Revenue Recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	Apr. 30, 2022	Jan. 29, 2022	May 01, 2021	Jan. 30, 2021
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 1,204.0	$ 1,198.9	$ 1,107.7
Current liabilities	336.9	341.3	310.0
Non-current liabilities	867.1	857.6	797.7
ESP deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	1,125.9	1,116.5	1,049.4	$ 1,028.9
Other deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 78.1	$ 82.4	$ 58.3