What is 11.2 percent of 338 - 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 338 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 338 is 100%, so we can write it down as 338=100%.
4. We know, that x is 11.2% of the output value, so we can write it down as x=11.2%.
5. Now we have two simple equations:
1) 338=100%
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:
338/x=100%/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 what is 11.2% of 338

338/x=100/11.2
(338/x)*x=(100/11.2)*x       - we multiply both sides of the equation by x
338=8.9285714285714*x       - we divide both sides of the equation by (8.9285714285714) to get x
338/8.9285714285714=x
37.856=x
x=37.856

now we have:
11.2% of 338=37.856