55 is what percent of 182.595 - 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 182.595 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 182.595, so we can write it down as 100%=182.595.
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%=182.595
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%=182.595/55
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 182.595

100%/x%=182.595/55
(100/x)*x=(182.595/55)*x       - we multiply both sides of the equation by x
100=3.3199090909091*x       - we divide both sides of the equation by (3.3199090909091) to get x
100/3.3199090909091=x
30.121306717051=x
x=30.121306717051

now we have:
55 is 30.121306717051% of 182.595