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Stockholders' Equity and Share-Based Compensation - Schedule of Compensation Cost for Share-based Payment Arrangements, Allocation of Share-based Compensation Costs by Plan (Detail) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 30, 2023
Jul. 31, 2022
Jul. 30, 2023
Jul. 31, 2022
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Share-based compensation     $ 11.9 $ 8.3
General and administrative expenses        
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]        
Share-based compensation $ 5.2 $ 4.7 $ 11.9 $ 8.3