Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 1,198.9	$ 1,072.0
Current liabilities	341.3	288.7
Non-current liabilities	857.6	783.3
ESP deferred revenue
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	1,116.5	1,028.9	$ 960.0
Other deferred revenue
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 82.4	$ 43.1