12.2 is what percent of 146.6 - 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 146.6 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 146.6, so we can write it down as 100%=146.6.
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%=146.6
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%=146.6/12.2
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 146.6

100%/x%=146.6/12.2
(100/x)*x=(146.6/12.2)*x       - we multiply both sides of the equation by x
100=12.016393442623*x       - we divide both sides of the equation by (12.016393442623) to get x
100/12.016393442623=x
8.3219645293315=x
x=8.3219645293315

now we have:
12.2 is 8.3219645293315% of 146.6