Goodwill and Other Intangible Assets - Schedule of Changes in Net Carrying Amount of Goodwill (Details) - USD ($)	3 Months Ended	12 Months Ended
	Oct. 31, 2024	Oct. 31, 2024	Oct. 31, 2023
Changes in the net carrying amount of goodwill
Balance at beginning of period		$ 450,800,000	$ 583,300,000
Non-cash impairment charge	$ 0		(133,300,000)
Goodwill divested		(1,000,000.0)
Translation adjustments		500,000	800,000
Balance at end of period	450,300,000	450,300,000	450,800,000
Operating Segments | Professional
Changes in the net carrying amount of goodwill
Balance at beginning of period		440,500,000	573,000,000.0
Non-cash impairment charge			(133,300,000)
Goodwill divested		(500,000)
Translation adjustments		400,000	800,000
Balance at end of period	440,400,000	440,400,000	440,500,000
Operating Segments | Residential
Changes in the net carrying amount of goodwill
Balance at beginning of period		10,300,000	10,300,000
Non-cash impairment charge			0
Goodwill divested		(500,000)
Translation adjustments		100,000	0
Balance at end of period	9,900,000	9,900,000	10,300,000
Other Activities
Changes in the net carrying amount of goodwill
Balance at beginning of period		0	0
Non-cash impairment charge			0
Goodwill divested		0
Translation adjustments		0	0
Balance at end of period	$ 0	$ 0	$ 0