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New accounting pronouncements - Effects of the Adoption of ASC 842 (Details) - USD ($)
$ in Millions
May 04, 2019
Feb. 03, 2019
Feb. 02, 2019
May 05, 2018
Current assets:        
Other current assets $ 205.5 $ 235.2 $ 244.0 $ 236.8
Non-current assets:        
Operating lease right-of-use assets 1,822.8 1,927.2    
Current liabilities:        
Accrued expenses and other current liabilities 420.2 393.8 502.8 463.7
Operating lease liabilities 358.9 376.5    
Non-current liabilities:        
Operating lease liabilities 1,589.4 1,676.9    
Other liabilities $ 126.0 198.1 $ 224.1 $ 236.5
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)