55.5 is what percent of 3029.98 - 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 3029.98 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 3029.98, so we can write it down as 100%=3029.98.
4. We know, that x% equals 55.5 of the output value, so we can write it down as x%=55.5.
5. Now we have two simple equations:
1) 100%=3029.98
2) x%=55.5
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%=3029.98/55.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.5 is what percent of 3029.98

100%/x%=3029.98/55.5
(100/x)*x=(3029.98/55.5)*x       - we multiply both sides of the equation by x
100=54.594234234234*x       - we divide both sides of the equation by (54.594234234234) to get x
100/54.594234234234=x
1.8316952587146=x
x=1.8316952587146

now we have:
55.5 is 1.8316952587146% of 3029.98