Goodwill and Other Intangible Assets, Net - Schedule of the Changes in the Carrying Amount of Goodwill (Details) $ in Millions	9 Months Ended
	Aug. 02, 2024 USD ($)
Changes in the net carrying amount of goodwill
Goodwill, balance at beginning of period	$ 450.8
Divestitures	(1.0)
Translation adjustments	0.4
Goodwill, balance at end of period	450.2
Operating Segments | Professional
Changes in the net carrying amount of goodwill
Goodwill, balance at beginning of period	440.5
Divestitures	(0.5)
Translation adjustments	0.3
Goodwill, balance at end of period	440.3
Operating Segments | Residential
Changes in the net carrying amount of goodwill
Goodwill, balance at beginning of period	10.3
Divestitures	(0.5)
Translation adjustments	0.1
Goodwill, balance at end of period	9.9
Other
Changes in the net carrying amount of goodwill
Goodwill, balance at beginning of period	0.0
Divestitures	0.0
Translation adjustments	0.0
Goodwill, balance at end of period	$ 0.0