18.8 is what percent of 30.6 - 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 30.6 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 30.6, so we can write it down as 100%=30.6.
4. We know, that x% equals 18.8 of the output value, so we can write it down as x%=18.8.
5. Now we have two simple equations:
1) 100%=30.6
2) x%=18.8
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%=30.6/18.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.8 is what percent of 30.6

100%/x%=30.6/18.8
(100/x)*x=(30.6/18.8)*x       - we multiply both sides of the equation by x
100=1.6276595744681*x       - we divide both sides of the equation by (1.6276595744681) to get x
100/1.6276595744681=x
61.437908496732=x
x=61.437908496732

now we have:
18.8 is 61.437908496732% of 30.6