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Income Tax (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Oct. 29, 2022
Oct. 30, 2021
Oct. 29, 2022
Oct. 30, 2021
Income Tax Contingency [Line Items]        
Income tax expense (benefit) $ 52.0 $ (5.0) $ 256.4 $ (58.4)
Federal statutory income tax rate, percent     21.00%  
Income tax expense related to clawback taxes on prior earnings 22.4      
Deferred tax assets 213.6   $ 213.6  
Decrease in uncertain tax positions 7.4   7.4  
Cash, cash equivalents and short-term investments 723.4   723.4  
Deferred tax liability, undistributed earnings of foreign subsidiaries 430.6   430.6  
Foreign Subsidiaries        
Income Tax Contingency [Line Items]        
Cash, cash equivalents and short-term investments $ 500.8   $ 500.8  
Singapore Economic Development Board        
Income Tax Contingency [Line Items]        
Income tax holiday, expiration term 5 years   5 years