505.25 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 505.25 of the output value, so we can write it down as x%=505.25.
5. Now we have two simple equations:
1) 100%=560
2) x%=505.25
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%=560/505.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 505.25 is what percent of 560

100%/x%=560/505.25
(100/x)*x=(560/505.25)*x       - we multiply both sides of the equation by x
100=1.1083621969322*x       - we divide both sides of the equation by (1.1083621969322) to get x
100/1.1083621969322=x
90.223214285714=x
x=90.223214285714

now we have:
505.25 is 90.223214285714% of 560