6666.6 is what percent of 20000 - 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 20000 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 20000, so we can write it down as 100%=20000.
4. We know, that x% equals 6666.6 of the output value, so we can write it down as x%=6666.6.
5. Now we have two simple equations:
1) 100%=20000
2) x%=6666.6
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%=20000/6666.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6666.6 is what percent of 20000

100%/x%=20000/6666.6
(100/x)*x=(20000/6666.6)*x       - we multiply both sides of the equation by x
100=3.0000300003*x       - we divide both sides of the equation by (3.0000300003) to get x
100/3.0000300003=x
33.333=x
x=33.333

now we have:
6666.6 is 33.333% of 20000