672.16 is what percent of 3172.16 - 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 3172.16 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 3172.16, so we can write it down as 100%=3172.16.
4. We know, that x% equals 672.16 of the output value, so we can write it down as x%=672.16.
5. Now we have two simple equations:
1) 100%=3172.16
2) x%=672.16
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%=3172.16/672.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 672.16 is what percent of 3172.16

100%/x%=3172.16/672.16
(100/x)*x=(3172.16/672.16)*x       - we multiply both sides of the equation by x
100=4.7193525351107*x       - we divide both sides of the equation by (4.7193525351107) to get x
100/4.7193525351107=x
21.189347321699=x
x=21.189347321699

now we have:
672.16 is 21.189347321699% of 3172.16