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Income Tax (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
May 02, 2020
May 04, 2019
Income Taxes [Line Items]    
Current income tax expense (benefit) $ 5.0 $ 7.3
Unrecognized tax benefits decrease 4.6 3.2
Income tax expense, other discrete items 1.8  
Tax due on amounts previously considered permanently reinvested   9.9
Uncertain tax positions, decrease from the lapse of statutes of limitation in various jurisdictions during next 12 months 15.1  
Tax incentives, decrease in foreign taxes   $ 0.1
Tax incentives, effect on net income per share (less than) (in usd per share)   $ 0.01
Cash, cash equivalents and short-term investments 667.5  
Undistributed earnings of foreign subsidiaries 122.0  
Foreign Subsidiaries    
Income Taxes [Line Items]    
Cash, cash equivalents and short-term investments $ 484.0