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Organization and summary of significant accounting policies - Narrative (Details) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Jan. 28, 2023 USD ($) | Jan. 28, 2023 USD ($) segment | Jan. 29, 2022 USD ($) | Jan. 30, 2021 USD ($)
Organization and critical accounting policies [Abstract] |  |  |  |
Number of reportable segments | segment |  | 3 |  |
Selling, General and Administrative Expense [Abstract] |  |  |  |
Labor and related expense |  | $ 1,430.3 | $ 1,447.7 | $ 996.1
Advertising and promotional costs [Abstract] |  |  |  |
Advertising expense |  | 555.6 | 527.0 | $ 343.0
Property, Plant and Equipment [Abstract] |  |  |  |
Capitalized computer software | $ 127.8 | $ 127.8 | $ 80.7 |
Minimum |  |  |  |
Organization and critical accounting policies [Abstract] |  |  |  |
Seasonal revenues, fourth quarter sales, percent | 35.00% |  |  |
Minimum | Equipment, including software |  |  |  |
Property, Plant and Equipment [Abstract] |  |  |  |
Useful life |  | 3 years |  |
Minimum | Cloud Computing Arrangements |  |  |  |
Property, Plant and Equipment [Abstract] |  |  |  |
Useful life |  | 2 years |  |
Maximum |  |  |  |
Organization and critical accounting policies [Abstract] |  |  |  |
Seasonal revenues, fourth quarter sales, percent | 40.00% |  |  |
Maximum | Equipment, including software |  |  |  |
Property, Plant and Equipment [Abstract] |  |  |  |
Useful life |  | 7 years |  |
Maximum | Cloud Computing Arrangements |  |  |  |
Property, Plant and Equipment [Abstract] |  |  |  |
Useful life |  | 4 years |  |

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- Definition Amount charged to advertising expense for the period, which are expenses incurred with the objective of increasing revenue for a specified brand, product or product line. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 720 -SubTopic 35 -Section 50 -Paragraph 1 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=6420018&loc=d3e36677-107848 + Details
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- Definition Amount, after accumulated amortization, of capitalized implementation cost from hosting arrangement that is service contract. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 360 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=6391035&loc=d3e2868-110229 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -SubTopic 40 -Section 50 -Paragraph 3 -URI https://asc.fasb.org/extlink&oid=118198657&loc=SL118198666-228104 + Details
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