Segment information - Summary of Activity by Segment (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 31, 2021	Aug. 01, 2020	Jul. 31, 2021	Aug. 01, 2020
Segment Reporting Information [Line Items]
Sales	$ 1,788.1	$ 888.0	$ 3,476.9	$ 1,740.1
Operating income (loss)	225.4	(89.7)	394.1	(389.3)
Interest expense, net	(4.4)	(9.4)	(8.3)	(16.5)
Other non-operating income, net	0.1	0.2	0.2	0.3
Income (loss) before income taxes	221.1	(98.9)	386.0	(405.5)
Restructuring charges	(0.9)	28.9	(1.6)	41.6
Asset impairments	(0.2)	20.3	1.3	156.6
North America
Segment Reporting Information [Line Items]
Sales	1,645.7	823.0	3,263.7	1,604.1
International
Segment Reporting Information [Line Items]
Sales	130.7	61.0	188.1	125.9
Other
Segment Reporting Information [Line Items]
Sales	11.7	4.0	25.1	10.1
Reportable segments | North America
Segment Reporting Information [Line Items]
Sales	1,645.7	823.0	3,263.7	1,604.1
Operating income (loss)	237.3	(57.0)	449.3	(291.2)
Acquisition and integration related costs	0.0		1.1
Gain on sale of financing receivable	1.4		1.4
Restructuring charges	(0.3)	27.7	(1.0)	36.6
Asset impairments	(0.2)	17.5	1.3	135.4
Inventory write-down		0.2		0.6
Reportable segments | International
Segment Reporting Information [Line Items]
Sales	130.7	61.0	188.1	125.9
Operating income (loss)	15.5	(15.6)	(4.2)	(54.2)
Asset impairments		2.8		21.2
Severance costs		1.0		4.6
Reportable segments | Other
Segment Reporting Information [Line Items]
Sales	11.7	4.0	25.1	10.1
Operating income (loss)	(0.1)	(0.2)	(1.0)	(0.5)
Corporate and unallocated expenses
Segment Reporting Information [Line Items]
Operating income (loss)	(27.3)	(16.9)	(50.0)	(43.4)
Restructuring charges	$ (0.6)		$ (0.6)
Severance costs		0.2		0.4
Gain (loss) related to litigation settlement		$ 1.0		$ (7.5)