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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Aug. 03, 2019	Aug. 04, 2018	Aug. 03, 2019	Aug. 04, 2018
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period			$ 966.5
ESP deferred revenue, end of period	$ 965.2	$ 939.6	965.2	$ 939.6
Extended Service Plan
Change in Contract with Customer, Liability [Roll Forward]
ESP deferred revenue, beginning of period	931.3	913.5	927.6	916.1
Plans sold	90.5	90.9	186.5	186.9
Revenue recognized	(91.6)	(97.8)	(183.9)	(196.4)
ESP deferred revenue, end of period	$ 930.2	$ 906.6	$ 930.2	$ 906.6

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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://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 45
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=82913815&loc=SL49130531-203044

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-URI http://asc.fasb.org/extlink&oid=82913815&loc=SL49130532-203044

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-Publisher FASB
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-Topic 606
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Amount of revenue recognized that was previously included in balance of obligation to transfer good or service to customer for which consideration from customer has been received or is due.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
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