166666.66 is what percent of 200000 - 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 200000 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 200000, so we can write it down as 100%=200000.
4. We know, that x% equals 166666.66 of the output value, so we can write it down as x%=166666.66.
5. Now we have two simple equations:
1) 100%=200000
2) x%=166666.66
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%=200000/166666.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166666.66 is what percent of 200000

100%/x%=200000/166666.66
(100/x)*x=(200000/166666.66)*x       - we multiply both sides of the equation by x
100=1.200000048*x       - we divide both sides of the equation by (1.200000048) to get x
100/1.200000048=x
83.33333=x
x=83.33333

now we have:
166666.66 is 83.33333% of 200000