18.8 is what percent of 31.2 - 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 31.2 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 31.2, so we can write it down as 100%=31.2.
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%=31.2
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%=31.2/18.8
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 31.2

100%/x%=31.2/18.8
(100/x)*x=(31.2/18.8)*x       - we multiply both sides of the equation by x
100=1.6595744680851*x       - we divide both sides of the equation by (1.6595744680851) to get x
100/1.6595744680851=x
60.25641025641=x
x=60.25641025641

now we have:
18.8 is 60.25641025641% of 31.2