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Acquisitions and divestitures - Narrative (Details) |  |  |  |  | 3 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | --- | ---
Jul. 11, 2023 USD ($) | Aug. 19, 2022 USD ($) | Nov. 17, 2021 USD ($) | Mar. 29, 2021 USD ($) | Feb. 03, 2024 USD ($) | Apr. 30, 2022 USD ($) | Feb. 03, 2024 USD ($) | Jan. 28, 2023 USD ($) | Jan. 29, 2022 USD ($) | Oct. 28, 2023 location
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  |  |  |  |  |  | $ 6,000,000.0 | $ 391,800,000 | $ 515,800,000 |
Proceeds from Divestiture of Businesses, Net of Cash Divested |  |  |  |  |  |  | 53,800,000 | 0 | 0 |
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal |  |  |  |  |  |  | $ 12,300,000 | 0 | 0 |
UK Prestige Watch Business |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Number of Stores | location |  |  |  |  |  |  |  |  |  | 21
Proceeds from Divestiture of Businesses, Net of Cash Divested |  |  |  |  | $ 53,800,000 |  |  |  |  |
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal |  |  |  |  | $ 12,300,000 |  |  |  |  |
Rocksbox |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  |  |  | $ 14,600,000 |  |  |  |  |  |
Business combination, acquisition-related costs |  |  |  |  |  |  |  |  | 1,400,000 |
Diamonds Direct USA Inc. |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  |  | $ 503,100,000 |  |  |  |  |  |  |
Business combination, acquisition-related costs |  |  |  |  |  |  |  |  | $ 5,000,000 |
Cash acquired from acquisition |  |  | 14,200,000 |  |  |  |  |  |  |
Additional payment |  |  |  |  |  | $ 1,900,000 |  |  |  |
Intangible assets |  |  | 126,000,000.0 |  |  |  |  |  |  |
Goodwill, expected tax deductible amount |  |  | 0 |  |  |  |  |  |  |
Diamonds Direct USA Inc. | Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Intangible assets |  |  | $ 126,000,000 |  |  |  |  |  |  |
Blue Nile |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired |  | $ 389,900,000 |  |  |  |  |  |  |  |
Business combination, acquisition-related costs |  |  |  |  |  |  |  | $ 4,200,000 |  |
Cash acquired from acquisition |  | 16,600,000 |  |  |  |  |  |  |  |
Intangible assets |  | 96,000,000.0 |  |  |  |  |  |  |  |
Goodwill, expected tax deductible amount |  | 0 |  |  |  |  |  |  |  |
Other carryforwards |  | 71,000,000 |  |  |  |  |  |  |  |
Blue Nile | Domestic Tax Authority |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Net operating loss carry forwards |  | 90,000,000 |  |  |  |  |  |  |  |
Blue Nile | Trade names |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Intangible assets |  | $ 96,000,000 |  |  |  |  |  |  |  |
Service Jewelry & Repair, Inc. |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |
Payments to Acquire Businesses, Net of Cash Acquired | $ 6,000,000 |  |  |  |  |  |  |  |  |

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