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Revenue recognition - ESP and Voucher Promotions (Details) - USD ($)
$ in Millions
Jul. 29, 2023
Apr. 29, 2023
Jan. 28, 2023
Jul. 30, 2022
Apr. 30, 2022
Jan. 29, 2022
Disaggregation of Revenue [Line Items]            
Total deferred revenue $ 1,227.3   $ 1,249.6 $ 1,200.8    
Current liabilities 358.3   369.5 326.9    
Non-current liabilities 869.0   880.1 873.9    
ESP deferred revenue            
Disaggregation of Revenue [Line Items]            
Total deferred revenue 1,138.9 $ 1,149.4 1,159.5 1,131.5 $ 1,125.9 $ 1,116.5
Other deferred revenue            
Disaggregation of Revenue [Line Items]            
Total deferred revenue $ 88.4   $ 90.1 $ 69.3