55.13 is what percent of 439.99 - 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 439.99 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 439.99, so we can write it down as 100%=439.99.
4. We know, that x% equals 55.13 of the output value, so we can write it down as x%=55.13.
5. Now we have two simple equations:
1) 100%=439.99
2) x%=55.13
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%=439.99/55.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.13 is what percent of 439.99

100%/x%=439.99/55.13
(100/x)*x=(439.99/55.13)*x       - we multiply both sides of the equation by x
100=7.9809541084709*x       - we divide both sides of the equation by (7.9809541084709) to get x
100/7.9809541084709=x
12.529830223414=x
x=12.529830223414

now we have:
55.13 is 12.529830223414% of 439.99