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Equity-Based Compensation - Additional Information (Detail) $ / shares in Units, $ in Millions	3 Months Ended
	May 04, 2024 USD ($) Trading $ / shares shares	Apr. 29, 2023 USD ($)	Jun. 01, 2024 shares	Feb. 03, 2024 $ / shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Common stock, par value \| $ / shares	$ 0.01			$ 0.01
Selling General and Administrative Expenses [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Equity based compensation expense	$ 1.3	$ 0.9
Restricted Stock Units [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Restricted stock units installment terms	vest in one to three equal annual installments, beginning one year from the date of grant.	vest in one to three equal annual installments, beginning one year from the date of grant.
Total unrecognized compensation expense	$ 9.6
Total unrecognized compensation expense to be recognized, weighted average service period	2 years 3 months 18 days
Total fair value of restricted stock vested	$ 2.5	$ 2.6
Performance Stock Units [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Total unrecognized compensation expense	$ 5.4
Total unrecognized compensation expense to be recognized, weighted average service period	2 years 4 months 24 days
Number of trading days \| Trading	30
Performance period	3 years
Performance Stock Units [Member] \| Minimum [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period percentage	0.00%
Performance Stock Units [Member] \| Maximum [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period percentage	200.00%
Omnibus Equity Incentive Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Shares available for grant \| shares	846,607
Omnibus Equity Incentive Plan \| Maximum [Member]
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Common stock reserved for issuance \| shares			2,043,453