12.2 is what percent of 167.8 - 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 167.8 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 167.8, so we can write it down as 100%=167.8.
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%=167.8
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%=167.8/12.2
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 167.8

100%/x%=167.8/12.2
(100/x)*x=(167.8/12.2)*x       - we multiply both sides of the equation by x
100=13.754098360656*x       - we divide both sides of the equation by (13.754098360656) to get x
100/13.754098360656=x
7.2705601907032=x
x=7.2705601907032

now we have:
12.2 is 7.2705601907032% of 167.8