Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Jul. 29, 2023	Jul. 30, 2022	Jul. 29, 2023	Jul. 30, 2022
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period			$ 1,249.6
Plans sold			(24.8)	$ 2.3
ESP deferred revenue, end of period	$ 1,227.3	$ 1,200.8	1,227.3	1,200.8
ESP deferred revenue
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	1,149.4	1,125.9	1,159.5	1,116.5
Plans sold	109.7	120.3	223.1	244.1
Revenue recognized	(120.2)	(114.7)	(243.7)	(229.1)
ESP deferred revenue, end of period	1,138.9	1,131.5	1,138.9	1,131.5
Extended Service Plan and Voucher Promotions
Change in Contract with Customer, Liability [Roll Forward]
Revenue recognized	$ (75.8)	$ (68.6)	$ (162.5)	$ (147.8)