495.7 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 495.7 of the output value, so we can write it down as x%=495.7.
5. Now we have two simple equations:
1) 100%=560
2) x%=495.7
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%=560/495.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.7 is what percent of 560

100%/x%=560/495.7
(100/x)*x=(560/495.7)*x       - we multiply both sides of the equation by x
100=1.1297155537624*x       - we divide both sides of the equation by (1.1297155537624) to get x
100/1.1297155537624=x
88.517857142857=x
x=88.517857142857

now we have:
495.7 is 88.517857142857% of 560