160.8 is what percent of 106 - 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 106 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 106, so we can write it down as 100%=106.
4. We know, that x% equals 160.8 of the output value, so we can write it down as x%=160.8.
5. Now we have two simple equations:
1) 100%=106
2) x%=160.8
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%=106/160.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.8 is what percent of 106

100%/x%=106/160.8
(100/x)*x=(106/160.8)*x       - we multiply both sides of the equation by x
100=0.6592039800995*x       - we divide both sides of the equation by (0.6592039800995) to get x
100/0.6592039800995=x
151.69811320755=x
x=151.69811320755

now we have:
160.8 is 151.69811320755% of 106