Goodwill and Other Intangible Assets - Changes in Net Carrying Amount of Goodwill (Details) - USD ($)	3 Months Ended	12 Months Ended
	Oct. 31, 2023	Oct. 31, 2023	Oct. 31, 2022	Oct. 31, 2021
Changes in the net carrying amount of goodwill
Goodwill as of the beginning of the fiscal period		$ 583,300,000	$ 421,700,000
Goodwill acquired			163,700,000
Non-cash impairment charge	$ 0	(133,300,000)	0	$ 0
Translation adjustments		800,000	(2,100,000)
Goodwill as of the end of the fiscal period	450,800,000	450,800,000	583,300,000	421,700,000
Operating Segments | Professional
Changes in the net carrying amount of goodwill
Goodwill as of the beginning of the fiscal period		573,000,000.0	411,100,000
Goodwill acquired			163,700,000
Non-cash impairment charge		(133,300,000)
Translation adjustments		800,000	(1,800,000)
Goodwill as of the end of the fiscal period	440,500,000	440,500,000	573,000,000.0	411,100,000
Operating Segments | Residential
Changes in the net carrying amount of goodwill
Goodwill as of the beginning of the fiscal period		10,300,000	10,600,000
Goodwill acquired			0
Non-cash impairment charge		0
Translation adjustments		0	(300,000)
Goodwill as of the end of the fiscal period	10,300,000	10,300,000	10,300,000	10,600,000
Other Activities
Changes in the net carrying amount of goodwill
Goodwill as of the beginning of the fiscal period		0	0
Goodwill acquired			0
Non-cash impairment charge		0
Translation adjustments		0	0
Goodwill as of the end of the fiscal period	$ 0	$ 0	$ 0	$ 0