12.33 is what percent of 11144.47 - 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 11144.47 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 11144.47, so we can write it down as 100%=11144.47.
4. We know, that x% equals 12.33 of the output value, so we can write it down as x%=12.33.
5. Now we have two simple equations:
1) 100%=11144.47
2) x%=12.33
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%=11144.47/12.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.33 is what percent of 11144.47

100%/x%=11144.47/12.33
(100/x)*x=(11144.47/12.33)*x       - we multiply both sides of the equation by x
100=903.8499594485*x       - we divide both sides of the equation by (903.8499594485) to get x
100/903.8499594485=x
0.11063783203688=x
x=0.11063783203688

now we have:
12.33 is 0.11063783203688% of 11144.47