56 is what percent of 8 - 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 8 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 8, so we can write it down as 100%=8.
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%=8
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%=8/56
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 8

100%/x%=8/56
(100/x)*x=(8/56)*x       - we multiply both sides of the equation by x
100=0.142857142857*x       - we divide both sides of the equation by (0.142857142857) to get x
100/0.142857142857=x
700=x
x=700

now we have:
56 is 700% of 8