36.5 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 36.5 of the output value, so we can write it down as x%=36.5.
5. Now we have two simple equations:
1) 100%=560
2) x%=36.5
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%=560/36.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.5 is what percent of 560

100%/x%=560/36.5
(100/x)*x=(560/36.5)*x       - we multiply both sides of the equation by x
100=15.342465753425*x       - we divide both sides of the equation by (15.342465753425) to get x
100/15.342465753425=x
6.5178571428571=x
x=6.5178571428571

now we have:
36.5 is 6.5178571428571% of 560