18.2 is what percent of 111.2 - 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 111.2 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 100% equals 111.2, so we can write it down as 100%=111.2.
4. We know, that x% equals 18.2 of the output value, so we can write it down as x%=18.2.
5. Now we have two simple equations:
1) 100%=111.2
2) x%=18.2
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%=111.2/18.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.2 is what percent of 111.2

100%/x%=111.2/18.2
(100/x)*x=(111.2/18.2)*x       - we multiply both sides of the equation by x
100=6.1098901098901*x       - we divide both sides of the equation by (6.1098901098901) to get x
100/6.1098901098901=x
16.36690647482=x
x=16.36690647482

now we have:
18.2 is 16.36690647482% of 111.2