122.7 is what percent of 672.16 - 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 672.16 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 672.16, so we can write it down as 100%=672.16.
4. We know, that x% equals 122.7 of the output value, so we can write it down as x%=122.7.
5. Now we have two simple equations:
1) 100%=672.16
2) x%=122.7
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%=672.16/122.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.7 is what percent of 672.16

100%/x%=672.16/122.7
(100/x)*x=(672.16/122.7)*x       - we multiply both sides of the equation by x
100=5.478076609617*x       - we divide both sides of the equation by (5.478076609617) to get x
100/5.478076609617=x
18.254582242323=x
x=18.254582242323

now we have:
122.7 is 18.254582242323% of 672.16