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.

Example input: [1, 2, 3]
Example output: [0.167, 0.333, 0.500]
Example explanation: 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.
Q: [107.432, 53.513, 147.848, -48.165, 103.219, 154.297, 104.372, -40.609]
A:
[ 0.185  0.092  0.254 -0.083  0.177  0.265  0.179 -0.07 ]