What is 6.666 percent of 560 - 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 560 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 560 is 100%, so we can write it down as 560=100%.
4. We know, that x is 6.666% of the output value, so we can write it down as x=6.666%.
5. Now we have two simple equations:
1) 560=100%
2) x=6.666%
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:
560/x=100%/6.666%
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 6.666% of 560

560/x=100/6.666
(560/x)*x=(100/6.666)*x       - we multiply both sides of the equation by x
560=15.001500150015*x       - we divide both sides of the equation by (15.001500150015) to get x
560/15.001500150015=x
37.3296=x
x=37.3296

now we have:
6.666% of 560=37.3296