What is 42.857142857 percent of 567 - 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 567 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 567 is 100%, so we can write it down as 567=100%.
4. We know, that x is 42.857142857% of the output value, so we can write it down as x=42.857142857%.
5. Now we have two simple equations:
1) 567=100%
2) x=42.857142857%
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:
567/x=100%/42.857142857%
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 42.857142857% of 567

567/x=100/42.857142857
(567/x)*x=(100/42.857142857)*x       - we multiply both sides of the equation by x
567=2.3333333333411*x       - we divide both sides of the equation by (2.3333333333411) to get x
567/2.3333333333411=x
242.99999999919=x
x=242.99999999919

now we have:
42.857142857% of 567=242.99999999919