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Revenue recognition - ESP Deferred Revenue Rollforward (Details) - USD ($) $ in Millions | 12 Months Ended
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Feb. 03, 2024 | Jan. 28, 2023 | Jan. 29, 2022
Change in Contract with Customer, Liability [Roll Forward] |  |  |
ESP deferred revenue, beginning of period | $ 1,249.6 |  |
Plans sold | (7.0) | $ 27.9 | $ 100.5
ESP deferred revenue, end of period | 1,244.7 | 1,249.6 |
ESP deferred revenue |  |  |
Change in Contract with Customer, Liability [Roll Forward] |  |  |
ESP deferred revenue, beginning of period | 1,159.5 | 1,116.5 | 1,028.9
Plans sold | 504.8 | 522.9 | 528.9
Revenue recognized | (505.6) | (479.9) | (441.3)
ESP deferred revenue, end of period | 1,158.7 | 1,159.5 | 1,116.5
Extended Service Plan and other deferred revenue |  |  |
Change in Contract with Customer, Liability [Roll Forward] |  |  |
Revenue recognized | $ (291.5) | $ (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 -Topic 606 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org//1943274/2147479837/606-10-45-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 606 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 8 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479806/606-10-50-8 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 606 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 2 -Publisher FASB -URI https://asc.fasb.org//1943274/2147479837/606-10-45-2 + 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 -Topic 606 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 8 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479806/606-10-50-8 + 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/2003/role/disclosureRef -Topic 912 -SubTopic 310 -Name Accounting Standards Codification -Section 45 -Paragraph 11 -Subparagraph (b) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482312/912-310-45-11 Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 230 -SubTopic 10 -Name Accounting Standards Codification -Section 45 -Paragraph 28 -Subparagraph (a) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482740/230-10-45-28 + Details
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- Definition A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period. + References No definition available. + Details
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