18.64 is what percent of 38.39 - 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 38.39 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 38.39, so we can write it down as 100%=38.39.
4. We know, that x% equals 18.64 of the output value, so we can write it down as x%=18.64.
5. Now we have two simple equations:
1) 100%=38.39
2) x%=18.64
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%=38.39/18.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.64 is what percent of 38.39

100%/x%=38.39/18.64
(100/x)*x=(38.39/18.64)*x       - we multiply both sides of the equation by x
100=2.0595493562232*x       - we divide both sides of the equation by (2.0595493562232) to get x
100/2.0595493562232=x
48.554311018494=x
x=48.554311018494

now we have:
18.64 is 48.554311018494% of 38.39