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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($)
$ in Millions
Feb. 02, 2019
Feb. 03, 2018
Jan. 28, 2017
Deferred Revenue Warranty [Roll Forward]      
ESP deferred revenue $ 927.6 $ 916.1 $ 905.6
Voucher promotions and other 38.9 41.4  
Total deferred revenue 966.5 957.5  
Current liabilities 270.0 288.6  
Non-current liabilities $ 696.5 $ 668.9