4175.63 is what percent of 55880.98 - 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 55880.98 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 55880.98, so we can write it down as 100%=55880.98.
4. We know, that x% equals 4175.63 of the output value, so we can write it down as x%=4175.63.
5. Now we have two simple equations:
1) 100%=55880.98
2) x%=4175.63
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%=55880.98/4175.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4175.63 is what percent of 55880.98

100%/x%=55880.98/4175.63
(100/x)*x=(55880.98/4175.63)*x       - we multiply both sides of the equation by x
100=13.382646450955*x       - we divide both sides of the equation by (13.382646450955) to get x
100/13.382646450955=x
7.4723635841748=x
x=7.4723635841748

now we have:
4175.63 is 7.4723635841748% of 55880.98