207.2 is what percent of 1606.69 - 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 1606.69 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 1606.69, so we can write it down as 100%=1606.69.
4. We know, that x% equals 207.2 of the output value, so we can write it down as x%=207.2.
5. Now we have two simple equations:
1) 100%=1606.69
2) x%=207.2
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%=1606.69/207.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 207.2 is what percent of 1606.69

100%/x%=1606.69/207.2
(100/x)*x=(1606.69/207.2)*x       - we multiply both sides of the equation by x
100=7.7542953667954*x       - we divide both sides of the equation by (7.7542953667954) to get x
100/7.7542953667954=x
12.896078272722=x
x=12.896078272722

now we have:
207.2 is 12.896078272722% of 1606.69