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: [115.099, 157.849, 70.707, 196.718, -2.533, 90.656, 134.379, 221.063]
A:
[ 0.117  0.16   0.072  0.2   -0.003  0.092  0.137  0.225]