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.

[127.573, -39.517, -99.995, 157.205, -90.467, -53.364, 65.246, 39.272]

[ 1.204 -0.373 -0.944  1.484 -0.854 -0.504  0.616  0.371]