646.05 is what percent of 4163.95 - 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 4163.95 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 4163.95, so we can write it down as 100%=4163.95.
4. We know, that x% equals 646.05 of the output value, so we can write it down as x%=646.05.
5. Now we have two simple equations:
1) 100%=4163.95
2) x%=646.05
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%=4163.95/646.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 646.05 is what percent of 4163.95

100%/x%=4163.95/646.05
(100/x)*x=(4163.95/646.05)*x       - we multiply both sides of the equation by x
100=6.4452441761474*x       - we divide both sides of the equation by (6.4452441761474) to get x
100/6.4452441761474=x
15.515315986023=x
x=15.515315986023

now we have:
646.05 is 15.515315986023% of 4163.95