Revenue recognition - Narrative (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
Jul. 31, 2021	Aug. 01, 2020	Jul. 31, 2021	Aug. 01, 2020
Extended Service Plans and Lifetime Warranty Agreements
Disaggregation of Revenue [Line Items]
Capitalized contract cost, amortization	$ 7.1	$ 3.3	$ 17.0	$ 7.6

Amount of amortization expense for asset recognized from cost incurred to obtain or fulfill contract with customer.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 340
-SubTopic 40
-Section 50
-Paragraph 3
-Subparagraph (b)
-URI http://asc.fasb.org/extlink&oid=123353750&loc=SL49131252-203054

Name:	us-gaap_CapitalizedContractCostAmortization
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration