What is 66.666666666667 percent of 400 - 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 400 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 400 is 100%, so we can write it down as 400=100%.
4. We know, that x is 66.666666666667% of the output value, so we can write it down as x=66.666666666667%.
5. Now we have two simple equations:
1) 400=100%
2) x=66.666666666667%
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:
400/x=100%/66.666666666667%
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 66.666666666667% of 400

400/x=100/66.666666666667
(400/x)*x=(100/66.666666666667)*x       - we multiply both sides of the equation by x
400=1.5*x       - we divide both sides of the equation by (1.5) to get x
400/1.5=x
266.66666666667=x
x=266.66666666667

now we have:
66.666666666667% of 400=266.66666666667