6625.52 is what percent of 49104 - 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 49104 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 49104, so we can write it down as 100%=49104.
4. We know, that x% equals 6625.52 of the output value, so we can write it down as x%=6625.52.
5. Now we have two simple equations:
1) 100%=49104
2) x%=6625.52
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%=49104/6625.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6625.52 is what percent of 49104

100%/x%=49104/6625.52
(100/x)*x=(49104/6625.52)*x       - we multiply both sides of the equation by x
100=7.4113428078098*x       - we divide both sides of the equation by (7.4113428078098) to get x
100/7.4113428078098=x
13.492831541219=x
x=13.492831541219

now we have:
6625.52 is 13.492831541219% of 49104