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Revenue recognition - ESP (Details) - USD ($)
$ in Millions
Oct. 28, 2023
Jul. 29, 2023
Jan. 28, 2023
Oct. 29, 2022
Jul. 30, 2022
Jan. 29, 2022
Disaggregation of Revenue [Line Items]            
Total deferred revenue $ 1,202.7   $ 1,249.6 $ 1,213.4    
Current liabilities 346.2   369.5 335.3    
Non-current liabilities 856.5   880.1 878.1    
ESP deferred revenue            
Disaggregation of Revenue [Line Items]            
Total deferred revenue 1,120.2 $ 1,138.9 1,159.5 1,124.9 $ 1,131.5 $ 1,116.5
Other deferred revenue            
Disaggregation of Revenue [Line Items]            
Total deferred revenue $ 82.5   $ 90.1 $ 88.5