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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 29, 2022
Jan. 30, 2021
Feb. 01, 2020
Change in Contract with Customer, Liability [Roll Forward]      
ESP deferred revenue, beginning of period $ 1,072.0    
Plans sold 100.5 $ 73.1 $ 30.8
ESP deferred revenue, end of period 1,198.9 1,072.0  
ESP deferred revenue      
Change in Contract with Customer, Liability [Roll Forward]      
ESP deferred revenue, beginning of period 1,028.9 960.0  
Plans sold 528.9 337.4  
Revenue recognized (441.3) (268.5)  
ESP deferred revenue, end of period 1,116.5 1,028.9 $ 960.0
Extended Service Plan and Voucher Promotions      
Change in Contract with Customer, Liability [Roll Forward]      
Revenue recognized $ (244.1) $ (163.5)