18.67 is what percent of 33.9 - 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 33.9 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 33.9, so we can write it down as 100%=33.9.
4. We know, that x% equals 18.67 of the output value, so we can write it down as x%=18.67.
5. Now we have two simple equations:
1) 100%=33.9
2) x%=18.67
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%=33.9/18.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.67 is what percent of 33.9

100%/x%=33.9/18.67
(100/x)*x=(33.9/18.67)*x       - we multiply both sides of the equation by x
100=1.8157471880021*x       - we divide both sides of the equation by (1.8157471880021) to get x
100/1.8157471880021=x
55.073746312684=x
x=55.073746312684

now we have:
18.67 is 55.073746312684% of 33.9