Segment Data - Schedule of Financial Information (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Aug. 04, 2023	Oct. 31, 2024	Oct. 31, 2023	Oct. 31, 2022
Segment Reporting Information [Line Items]
Net sales		$ 4,583.8	$ 4,553.2	$ 4,514.7
Earnings (loss) before income taxes		512.8	400.5	552.5
Total assets		3,582.8	3,644.3	3,556.0
Capital expenditures		103.5	149.5	143.5
Depreciation and amortization		128.2	119.2	108.8
Non-cash impairment charges	$ 151.3	0.0	151.3	0.0
Operating Segments | Professional
Segment Reporting Information [Line Items]
Net sales		3,556.9	3,674.6	3,429.6
Earnings (loss) before income taxes		638.9	509.1	584.0
Total assets		2,673.6	2,679.6	2,702.8
Capital expenditures		60.0	79.9	94.3
Depreciation and amortization		94.6	89.3	82.7
Operating Segments | Residential
Segment Reporting Information [Line Items]
Net sales		998.3	854.2	1,068.6
Earnings (loss) before income taxes		78.4	68.9	112.7
Total assets		521.2	565.1	501.6
Capital expenditures		14.7	45.6	31.0
Depreciation and amortization		18.0	14.9	13.0
Other Activities
Segment Reporting Information [Line Items]
Net sales		28.6	24.4	16.5
Earnings (loss) before income taxes		(204.5)	(177.5)	(144.2)
Total assets		388.0	399.6	351.6
Capital expenditures		28.8	24.0	18.2
Depreciation and amortization		15.6	15.0	13.1
Intersegment gross sales (eliminations)
Segment Reporting Information [Line Items]
Net sales		(49.6)	(46.0)	(33.6)
Intersegment gross sales (eliminations) | Professional
Segment Reporting Information [Line Items]
Net sales		49.2	45.8	33.5
Intersegment gross sales (eliminations) | Residential
Segment Reporting Information [Line Items]
Net sales		$ 0.4	$ 0.2	$ 0.1