Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	Oct. 30, 2021	Jul. 31, 2021	Jan. 30, 2021	Oct. 31, 2020	Aug. 01, 2020	Feb. 01, 2020
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 1,120.2		$ 1,072.0	$ 1,022.8
Current liabilities	307.0		288.7	258.5
Non-current liabilities	813.2		783.3	764.3
ESP deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	1,066.3	$ 1,063.8	1,028.9	983.2	$ 990.5	$ 960.0
Customer and eCommerce Orders
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 53.9		$ 43.1	$ 39.6