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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions | 12 Months Ended
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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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- Definition 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 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=126919976&loc=SL49130531-203044 Reference 2: 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 Reference 3: 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 + Details
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- Definition 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. + References 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 + Details
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- Definition Amount of increase (decrease) in obligation to transfer good or service to customer for which consideration has been received or is receivable. + 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 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 912 -SubTopic 310 -Section 45 -Paragraph 11 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126938201&loc=d3e55415-109406 + Details
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