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: [8.25, 161.078, -81.934, 167.547, 129.649, 100.223, -66.245, -17.48]
A:
[ 0.021  0.402 -0.204  0.418  0.323  0.25  -0.165 -0.044]