What is 42.6666666667 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 42.6666666667% of the output value, so we can write it down as x=42.6666666667%.
5. Now we have two simple equations:
1) 560=100%
2) x=42.6666666667%
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:
560/x=100%/42.6666666667%
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 42.6666666667% of 560

560/x=100/42.6666666667
(560/x)*x=(100/42.6666666667)*x       - we multiply both sides of the equation by x
560=2.3437499999982*x       - we divide both sides of the equation by (2.3437499999982) to get x
560/2.3437499999982=x
238.93333333352=x
x=238.93333333352

now we have:
42.6666666667% of 560=238.93333333352