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Income taxes - Schedule of Activity of Unrecognized Tax Benefits (Detail) - USD ($)
$ in Millions
12 Months Ended
Feb. 03, 2024
Jan. 28, 2023
Jan. 29, 2022
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Unrecognized tax benefits, beginning of period $ 85.9 $ 24.9 $ 25.4
Increases related to current year tax positions 1.5 1.6 2.0
Increases from acquisitions 0.0 2.3 0.0
Increases related to prior year tax positions 0.0 59.6 0.4
Settlements with tax authorities (59.6) 0.0  
Lapse of statute of limitations (1.8) (2.4) (2.9)
Foreign currency translation 0.0 (0.1)  
Foreign currency translation     0.0
Unrecognized tax benefits, end of period $ 26.0 $ 85.9 $ 24.9