Revenue recognition - ESP and Voucher Promotions (Details) - USD ($) $ in Millions	Apr. 29, 2023	Jan. 28, 2023	Apr. 30, 2022	Jan. 29, 2022
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 1,243.6	$ 1,249.6	$ 1,204.0
Current liabilities	368.7	369.5	336.9
Non-current liabilities	874.9	880.1	867.1
ESP deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	1,149.4	1,159.5	1,125.9	$ 1,116.5
Other deferred revenue
Disaggregation of Revenue [Line Items]
Total deferred revenue	$ 94.2	$ 90.1	$ 78.1

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

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 45
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130532-203044

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 45
-Paragraph 1
-URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 606
-SubTopic 10
-Section 50
-Paragraph 8
-Subparagraph (a)
-URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130549-203045

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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant