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Taxes on Earnings (Details) - USD ($)
$ in Millions
9 Months Ended
Oct. 28, 2017
Jan. 28, 2017
Oct. 29, 2016
Income Tax Contingency [Line Items]      
Excess tax benefits related to stock-based compensation $ 16.1    
Unrecognized tax benefits 109.3 $ 98.6 $ 105.5
Income tax penalties and interest accrued 20.8 $ 17.5 $ 21.5
Impact of recognizing taxes and interest related to unrecognized tax benefits 56.0    
Unrecognized tax benefits reduction resulting from lapse of applicable statute of limitations (up to) $ 7.8    
Maximum | Internal Revenue Service      
Income Tax Contingency [Line Items]      
Open tax year 2016    
Maximum | State      
Income Tax Contingency [Line Items]      
Open tax year 2016    
Minimum | Internal Revenue Service      
Income Tax Contingency [Line Items]      
Open tax year 2013    
Minimum | State      
Income Tax Contingency [Line Items]      
Open tax year 2012