5304.5 is what percent of 11014.7 - 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 11014.7 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 11014.7, so we can write it down as 100%=11014.7.
4. We know, that x% equals 5304.5 of the output value, so we can write it down as x%=5304.5.
5. Now we have two simple equations:
1) 100%=11014.7
2) x%=5304.5
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%=11014.7/5304.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5304.5 is what percent of 11014.7

100%/x%=11014.7/5304.5
(100/x)*x=(11014.7/5304.5)*x       - we multiply both sides of the equation by x
100=2.0764822320671*x       - we divide both sides of the equation by (2.0764822320671) to get x
100/2.0764822320671=x
48.158370178035=x
x=48.158370178035

now we have:
5304.5 is 48.158370178035% of 11014.7