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: [84.457, 200.101, -32.781, 110.73, 71.779, -44.0, -92.195, 206.215]

Solution: [ 0.167  0.397 -0.065  0.22   0.142 -0.087 -0.183  0.409]