77.9 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 77.9 of the output value, so we can write it down as x%=77.9.
5. Now we have two simple equations:
1) 100%=560
2) x%=77.9
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%=560/77.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.9 is what percent of 560

100%/x%=560/77.9
(100/x)*x=(560/77.9)*x       - we multiply both sides of the equation by x
100=7.188703465982*x       - we divide both sides of the equation by (7.188703465982) to get x
100/7.188703465982=x
13.910714285714=x
x=13.910714285714

now we have:
77.9 is 13.910714285714% of 560