Segment Data - Summarized Financial Information (Details) - USD ($) $ in Millions	3 Months Ended	12 Months Ended
	Aug. 04, 2023	Oct. 31, 2023	Oct. 31, 2022	Oct. 31, 2021
Segment Reporting Information [Line Items]
Net sales		$ 4,553.2	$ 4,514.7	$ 3,959.6
Earnings (loss) before income taxes1		400.5	552.5	499.8
Total assets		3,644.3	3,556.0	2,936.1
Capital expenditures		149.5	143.5	104.0
Depreciation and amortization		119.2	108.8	99.3
Non-cash impairment charges	$ 151.3	151.3	0.0	0.0
Operating Segments | Professional
Segment Reporting Information [Line Items]
Net sales		3,674.6	3,429.6	2,929.6
Earnings (loss) before income taxes1		509.1	584.0	507.3
Total assets		2,679.6	2,702.8	2,032.4
Capital expenditures		79.9	94.3	79.5
Depreciation and amortization		89.3	82.7	73.7
Operating Segments | Residential
Segment Reporting Information [Line Items]
Net sales		854.2	1,068.6	1,010.1
Earnings (loss) before income taxes1		68.9	112.7	121.5
Total assets		565.1	501.6	388.2
Capital expenditures		45.6	31.0	16.7
Depreciation and amortization		14.9	13.0	13.5
Other Activities
Segment Reporting Information [Line Items]
Net sales		24.4	16.5	19.9
Earnings (loss) before income taxes1		(177.5)	(144.2)	(129.0)
Total assets		399.6	351.6	515.5
Capital expenditures		24.0	18.2	7.8
Depreciation and amortization		15.0	13.1	12.1
Intersegment gross sales (eliminations)
Segment Reporting Information [Line Items]
Net sales		(46.0)	(33.6)	(30.5)
Intersegment gross sales (eliminations) | Professional
Segment Reporting Information [Line Items]
Net sales		45.8	33.5	30.5
Intersegment gross sales (eliminations) | Residential
Segment Reporting Information [Line Items]
Net sales		$ 0.2	$ 0.1	$ 0.0