422.46 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 422.46 of the output value, so we can write it down as x%=422.46.
5. Now we have two simple equations:
1) 100%=560
2) x%=422.46
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%=560/422.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 422.46 is what percent of 560

100%/x%=560/422.46
(100/x)*x=(560/422.46)*x       - we multiply both sides of the equation by x
100=1.325569284666*x       - we divide both sides of the equation by (1.325569284666) to get x
100/1.325569284666=x
75.439285714286=x
x=75.439285714286

now we have:
422.46 is 75.439285714286% of 560