16.67 is what percent of 18.25 - 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 18.25 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 18.25, so we can write it down as 100%=18.25.
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%=18.25
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%=18.25/16.67
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 18.25

100%/x%=18.25/16.67
(100/x)*x=(18.25/16.67)*x       - we multiply both sides of the equation by x
100=1.0947810437912*x       - we divide both sides of the equation by (1.0947810437912) to get x
100/1.0947810437912=x
91.342465753425=x
x=91.342465753425

now we have:
16.67 is 91.342465753425% of 18.25