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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($)
$ in Millions
Aug. 03, 2019
Feb. 02, 2019
Aug. 04, 2018
Disaggregation of Revenue [Line Items]      
Total deferred revenue $ 965.2 $ 966.5 $ 939.6
Deferred revenue 265.4 270.0 276.3
Non-current liabilities 699.8 696.5 663.3
ESP deferred revenue      
Disaggregation of Revenue [Line Items]      
Total deferred revenue 930.2 927.6 906.6
Voucher promotions and other      
Disaggregation of Revenue [Line Items]      
Total deferred revenue $ 35.0 $ 38.9 $ 33.0