42.96 is what 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 100% equals 560, so we can write it down as 100%=560.
4. We know, that x% equals 42.96 of the output value, so we can write it down as x%=42.96.
5. Now we have two simple equations:
1) 100%=560
2) x%=42.96
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:
100%/x%=560/42.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.96 is what percent of 560

100%/x%=560/42.96
(100/x)*x=(560/42.96)*x       - we multiply both sides of the equation by x
100=13.035381750466*x       - we divide both sides of the equation by (13.035381750466) to get x
100/13.035381750466=x
7.6714285714286=x
x=7.6714285714286

now we have:
42.96 is 7.6714285714286% of 560