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.

[59.038, 114.149, -19.659, 47.155, 100.935, 163.416, -31.477, -99.716]
[ 0.177  0.342 -0.059  0.141  0.302  0.49  -0.094 -0.299]