628.52 is what percent of 4471.31 - 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 4471.31 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 4471.31, so we can write it down as 100%=4471.31.
4. We know, that x% equals 628.52 of the output value, so we can write it down as x%=628.52.
5. Now we have two simple equations:
1) 100%=4471.31
2) x%=628.52
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%=4471.31/628.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 628.52 is what percent of 4471.31

100%/x%=4471.31/628.52
(100/x)*x=(4471.31/628.52)*x       - we multiply both sides of the equation by x
100=7.1140297842551*x       - we divide both sides of the equation by (7.1140297842551) to get x
100/7.1140297842551=x
14.05673057784=x
x=14.05673057784

now we have:
628.52 is 14.05673057784% of 4471.31