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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($)
$ in Millions
Nov. 02, 2019
Feb. 02, 2019
Nov. 03, 2018
Disaggregation of Revenue [Line Items]      
Total deferred revenue $ 960.5 $ 966.5 $ 924.8
Current liabilities 267.3 270.0 253.1
Non-current liabilities 693.2 696.5 671.7
ESP deferred revenue      
Disaggregation of Revenue [Line Items]      
Total deferred revenue 919.5 927.6 892.8
Voucher promotions and other      
Disaggregation of Revenue [Line Items]      
Total deferred revenue $ 41.0 $ 38.9 $ 32.0