11.2 is what percent of 11872 - 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 11872 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 11872, so we can write it down as 100%=11872.
4. We know, that x% equals 11.2 of the output value, so we can write it down as x%=11.2.
5. Now we have two simple equations:
1) 100%=11872
2) x%=11.2
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%=11872/11.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.2 is what percent of 11872

100%/x%=11872/11.2
(100/x)*x=(11872/11.2)*x       - we multiply both sides of the equation by x
100=1060*x       - we divide both sides of the equation by (1060) to get x
100/1060=x
0.094339622641509=x
x=0.094339622641509

now we have:
11.2 is 0.094339622641509% of 11872