Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 1,249.6	$ 1,198.9
Current liabilities	369.5	341.3
Non-current liabilities	880.1	857.6
ESP deferred revenue
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	1,159.5	1,116.5	$ 1,028.9
Other deferred revenue
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 90.1	$ 82.4