What is 2.24 percent of 11.2 - 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 11.2 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 11.2 is 100%, so we can write it down as 11.2=100%.
4. We know, that x is 2.24% of the output value, so we can write it down as x=2.24%.
5. Now we have two simple equations:
1) 11.2=100%
2) x=2.24%
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:
11.2/x=100%/2.24%
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 2.24% of 11.2

11.2/x=100/2.24
(11.2/x)*x=(100/2.24)*x       - we multiply both sides of the equation by x
11.2=44.642857142857*x       - we divide both sides of the equation by (44.642857142857) to get x
11.2/44.642857142857=x
0.25088=x
x=0.25088

now we have:
2.24% of 11.2=0.25088