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Taxes on Earnings (Details) - USD ($)
$ in Millions
2 Months Ended 3 Months Ended
Jan. 02, 2019
May 04, 2019
Feb. 02, 2019
May 05, 2018
Income Tax Contingency [Line Items]        
Unrecognized tax benefits   $ 83.5 $ 78.8 $ 125.6
Income tax penalties and interest accrued   13.7 $ 13.0 $ 24.0
Amount recognized by Company related to decrease in reserves for tax positions in prior period $ 52.4      
Amount recognized by Company related to decrease in reserves for tax positions in prior period, portion attributable to related reserves for interest and penalties $ 12.6      
Impact of recognizing taxes and interest related to unrecognized tax benefits   66.7    
Unrecognized tax benefits reduction resulting from lapse of applicable statute of limitations (up to)   $ 9.3    
Maximum | Internal Revenue Service        
Income Tax Contingency [Line Items]        
Open tax year   2018    
Maximum | State        
Income Tax Contingency [Line Items]        
Open tax year   2018    
Minimum | Internal Revenue Service        
Income Tax Contingency [Line Items]        
Open tax year   2015    
Minimum | State        
Income Tax Contingency [Line Items]        
Open tax year   2014