9.97 is what percent of 166.16 - 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 166.16 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 166.16, so we can write it down as 100%=166.16.
4. We know, that x% equals 9.97 of the output value, so we can write it down as x%=9.97.
5. Now we have two simple equations:
1) 100%=166.16
2) x%=9.97
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%=166.16/9.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.97 is what percent of 166.16

100%/x%=166.16/9.97
(100/x)*x=(166.16/9.97)*x       - we multiply both sides of the equation by x
100=16.665997993982*x       - we divide both sides of the equation by (16.665997993982) to get x
100/16.665997993982=x
6.0002407318247=x
x=6.0002407318247

now we have:
9.97 is 6.0002407318247% of 166.16