Given the task definition, example input & output, solve the new input case.
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.
Example: [1, 2, 3]
Output: [0.167, 0.333, 0.500]
The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.

New input case for you: [201.545, 209.17, 70.652, -93.651, 2.997, 118.673, 3.788, 68.166, 52.867]
Output:
[ 0.318  0.33   0.111 -0.148  0.005  0.187  0.006  0.107  0.083]