56.58 is what percent of 182.8 - 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 182.8 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 182.8, so we can write it down as 100%=182.8.
4. We know, that x% equals 56.58 of the output value, so we can write it down as x%=56.58.
5. Now we have two simple equations:
1) 100%=182.8
2) x%=56.58
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%=182.8/56.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.58 is what percent of 182.8

100%/x%=182.8/56.58
(100/x)*x=(182.8/56.58)*x       - we multiply both sides of the equation by x
100=3.230823612584*x       - we divide both sides of the equation by (3.230823612584) to get x
100/3.230823612584=x
30.951859956236=x
x=30.951859956236

now we have:
56.58 is 30.951859956236% of 182.8