GOODWILL AND INTANGIBLE ASSETS - Changes in the Carrying Amount of Goodwill by Reporting Segment (Details) $ in Millions	3 Months Ended
	Jan. 01, 2023 USD ($)
Goodwill [Roll Forward]
Goodwill at beginning of period	$ 953.1
Foreign currency impact	8.9
Goodwill at end of period	965.0
Tristar
Goodwill [Roll Forward]
Tristar Business acquisition adjustment	3.0
HPC
Goodwill [Roll Forward]
Goodwill at beginning of period	108.1
Foreign currency impact	0.0
Goodwill at end of period	111.1
HPC | Tristar
Goodwill [Roll Forward]
Tristar Business acquisition adjustment	3.0
GPC
Goodwill [Roll Forward]
Goodwill at beginning of period	502.4
Foreign currency impact	8.9
Goodwill at end of period	511.3
GPC | Tristar
Goodwill [Roll Forward]
Tristar Business acquisition adjustment	0.0
H&G
Goodwill [Roll Forward]
Goodwill at beginning of period	342.6
Foreign currency impact	0.0
Goodwill at end of period	342.6
H&G | Tristar
Goodwill [Roll Forward]
Tristar Business acquisition adjustment	$ 0.0