44.28 is what percent of 46.72 - 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 46.72 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 46.72, so we can write it down as 100%=46.72.
4. We know, that x% equals 44.28 of the output value, so we can write it down as x%=44.28.
5. Now we have two simple equations:
1) 100%=46.72
2) x%=44.28
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%=46.72/44.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.28 is what percent of 46.72

100%/x%=46.72/44.28
(100/x)*x=(46.72/44.28)*x       - we multiply both sides of the equation by x
100=1.0551038843722*x       - we divide both sides of the equation by (1.0551038843722) to get x
100/1.0551038843722=x
94.777397260274=x
x=94.777397260274

now we have:
44.28 is 94.777397260274% of 46.72