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.

[126.87, -50.415, 159.606, -21.623, -8.782, -59.159, -54.948, 101.401, 117.224]

[ 0.409 -0.163  0.515 -0.07  -0.028 -0.191 -0.177  0.327  0.378]