16.67 is what percent of 227.08 - 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 227.08 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 227.08, so we can write it down as 100%=227.08.
4. We know, that x% equals 16.67 of the output value, so we can write it down as x%=16.67.
5. Now we have two simple equations:
1) 100%=227.08
2) x%=16.67
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%=227.08/16.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.67 is what percent of 227.08

100%/x%=227.08/16.67
(100/x)*x=(227.08/16.67)*x       - we multiply both sides of the equation by x
100=13.622075584883*x       - we divide both sides of the equation by (13.622075584883) to get x
100/13.622075584883=x
7.3410251893606=x
x=7.3410251893606

now we have:
16.67 is 7.3410251893606% of 227.08