Income Taxes (Details) - USD ($) $ in Millions	1 Months Ended	3 Months Ended	9 Months Ended
	Jan. 31, 2022	Oct. 30, 2021	Oct. 30, 2021	Oct. 31, 2020	Jan. 30, 2021
Income Tax Contingency [Line Items]
Effective income tax rate (as a percent)			28.70%	(8.80%)
Increase (decrease) in income taxes		$ 3.0
Income taxes paid for intellectual property transfer			$ 80.4
Aggregate accruals for uncertain tax positions, penalties and interest		62.2	62.2		$ 40.0
Transition tax liability		19.9	19.9		$ 19.9
Accrued income taxes for intellectual property transfer		20.6	20.6
Undistributed earnings of foreign subsidiaries subject to repatriation		7.0	$ 7.0
U.S.
Income Tax Contingency [Line Items]
Income tax expense (benefit), intra-company transfer of assets		105.0
Switzerland
Income Tax Contingency [Line Items]
Tax settlement, foreign, amount		$ (102.0)
Switzerland | Maximum
Income Tax Contingency [Line Items]
Deferred income tax benefit, amortization period			10 years
Switzerland | Minimum
Income Tax Contingency [Line Items]
Deferred income tax benefit, amortization period			5 years
Forecast
Income Tax Contingency [Line Items]
Income taxes paid for intellectual property transfer	$ 27.0