You will be given a definition of a task first, then an example. Follow the example to solve a new instance of the task.
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.

[1, 2, 3]
Solution: [0.167, 0.333, 0.500]
Why? 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.

New input: [-92.57, 75.591, 170.949, 218.802, -16.535, 156.154, -64.379, 171.398, -31.622, 42.001]
Solution:
[-0.147  0.12   0.271  0.347 -0.026  0.248 -0.102  0.272 -0.05   0.067]