Income Taxes (Details) - USD ($) $ in Millions	3 Months Ended
	Apr. 30, 2022	May 01, 2021	Jan. 29, 2022
Income Tax Disclosure [Abstract]
Effective income tax rate expense (as a percent)	39.90%	29.80%
Accrual for uncertain tax positions including penalties and interest	$ 59.2		$ 57.5
Accrual for estimated transition tax	19.9		19.9
Accrual for transfer of intellectual property rights	20.6		$ 20.6
Undistributed earnings of foreign subsidiaries subject to repatriation	$ 12.7