12.2 is what percent of 16.6666667 - 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 16.6666667 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 16.6666667, so we can write it down as 100%=16.6666667.
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%=16.6666667
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%=16.6666667/12.2
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 16.6666667

100%/x%=16.6666667/12.2
(100/x)*x=(16.6666667/12.2)*x       - we multiply both sides of the equation by x
100=1.3661202213115*x       - we divide both sides of the equation by (1.3661202213115) to get x
100/1.3661202213115=x
73.1999998536=x
x=73.1999998536

now we have:
12.2 is 73.1999998536% of 16.6666667