What is 12.6666666667 percent of 450 - 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 450 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 450 is 100%, so we can write it down as 450=100%.
4. We know, that x is 12.6666666667% of the output value, so we can write it down as x=12.6666666667%.
5. Now we have two simple equations:
1) 450=100%
2) x=12.6666666667%
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:
450/x=100%/12.6666666667%
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 12.6666666667% of 450

450/x=100/12.6666666667
(450/x)*x=(100/12.6666666667)*x       - we multiply both sides of the equation by x
450=7.8947368420845*x       - we divide both sides of the equation by (7.8947368420845) to get x
450/7.8947368420845=x
57.00000000015=x
x=57.00000000015

now we have:
12.6666666667% of 450=57.00000000015