44.72 is what percent of 1429.2 - 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 1429.2 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 1429.2, so we can write it down as 100%=1429.2.
4. We know, that x% equals 44.72 of the output value, so we can write it down as x%=44.72.
5. Now we have two simple equations:
1) 100%=1429.2
2) x%=44.72
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%=1429.2/44.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 44.72 is what percent of 1429.2

100%/x%=1429.2/44.72
(100/x)*x=(1429.2/44.72)*x       - we multiply both sides of the equation by x
100=31.95885509839*x       - we divide both sides of the equation by (31.95885509839) to get x
100/31.95885509839=x
3.1290232297789=x
x=3.1290232297789

now we have:
44.72 is 3.1290232297789% of 1429.2