56 is what percent of 5280 - 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 5280 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 5280, so we can write it down as 100%=5280.
4. We know, that x% equals 56 of the output value, so we can write it down as x%=56.
5. Now we have two simple equations:
1) 100%=5280
2) x%=56
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%=5280/56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56 is what percent of 5280

100%/x%=5280/56
(100/x)*x=(5280/56)*x       - we multiply both sides of the equation by x
100=94.285714285714*x       - we divide both sides of the equation by (94.285714285714) to get x
100/94.285714285714=x
1.0606060606061=x
x=1.0606060606061

now we have:
56 is 1.0606060606061% of 5280