12.2 is what percent of 102.2 - 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 102.2 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 102.2, so we can write it down as 100%=102.2.
4. We know, that x% equals 12.2 of the output value, so we can write it down as x%=12.2.
5. Now we have two simple equations:
1) 100%=102.2
2) x%=12.2
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%=102.2/12.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.2 is what percent of 102.2

100%/x%=102.2/12.2
(100/x)*x=(102.2/12.2)*x       - we multiply both sides of the equation by x
100=8.3770491803279*x       - we divide both sides of the equation by (8.3770491803279) to get x
100/8.3770491803279=x
11.937377690802=x
x=11.937377690802

now we have:
12.2 is 11.937377690802% of 102.2