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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($)
$ in Millions
Feb. 03, 2024
Jan. 28, 2023
Jan. 29, 2022
Jan. 30, 2021
Deferred Revenue Warranty [Roll Forward]        
Total deferred revenue $ 1,244.7 $ 1,249.6    
Current liabilities 362.9 369.5    
Non-current liabilities 881.8 880.1    
ESP deferred revenue        
Deferred Revenue Warranty [Roll Forward]        
Total deferred revenue 1,158.7 1,159.5 $ 1,116.5 $ 1,028.9
Other deferred revenue        
Deferred Revenue Warranty [Roll Forward]        
Total deferred revenue $ 86.0 $ 90.1