160.13 is what percent of 1195.6 - 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 1195.6 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 1195.6, so we can write it down as 100%=1195.6.
4. We know, that x% equals 160.13 of the output value, so we can write it down as x%=160.13.
5. Now we have two simple equations:
1) 100%=1195.6
2) x%=160.13
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%=1195.6/160.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.13 is what percent of 1195.6

100%/x%=1195.6/160.13
(100/x)*x=(1195.6/160.13)*x       - we multiply both sides of the equation by x
100=7.4664335227628*x       - we divide both sides of the equation by (7.4664335227628) to get x
100/7.4664335227628=x
13.393275342924=x
x=13.393275342924

now we have:
160.13 is 13.393275342924% of 1195.6