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Goodwill and intangibles - Composition of Finite-Lived Intangibles (Details) - USD ($) $ in Millions	Oct. 28, 2023	Jan. 28, 2023	Oct. 29, 2022	Aug. 19, 2022
Intangible assets, net:
Gross carrying amount	$ 15.8	$ 15.8	$ 15.8
Accumulated amortization	(9.0)	(7.6)	(7.1)
Net carrying amount	6.8	8.2	8.7
Indefinite-lived intangible assets	398.8	399.2	404.8
Intangible assets, gross	414.6	415.0	420.6
Total intangible assets, net	405.6	407.4	413.5
Intangible liabilities, net
Gross carrying amount	(38.0)	(38.0)	(38.0)
Accumulated amortization	34.0	32.6	32.2
Total	$ (4.0)	$ (5.4)	$ (5.8)
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

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