Information on Segments - Schedule of Inventory Impairment by Segment (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Apr. 30, 2025	Apr. 30, 2024	Apr. 30, 2025	Apr. 30, 2024
Segment Reporting Information [Line Items]
Inventory write-down	$ 9,799	$ 28,428	$ 26,216	$ 29,899
Operating Segments | Traditional Homebuilding
Segment Reporting Information [Line Items]
Inventory write-down	9,799	28,428	26,216	29,899
North | Traditional Homebuilding
Segment Reporting Information [Line Items]
Inventory write-down	580	38	785	533
Mid-Atlantic | Traditional Homebuilding
Segment Reporting Information [Line Items]
Inventory write-down	298	2,703	4,065	2,895
South | Traditional Homebuilding
Segment Reporting Information [Line Items]
Inventory write-down	620	647	4,979	727
Mountain | Traditional Homebuilding
Segment Reporting Information [Line Items]
Inventory write-down	7,301	25,000	14,795	25,674
Pacific | Traditional Homebuilding
Segment Reporting Information [Line Items]
Inventory write-down	$ 1,000	$ 40	$ 1,592	$ 70