38.81 is what percent of 163.13 - 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 163.13 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 163.13, so we can write it down as 100%=163.13.
4. We know, that x% equals 38.81 of the output value, so we can write it down as x%=38.81.
5. Now we have two simple equations:
1) 100%=163.13
2) x%=38.81
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%=163.13/38.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.81 is what percent of 163.13

100%/x%=163.13/38.81
(100/x)*x=(163.13/38.81)*x       - we multiply both sides of the equation by x
100=4.2032981190415*x       - we divide both sides of the equation by (4.2032981190415) to get x
100/4.2032981190415=x
23.790841660026=x
x=23.790841660026

now we have:
38.81 is 23.790841660026% of 163.13