38.72 is what percent of 91.96 - 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 91.96 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 91.96, so we can write it down as 100%=91.96.
4. We know, that x% equals 38.72 of the output value, so we can write it down as x%=38.72.
5. Now we have two simple equations:
1) 100%=91.96
2) x%=38.72
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%=91.96/38.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.72 is what percent of 91.96

100%/x%=91.96/38.72
(100/x)*x=(91.96/38.72)*x       - we multiply both sides of the equation by x
100=2.375*x       - we divide both sides of the equation by (2.375) to get x
100/2.375=x
42.105263157895=x
x=42.105263157895

now we have:
38.72 is 42.105263157895% of 91.96