Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	Feb. 01, 2020	Feb. 02, 2019
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 997.7	$ 966.5
Current liabilities	266.2	270.0
Non-current liabilities	731.5	696.5
ESP deferred revenue
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	960.0	927.6
Voucher promotions and other
Deferred Revenue Warranty [Roll Forward]
Total deferred revenue	$ 37.7	$ 38.9