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Equity-Based Compensation - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Aug. 01, 2021
Aug. 02, 2020
Aug. 01, 2021
Aug. 02, 2020
Jul. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share based compensation expense $ 18.5 $ 1.0 $ 19.5 $ 2.0  
Unrecognized share based compensation $ 14.1   $ 14.1    
Omnibus Incentive Plan | Class A common stock          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Shares reserved and available for future issuance         12,600,000
Omnibus Incentive Plan | Class A common stock | Stock appreciation rights          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Shares reserved and available for future issuance         633,683