55.58 is what percent of 1481.2 - 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 1481.2 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 1481.2, so we can write it down as 100%=1481.2.
4. We know, that x% equals 55.58 of the output value, so we can write it down as x%=55.58.
5. Now we have two simple equations:
1) 100%=1481.2
2) x%=55.58
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%=1481.2/55.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.58 is what percent of 1481.2

100%/x%=1481.2/55.58
(100/x)*x=(1481.2/55.58)*x       - we multiply both sides of the equation by x
100=26.649874055416*x       - we divide both sides of the equation by (26.649874055416) to get x
100/26.649874055416=x
3.7523629489603=x
x=3.7523629489603

now we have:
55.58 is 3.7523629489603% of 1481.2