Accrued expenses and other current liabilities - Components of Warranty Reserve (Details) - USD ($) $ in Millions	Jan. 29, 2022	Jan. 30, 2021	Feb. 01, 2020	Feb. 02, 2019
Payables and Accruals [Abstract]
Current liabilities	$ 10.2	$ 10.7
Other liabilities - non-current (see Note 26)	25.8	26.6
Included within accrued expenses above	$ 36.0	$ 37.3	$ 36.3	$ 33.2

Carrying value as of the balance sheet date of obligations incurred through that date and payable for estimated claims under standard and extended warranty protection rights granted to customers. For classified balance sheets, represents the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 50
-Paragraph 7
-URI http://asc.fasb.org/extlink&oid=123368208&loc=d3e12524-110249

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02.20)
-URI http://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 460
-SubTopic 10
-Section 25
-Paragraph 5
-URI http://asc.fasb.org/extlink&oid=123377177&loc=d3e11281-110244

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant