What is 42.58 percent of 55 - 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 55 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 55 is 100%, so we can write it down as 55=100%.
4. We know, that x is 42.58% of the output value, so we can write it down as x=42.58%.
5. Now we have two simple equations:
1) 55=100%
2) x=42.58%
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:
55/x=100%/42.58%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 42.58% of 55

55/x=100/42.58
(55/x)*x=(100/42.58)*x       - we multiply both sides of the equation by x
55=2.3485204321278*x       - we divide both sides of the equation by (2.3485204321278) to get x
55/2.3485204321278=x
23.419=x
x=23.419

now we have:
42.58% of 55=23.419