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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 28, 2023	Jan. 29, 2022	Jan. 30, 2021
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	$ 1,198.9
Plans sold	27.9	$ 100.5	$ 73.1
ESP deferred revenue, end of period	1,249.6	1,198.9
ESP deferred revenue
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	1,116.5	1,028.9
Plans sold	522.9	528.9
Revenue recognized	(479.9)	(441.3)
ESP deferred revenue, end of period	1,159.5	1,116.5	$ 1,028.9
Extended Service Plan and Voucher Promotions
Change in Contract with Customer, Liability [Roll Forward]
Revenue recognized	$ (269.3)	$ (244.1)

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Change in Contract with Customer, Liability [Roll Forward]

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Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 45
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-URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
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-Section 50
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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
-Paragraph 8
-Subparagraph (b)
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+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (a)
-URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3602-108585

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