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Share-based compensation - Share-based Compensation Expense (Details) - USD ($)
$ in Millions
12 Months Ended
Feb. 01, 2020
Feb. 02, 2019
Feb. 03, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Income tax benefit $ (4.2) $ (4.1) $ (5.3)
Selling, general and administrative expenses      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation $ 16.9 $ 16.5 $ 16.1