Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions	3 Months Ended
	May 04, 2024	Apr. 29, 2023
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	$ 1,244.7
Plans sold	(4.7)	$ (7.8)
ESP deferred revenue, end of period	1,239.5	1,243.6
ESP deferred revenue
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	1,158.7	1,159.5
Plans sold	121.9	113.4
Revenue recognized	(126.9)	(123.5)
ESP deferred revenue, end of period	1,153.7	1,149.4
Extended Service Plan and other deferred revenue
Change in Contract with Customer, Liability [Roll Forward]
Revenue recognized	$ (85.2)	$ (86.7)