44.37 is what percent of 102.47 - 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 102.47 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 102.47, so we can write it down as 100%=102.47.
4. We know, that x% equals 44.37 of the output value, so we can write it down as x%=44.37.
5. Now we have two simple equations:
1) 100%=102.47
2) x%=44.37
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%=102.47/44.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.37 is what percent of 102.47

100%/x%=102.47/44.37
(100/x)*x=(102.47/44.37)*x       - we multiply both sides of the equation by x
100=2.3094433175569*x       - we divide both sides of the equation by (2.3094433175569) to get x
100/2.3094433175569=x
43.300478188738=x
x=43.300478188738

now we have:
44.37 is 43.300478188738% of 102.47