56.09 is what percent of 2684 - 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 2684 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 2684, so we can write it down as 100%=2684.
4. We know, that x% equals 56.09 of the output value, so we can write it down as x%=56.09.
5. Now we have two simple equations:
1) 100%=2684
2) x%=56.09
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%=2684/56.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.09 is what percent of 2684

100%/x%=2684/56.09
(100/x)*x=(2684/56.09)*x       - we multiply both sides of the equation by x
100=47.851666963808*x       - we divide both sides of the equation by (47.851666963808) to get x
100/47.851666963808=x
2.0897913561848=x
x=2.0897913561848

now we have:
56.09 is 2.0897913561848% of 2684