/usr/lib/linux-tools/4.4.0-1043-aws/perf is in linux-tools-4.4.0-1043-aws 4.4.0-1043.52.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/linux-tools/4.4.0-1043-aws/../../linux-aws-tools-4.4.0-1043/perf