55 is what percent of 5.084 - 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 5.084 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 5.084, so we can write it down as 100%=5.084.
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%=5.084
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%=5.084/55
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 5.084

100%/x%=5.084/55
(100/x)*x=(5.084/55)*x       - we multiply both sides of the equation by x
100=0.092436363636364*x       - we divide both sides of the equation by (0.092436363636364) to get x
100/0.092436363636364=x
1081.8253343824=x
x=1081.8253343824

now we have:
55 is 1081.8253343824% of 5.084