You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[1, 2, 3]
Solution: [0.167, 0.333, 0.500]
Why? The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.

New input: [47.545, 55.427, 43.305, -82.622, 36.482, 80.016, 155.373, 177.677, -74.185]
Solution:
[ 0.108  0.126  0.099 -0.188  0.083  0.182  0.354  0.405 -0.169]