38.89 is what percent of 103.72 - 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 103.72 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 103.72, so we can write it down as 100%=103.72.
4. We know, that x% equals 38.89 of the output value, so we can write it down as x%=38.89.
5. Now we have two simple equations:
1) 100%=103.72
2) x%=38.89
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%=103.72/38.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.89 is what percent of 103.72

100%/x%=103.72/38.89
(100/x)*x=(103.72/38.89)*x       - we multiply both sides of the equation by x
100=2.6670095140139*x       - we divide both sides of the equation by (2.6670095140139) to get x
100/2.6670095140139=x
37.495179328963=x
x=37.495179328963

now we have:
38.89 is 37.495179328963% of 103.72