20.8 is what percent of 112.2 - 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 112.2 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 112.2, so we can write it down as 100%=112.2.
4. We know, that x% equals 20.8 of the output value, so we can write it down as x%=20.8.
5. Now we have two simple equations:
1) 100%=112.2
2) x%=20.8
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%=112.2/20.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.8 is what percent of 112.2

100%/x%=112.2/20.8
(100/x)*x=(112.2/20.8)*x       - we multiply both sides of the equation by x
100=5.3942307692308*x       - we divide both sides of the equation by (5.3942307692308) to get x
100/5.3942307692308=x
18.538324420677=x
x=18.538324420677

now we have:
20.8 is 18.538324420677% of 112.2