16.66 is what percent of 1995.2 - 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 1995.2 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 1995.2, so we can write it down as 100%=1995.2.
4. We know, that x% equals 16.66 of the output value, so we can write it down as x%=16.66.
5. Now we have two simple equations:
1) 100%=1995.2
2) x%=16.66
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%=1995.2/16.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.66 is what percent of 1995.2

100%/x%=1995.2/16.66
(100/x)*x=(1995.2/16.66)*x       - we multiply both sides of the equation by x
100=119.75990396158*x       - we divide both sides of the equation by (119.75990396158) to get x
100/119.75990396158=x
0.8350040096231=x
x=0.8350040096231

now we have:
16.66 is 0.8350040096231% of 1995.2