What is 66.6666666667 percent of 1600 - 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 1600 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 1600 is 100%, so we can write it down as 1600=100%.
4. We know, that x is 66.6666666667% of the output value, so we can write it down as x=66.6666666667%.
5. Now we have two simple equations:
1) 1600=100%
2) x=66.6666666667%
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:
1600/x=100%/66.6666666667%
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 66.6666666667% of 1600

1600/x=100/66.6666666667
(1600/x)*x=(100/66.6666666667)*x       - we multiply both sides of the equation by x
1600=1.4999999999993*x       - we divide both sides of the equation by (1.4999999999993) to get x
1600/1.4999999999993=x
1066.6666666672=x
x=1066.6666666672

now we have:
66.6666666667% of 1600=1066.6666666672