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Equity-Based Compensation - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Jul. 30, 2022
Jul. 31, 2021
Jul. 30, 2022
Jul. 31, 2021
Share-Based Payment Arrangement [Abstract]        
Equity based compensation expense $ 1.0 $ 0.7 $ 1.7 $ 1.1