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.

[80.568, 120.84, -84.585, -98.082, 63.901, 79.988, -95.911, -67.174]

[-177.073 -265.582  185.901  215.565 -140.442 -175.798  210.793  147.635]