71.71 is what percent of 4509.64 - 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 4509.64 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 4509.64, so we can write it down as 100%=4509.64.
4. We know, that x% equals 71.71 of the output value, so we can write it down as x%=71.71.
5. Now we have two simple equations:
1) 100%=4509.64
2) x%=71.71
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%=4509.64/71.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.71 is what percent of 4509.64

100%/x%=4509.64/71.71
(100/x)*x=(4509.64/71.71)*x       - we multiply both sides of the equation by x
100=62.887184493097*x       - we divide both sides of the equation by (62.887184493097) to get x
100/62.887184493097=x
1.5901491028109=x
x=1.5901491028109

now we have:
71.71 is 1.5901491028109% of 4509.64