Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	May 01, 2021	Jan. 30, 2021	May 02, 2020	Feb. 01, 2020
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 1,107.7	$ 1,072.0	$ 991.0
Current liabilities	310.0	288.7	271.2
Non-current liabilities	797.7	783.3	719.8
ESP deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	1,049.4	1,028.9	961.0	$ 960.0
Customer and eCommerce Orders
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 58.3	$ 43.1	$ 30.0