166.6 is what percent of 180 - 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 180 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 180, so we can write it down as 100%=180.
4. We know, that x% equals 166.6 of the output value, so we can write it down as x%=166.6.
5. Now we have two simple equations:
1) 100%=180
2) x%=166.6
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%=180/166.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.6 is what percent of 180

100%/x%=180/166.6
(100/x)*x=(180/166.6)*x       - we multiply both sides of the equation by x
100=1.0804321728691*x       - we divide both sides of the equation by (1.0804321728691) to get x
100/1.0804321728691=x
92.555555555556=x
x=92.555555555556

now we have:
166.6 is 92.555555555556% of 180