44.64 is what percent of 113.64 - 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 113.64 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 113.64, so we can write it down as 100%=113.64.
4. We know, that x% equals 44.64 of the output value, so we can write it down as x%=44.64.
5. Now we have two simple equations:
1) 100%=113.64
2) x%=44.64
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%=113.64/44.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.64 is what percent of 113.64

100%/x%=113.64/44.64
(100/x)*x=(113.64/44.64)*x       - we multiply both sides of the equation by x
100=2.5456989247312*x       - we divide both sides of the equation by (2.5456989247312) to get x
100/2.5456989247312=x
39.281942977825=x
x=39.281942977825

now we have:
44.64 is 39.281942977825% of 113.64