Organization and summary of significant accounting policies - Narrative (Details) $ in Millions	3 Months Ended	12 Months Ended
	Feb. 01, 2025 USD ($)	Feb. 01, 2025 USD ($) segement	Feb. 03, 2024 USD ($)	Jan. 28, 2023 USD ($)
Organization and critical accounting policies [Abstract]
Number of Reportable Segments | segement		3
Selling, General and Administrative Expense [Abstract]
Labor and related expense		$ 1,387.5	$ 1,428.0	$ 1,430.3
Advertising and promotional costs [Abstract]
Advertising expense		560.1	522.8	555.6
Property, Plant and Equipment [Abstract]
Hosting Arrangement, Service Contract, Implementation Cost, Expense, Amortization		66.3	48.2	$ 32.5
Capitalized computer software	$ 157.5	$ 157.5	$ 170.7
Minimum
Organization and critical accounting policies [Abstract]
Seasonal revenues, fourth quarter sales, percent	35.00%
Minimum | Software
Property, Plant and Equipment [Abstract]
Useful life	3 years	3 years
Minimum | Cloud Computing Arrangements
Property, Plant and Equipment [Abstract]
Useful life	2 years	2 years
Maximum
Organization and critical accounting policies [Abstract]
Seasonal revenues, fourth quarter sales, percent	40.00%
Maximum | Software
Property, Plant and Equipment [Abstract]
Useful life	7 years	7 years
Maximum | Cloud Computing Arrangements
Property, Plant and Equipment [Abstract]
Useful life	4 years	4 years