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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($)
$ in Millions
May 04, 2019
Feb. 02, 2019
May 05, 2018
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]      
Total deferred revenue $ 976.6 $ 966.5 $ 952.4
Deferred revenue 277.0 270.0 284.9
Non-current liabilities 699.6 696.5 667.5
ESP deferred revenue      
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]      
Total deferred revenue 931.3 927.6 913.5
Voucher promotions and other      
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]      
Total deferred revenue $ 45.3 $ 38.9 $ 38.9