100=11.993501805054*x       - we divide both sides of the equation by (11.993501805054) to get x
100/11.993501805054=x
8.3378484137018=x
x=8.3378484137018

now we have:
13.85 is 8.3378484137018% of 166.11