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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($)
$ in Millions
May 02, 2020
Feb. 01, 2020
May 04, 2019
Disaggregation of Revenue [Line Items]      
Total deferred revenue $ 991.0 $ 997.7 $ 976.6
Current liabilities 271.2 266.2 277.0
Non-current liabilities 719.8 731.5 699.6
ESP deferred revenue      
Disaggregation of Revenue [Line Items]      
Total deferred revenue 961.0 960.0 931.3
Voucher promotions and other      
Disaggregation of Revenue [Line Items]      
Total deferred revenue $ 30.0 $ 37.7 $ 45.3