166.69 is what percent of 209 - 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 209 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 209, so we can write it down as 100%=209.
4. We know, that x% equals 166.69 of the output value, so we can write it down as x%=166.69.
5. Now we have two simple equations:
1) 100%=209
2) x%=166.69
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%=209/166.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.69 is what percent of 209

100%/x%=209/166.69
(100/x)*x=(209/166.69)*x       - we multiply both sides of the equation by x
100=1.253824464575*x       - we divide both sides of the equation by (1.253824464575) to get x
100/1.253824464575=x
79.755980861244=x
x=79.755980861244

now we have:
166.69 is 79.755980861244% of 209