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Taxes on Earnings (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended 12 Months Ended
Aug. 04, 2018
Jul. 29, 2017
Aug. 04, 2018
Jul. 29, 2017
Feb. 03, 2018
Income Tax Contingency [Line Items]          
Effective income tax rate 25.00% 38.00% 24.00% 37.00%  
Provisional tax benefit         $ 80.1
Unrecognized tax benefits $ 130.8 $ 108.1 $ 130.8 $ 108.1 121.3
Income tax penalties and interest accrued 25.4 $ 20.1 25.4 $ 20.1 $ 22.6
Impact of recognizing taxes and interest related to unrecognized tax benefits 88.4   88.4    
Unrecognized tax benefits reduction resulting from lapse of applicable statute of limitations (up to) $ 8.6   $ 8.6    
Maximum | Internal Revenue Service          
Income Tax Contingency [Line Items]          
Open tax year     2017    
Maximum | State          
Income Tax Contingency [Line Items]          
Open tax year     2017    
Minimum | Internal Revenue Service          
Income Tax Contingency [Line Items]          
Open tax year     2013    
Minimum | State          
Income Tax Contingency [Line Items]          
Open tax year     2013