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New accounting pronouncements - Effects of the Adoption of ASC 842 (Details) - USD ($)
$ in Millions
Aug. 03, 2019
Feb. 03, 2019
Feb. 02, 2019
Aug. 04, 2018
Current assets:        
Other current assets $ 190.6 $ 235.2 $ 244.0 $ 239.3
Non-current assets:        
Operating lease right-of-use assets 1,729.3 1,927.2 0.0  
Current liabilities:        
Accrued expenses and other current liabilities 418.0 393.8 502.8 440.4
Operating lease liabilities 324.8 376.5 0.0  
Non-current liabilities:        
Operating lease liabilities 1,499.0 1,676.9 0.0  
Other liabilities 122.7 $ 198.1 $ 224.1 $ 236.1
Accounting Standards Update 2016-02        
Current assets:        
Other current assets (8.8)      
Non-current assets:        
Operating lease right-of-use assets 1,927.2      
Current liabilities:        
Accrued expenses and other current liabilities (109.0)      
Operating lease liabilities 376.5      
Non-current liabilities:        
Operating lease liabilities 1,676.9      
Other liabilities $ (26.0)