166.6 is what percent of 200 - 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 200 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 200, so we can write it down as 100%=200.
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%=200
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%=200/166.6
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 200

100%/x%=200/166.6
(100/x)*x=(200/166.6)*x       - we multiply both sides of the equation by x
100=1.2004801920768*x       - we divide both sides of the equation by (1.2004801920768) to get x
100/1.2004801920768=x
83.3=x
x=83.3

now we have:
166.6 is 83.3% of 200