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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 29, 2023	Apr. 30, 2022
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	$ 1,249.6
Plans sold	(7.8)	$ 5.4
ESP deferred revenue, end of period	1,243.6	1,204.0
ESP deferred revenue
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	1,159.5	1,116.5
Plans sold	113.4	123.8
Revenue recognized	(123.5)	(114.4)
ESP deferred revenue, end of period	1,149.4	1,125.9
Extended Service Plan and Voucher Promotions
Change in Contract with Customer, Liability [Roll Forward]
Revenue recognized	$ (86.7)	$ (79.2)

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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.

+ References

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)
-URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045

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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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-Publisher FASB
-Name Accounting Standards Codification
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