Other operating and non-operating income (expense) - Components of Other Operating Income (Expense) (Details) - USD ($) $ in Millions	3 Months Ended
Apr. 30, 2022	May 01, 2021
Other Income and Expenses [Abstract]
Litigation charges	$ (190.0)	$ 0.0
Interest income from customer in-house finance receivables	0.0	4.0
Other	(0.4)	(1.7)
Other operating income (expense)	$ (190.4)	$ 2.3

Amount of expense classified as other.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 220
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03.4,6)
-URI http://asc.fasb.org/extlink&oid=123367319&loc=SL114868664-224227

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 944
-SubTopic 220
-Section S99
-Paragraph 1
-Subparagraph (SX 210.7-04.7)
-URI http://asc.fasb.org/extlink&oid=120400993&loc=SL114874131-224263

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