39.96 is what percent of 44.38 - 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 44.38 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 44.38, so we can write it down as 100%=44.38.
4. We know, that x% equals 39.96 of the output value, so we can write it down as x%=39.96.
5. Now we have two simple equations:
1) 100%=44.38
2) x%=39.96
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%=44.38/39.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.96 is what percent of 44.38

100%/x%=44.38/39.96
(100/x)*x=(44.38/39.96)*x       - we multiply both sides of the equation by x
100=1.1106106106106*x       - we divide both sides of the equation by (1.1106106106106) to get x
100/1.1106106106106=x
90.040558810275=x
x=90.040558810275

now we have:
39.96 is 90.040558810275% of 44.38