/usr/lib/linux-tools/4.8.0-36-lowlatency/perf is in linux-tools-4.8.0-36-lowlatency 4.8.0-36.36~16.04.1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/linux-tools/4.8.0-36-lowlatency/../../linux-hwe-tools-4.8.0-36/perf