What is 2666.6666666667 percent of 10000 - 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 10000 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 10000 is 100%, so we can write it down as 10000=100%.
4. We know, that x is 2666.6666666667% of the output value, so we can write it down as x=2666.6666666667%.
5. Now we have two simple equations:
1) 10000=100%
2) x=2666.6666666667%
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:
10000/x=100%/2666.6666666667%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2666.6666666667% of 10000

10000/x=100/2666.6666666667
(10000/x)*x=(100/2666.6666666667)*x       - we multiply both sides of the equation by x
10000=0.0375*x       - we divide both sides of the equation by (0.0375) to get x
10000/0.0375=x
266666.66666667=x
x=266666.66666667

now we have:
2666.6666666667% of 10000=266666.66666667