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Acquisitions - Additional Information (Detail) - USD ($) |  |  | 12 Months Ended |  |
--- | --- | --- | --- | --- | ---
Dec. 29, 2021 | May 03, 2021 | Jan. 28, 2023 | Jan. 29, 2022 | [1] | Jan. 30, 2021 | [1]
Business Acquisition [Line Items] |  |  |  |  |
Goodwill |  |  | $ 264,945,000 | $ 271,416,000 | $ 13,267,000
Quiet Logistics |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Acquisition date | Dec. 29, 2021 |  |  |  |
Aggregate purchase price in cash | $ 360,600,000 |  |  |  |
Acquired intangible assets | $ 51,500,000 |  | 51,500,000 |  |
Weighted average cost of capital | 14.50% |  |  |  |
Goodwill | $ 248,800,000 |  | 248,798,000 |  |
Increase decrease in deferred tax asset |  |  | 6,300,000 |  |
Goodwill deductible for income tax purposes |  |  | $ 0 |  |
Quiet Logistics | American Eagle |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill | 101,600,000 |  |  |  |
Quiet Logistics | Aerie |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill | 110,600,000 |  |  |  |
Quiet Logistics | Supply Chain Platform |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Goodwill | 36,600,000 |  |  |  |
Quiet Logistics | Customer Relationships |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Acquired intangible assets | $ 39,000,000.0 |  |  |  |
Definite-lived intangibles, useful life | 10 years |  |  |  |
Quiet Logistics | Trade Names |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Acquired intangible assets | $ 12,500,000 |  |  |  |
Definite-lived intangibles, useful life | 15 years |  |  |  |
AirTerra |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |
Acquisition date |  | May 03, 2021 |  |  |
Aggregate purchase price paid |  | $ 3,000,000.0 |  |  |
[1] | Beginning balances for both periods include accumulated impairment of $4.2 million.

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