160.98 is what percent of 1178.1 - 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 1178.1 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 1178.1, so we can write it down as 100%=1178.1.
4. We know, that x% equals 160.98 of the output value, so we can write it down as x%=160.98.
5. Now we have two simple equations:
1) 100%=1178.1
2) x%=160.98
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%=1178.1/160.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.98 is what percent of 1178.1

100%/x%=1178.1/160.98
(100/x)*x=(1178.1/160.98)*x       - we multiply both sides of the equation by x
100=7.3183004099888*x       - we divide both sides of the equation by (7.3183004099888) to get x
100/7.3183004099888=x
13.664374840845=x
x=13.664374840845

now we have:
160.98 is 13.664374840845% of 1178.1