Given the task definition and input, reply with output. 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.

[31.697, -83.277, 4.13, -50.027, -84.58, -31.329, -95.988, -35.997, 111.188]

[-0.135  0.356 -0.018  0.214  0.361  0.134  0.41   0.154 -0.475]