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Goodwill and intangibles - Composition of Finite-Lived Intangibles (Details) - USD ($) $ in Millions | Jul. 29, 2023 | Jan. 28, 2023 | Aug. 19, 2022 | Jul. 30, 2022
--- | --- | --- | --- | ---
Intangible assets, net: |  |  |  |
Gross carrying amount | $ 15.8 | $ 15.8 |  | $ 15.8
Accumulated  amortization | (8.5) | (7.6) |  | (6.6)
Net carrying amount | 7.3 | 8.2 |  | 9.2
Indefinite-lived intangible assets | 399.2 | 399.2 |  | 303.6
Intangible assets, gross | 415.0 | 415.0 |  | 319.4
Total intangible assets, net | 406.5 | 407.4 |  | 312.8
Intangible liabilities, net |  |  |  |
Gross carrying amount | (38.0) | (38.0) |  | (38.0)
Accumulated amortization | 33.5 | 32.6 |  | 31.7
Total | $ (4.5) | $ (5.4) |  | $ (6.3)
Blue Nile |  |  |  |
Indefinite-lived Intangible Assets [Line Items] |  |  |  |
Intangible assets |  |  | $ 96.0 |
Blue Nile | Trade names |  |  |  |
Indefinite-lived Intangible Assets [Line Items] |  |  |  |
Intangible assets |  |  | 96.0 |
Blue Nile | North America | Trade names |  |  |  |
Indefinite-lived Intangible Assets [Line Items] |  |  |  |
Intangible assets |  |  | $ 96.0 |

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