12.2 is what percent of 102.3 - 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 102.3 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 102.3, so we can write it down as 100%=102.3.
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%=102.3
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%=102.3/12.2
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 102.3

100%/x%=102.3/12.2
(100/x)*x=(102.3/12.2)*x       - we multiply both sides of the equation by x
100=8.3852459016393*x       - we divide both sides of the equation by (8.3852459016393) to get x
100/8.3852459016393=x
11.925708699902=x
x=11.925708699902

now we have:
12.2 is 11.925708699902% of 102.3