48.71 is what percent of 444 - 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 444 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 444, so we can write it down as 100%=444.
4. We know, that x% equals 48.71 of the output value, so we can write it down as x%=48.71.
5. Now we have two simple equations:
1) 100%=444
2) x%=48.71
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%=444/48.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.71 is what percent of 444

100%/x%=444/48.71
(100/x)*x=(444/48.71)*x       - we multiply both sides of the equation by x
100=9.1151714227058*x       - we divide both sides of the equation by (9.1151714227058) to get x
100/9.1151714227058=x
10.970720720721=x
x=10.970720720721

now we have:
48.71 is 10.970720720721% of 444