Organization and summary of significant accounting policies - Narrative (Details) $ in Millions	3 Months Ended	12 Months Ended
	Jan. 29, 2022 USD ($)	Jan. 29, 2022 USD ($) segment	Jan. 30, 2021 USD ($)	Feb. 01, 2020 USD ($)
Organization and critical accounting policies [Abstract]
Number of reportable segments | segment		3
Selling, General and Administrative Expense [Abstract]
Labor and related expense		$ 1,447.7	$ 996.1	$ 1,196.6
Advertising and promotional costs [Abstract]
Advertising expense		527.0	343.0	$ 388.9
Property, Plant and Equipment [Abstract]
Capitalized computer software	$ 80.7	$ 80.7	$ 4.1
Minimum
Organization and critical accounting policies [Abstract]
Percent of annual sales	35.00%
Property, Plant and Equipment [Abstract]
Period over which amortization is charged for capitalized payroll for internal use computer projects		3 years
Maximum
Organization and critical accounting policies [Abstract]
Percent of annual sales	40.00%
Property, Plant and Equipment [Abstract]
Period over which amortization is charged for capitalized payroll for internal use computer projects		7 years