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.

[43.684, -50.379, 211.211, 188.1, 37.921, 97.368, 134.192, -52.748]

[ 0.072 -0.083  0.347  0.309  0.062  0.16   0.22  -0.087]