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Organization and summary of significant accounting policies - Cash and Equivalents (Details) - USD ($)
$ in Millions
Feb. 03, 2024
Jan. 28, 2023
Cash and Cash Equivalents [Line Items]    
Cash and Cash Equivalents, at Carrying Value $ 1,378.7 $ 1,166.8
Cash and cash equivalents held in money markets and other accounts    
Cash and Cash Equivalents [Line Items]    
Cash and Cash Equivalents, at Carrying Value 1,314.1 1,116.6
Cash equivalents from third-party credit card issuers    
Cash and Cash Equivalents [Line Items]    
Cash and Cash Equivalents, at Carrying Value $ 64.6 $ 50.2