Organization and summary of significant accounting policies - Cash and Equivalents (Details) - USD ($) $ in Millions	Jan. 28, 2023	Jan. 29, 2022
Cash and Cash Equivalents [Line Items]
Cash and cash equivalents	$ 1,166.8	$ 1,418.3
Cash and cash equivalents held in money markets and other accounts
Cash and Cash Equivalents [Line Items]
Cash and cash equivalents	1,115.2	1,362.4
Cash equivalents from third-party credit card issuers
Cash and Cash Equivalents [Line Items]
Cash and cash equivalents	50.2	54.4
Cash on hand
Cash and Cash Equivalents [Line Items]
Cash and cash equivalents	$ 1.4	$ 1.5