108.35 is what percent of 2166.96 - 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 2166.96 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 2166.96, so we can write it down as 100%=2166.96.
4. We know, that x% equals 108.35 of the output value, so we can write it down as x%=108.35.
5. Now we have two simple equations:
1) 100%=2166.96
2) x%=108.35
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%=2166.96/108.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.35 is what percent of 2166.96

100%/x%=2166.96/108.35
(100/x)*x=(2166.96/108.35)*x       - we multiply both sides of the equation by x
100=19.999630826027*x       - we divide both sides of the equation by (19.999630826027) to get x
100/19.999630826027=x
5.000092295197=x
x=5.000092295197

now we have:
108.35 is 5.000092295197% of 2166.96