11.2 is what percent of 318.1 - 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 318.1 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 318.1, so we can write it down as 100%=318.1.
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%=318.1
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%=318.1/11.2
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 318.1

100%/x%=318.1/11.2
(100/x)*x=(318.1/11.2)*x       - we multiply both sides of the equation by x
100=28.401785714286*x       - we divide both sides of the equation by (28.401785714286) to get x
100/28.401785714286=x
3.520905375668=x
x=3.520905375668

now we have:
11.2 is 3.520905375668% of 318.1