160.41 is what percent of 968.5 - 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 968.5 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 968.5, so we can write it down as 100%=968.5.
4. We know, that x% equals 160.41 of the output value, so we can write it down as x%=160.41.
5. Now we have two simple equations:
1) 100%=968.5
2) x%=160.41
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%=968.5/160.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.41 is what percent of 968.5

100%/x%=968.5/160.41
(100/x)*x=(968.5/160.41)*x       - we multiply both sides of the equation by x
100=6.0376535128733*x       - we divide both sides of the equation by (6.0376535128733) to get x
100/6.0376535128733=x
16.562725864739=x
x=16.562725864739

now we have:
160.41 is 16.562725864739% of 968.5