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.

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

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