Other Income – Net - Narrative (Details) - USD ($)	3 Months Ended		6 Months Ended
	Apr. 30, 2025	Apr. 30, 2024	Apr. 30, 2025	Apr. 30, 2024
Other Nonoperating Income By Component [Line Items]
Impairment charges and write-offs			$ 32,462,000	$ 35,400,000
Income from ancillary businesses, net	$ 9,068,000	$ 4,907,000	8,189,000	5,747,000
Gain related to investment	(758,000)	5,295,000	1,347,000	4,756,000
Privately Held Company
Other Nonoperating Income By Component [Line Items]
Gain related to investment	0	5,000,000.0	0	5,000,000.0
Apartment living
Other Nonoperating Income By Component [Line Items]
Impairment charges and write-offs	0	5,000,000.0	4,400,000	5,000,000.0
Apartment Living, City Living and Gibraltar
Other Nonoperating Income By Component [Line Items]
Income from ancillary businesses, net	6,100,000	9,500,000	13,200,000	17,100,000
Security Monitoring Business
Other Nonoperating Income By Component [Line Items]
Gain (loss) on disposition of other assets	$ 0	$ 4,400,000	$ 0	$ 4,400,000