2971.12 is what percent of 6443.44 - 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 6443.44 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 6443.44, so we can write it down as 100%=6443.44.
4. We know, that x% equals 2971.12 of the output value, so we can write it down as x%=2971.12.
5. Now we have two simple equations:
1) 100%=6443.44
2) x%=2971.12
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%=6443.44/2971.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2971.12 is what percent of 6443.44

100%/x%=6443.44/2971.12
(100/x)*x=(6443.44/2971.12)*x       - we multiply both sides of the equation by x
100=2.1686905947925*x       - we divide both sides of the equation by (2.1686905947925) to get x
100/2.1686905947925=x
46.110773127398=x
x=46.110773127398

now we have:
2971.12 is 46.110773127398% of 6443.44