Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions	12 Months Ended
	Feb. 01, 2025	Feb. 03, 2024	Jan. 28, 2023
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	$ 1,244.7
Plans sold	5.1	$ (7.0)	$ 27.9
ESP deferred revenue, end of period	1,247.6	1,244.7
ESP deferred revenue
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	1,158.7	1,159.5	1,116.5
Plans sold	534.6	504.8	522.9
Revenue recognized	(522.5)	(505.6)	(479.9)
ESP deferred revenue, end of period	1,170.8	1,158.7	1,159.5
Extended Service Plan and other deferred revenue
Change in Contract with Customer, Liability [Roll Forward]
Revenue recognized	$ (289.9)	$ (291.5)	$ (269.3)