What is 11.472 percent of 0.24 - 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 0.24 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 0.24 is 100%, so we can write it down as 0.24=100%.
4. We know, that x is 11.472% of the output value, so we can write it down as x=11.472%.
5. Now we have two simple equations:
1) 0.24=100%
2) x=11.472%
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:
0.24/x=100%/11.472%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 11.472% of 0.24

0.24/x=100/11.472
(0.24/x)*x=(100/11.472)*x       - we multiply both sides of the equation by x
0.24=8.7168758716876*x       - we divide both sides of the equation by (8.7168758716876) to get x
0.24/8.7168758716876=x
0.0275328=x
x=0.0275328

now we have:
11.472% of 0.24=0.0275328