44.89 is what percent of 393.75 - 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 393.75 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 393.75, so we can write it down as 100%=393.75.
4. We know, that x% equals 44.89 of the output value, so we can write it down as x%=44.89.
5. Now we have two simple equations:
1) 100%=393.75
2) x%=44.89
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%=393.75/44.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.89 is what percent of 393.75

100%/x%=393.75/44.89
(100/x)*x=(393.75/44.89)*x       - we multiply both sides of the equation by x
100=8.7714413009579*x       - we divide both sides of the equation by (8.7714413009579) to get x
100/8.7714413009579=x
11.400634920635=x
x=11.400634920635

now we have:
44.89 is 11.400634920635% of 393.75