55 is what percent of 360.62 - 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 360.62 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 360.62, so we can write it down as 100%=360.62.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=360.62
2) x%=55
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%=360.62/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 360.62

100%/x%=360.62/55
(100/x)*x=(360.62/55)*x       - we multiply both sides of the equation by x
100=6.5567272727273*x       - we divide both sides of the equation by (6.5567272727273) to get x
100/6.5567272727273=x
15.251511286118=x
x=15.251511286118

now we have:
55 is 15.251511286118% of 360.62