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: [-23.947, 124.756, 143.064, 35.178, -39.507, -72.421, 163.231, 174.318]
A:
[-0.047  0.247  0.283  0.07  -0.078 -0.144  0.323  0.345]