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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Nov. 02, 2019
Nov. 03, 2018
Nov. 02, 2019
Nov. 03, 2018
Change in Contract with Customer, Liability [Roll Forward]        
ESP deferred revenue, beginning of period     $ 966.5  
ESP deferred revenue, end of period $ 960.5 $ 924.8 960.5 $ 924.8
Extended Service Plan        
Change in Contract with Customer, Liability [Roll Forward]        
ESP deferred revenue, beginning of period 930.2 906.6 927.6 916.1
Plans sold 78.0 72.3 264.5 259.2
Revenue recognized (88.7) (86.1) (272.6) (282.5)
ESP deferred revenue, end of period $ 919.5 $ 892.8 $ 919.5 $ 892.8