Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	Jan. 30, 2021	Feb. 01, 2020
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 1,072.0	$ 997.7
Current liabilities	288.7	266.2
Non-current liabilities	783.3	731.5
ESP deferred revenue
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	1,028.9	960.0
Voucher promotions and other
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 43.1	$ 37.7