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Property, plant and equipment, net - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 28, 2023
Jan. 28, 2023
Jan. 29, 2022
Jan. 30, 2021
Property, Plant and Equipment [Abstract]        
Depreciation and amortization expense   $ 162.2 $ 162.4 $ 175.1
Property and equipment impairment $ 0.6 $ 4.3 $ 1.6 $ 28.1