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Share-based compensation - Schedule of Share-Based Compensation Expense and Associated Tax Benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 28, 2023
Jan. 29, 2022
Jan. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Income tax benefit $ (5.2) $ (5.9) $ (3.6)
Selling, General and Administrative Expenses      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation expense $ 42.0 $ 45.8 $ 14.5