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: [1, 2, 3]
Example solution: [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.

Problem: [93.567, 100.118, 196.52, -14.492, 207.779, 66.852, -89.876, 153.844]

Solution: [ 0.131  0.14   0.275 -0.02   0.291  0.094 -0.126  0.215]