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Shareholders' equity - Share Repurchase (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
6 Months Ended
Aug. 04, 2018
Jul. 29, 2017
Class of Stock [Line Items]    
Shares repurchased (shares) 8.8 8.1
Amount repurchased $ 485.0 $ 460.0
Average repurchase price per share (usd per share) $ 55.06 $ 56.91
2017 Program    
Class of Stock [Line Items]    
Amount authorized $ 600.0  
Shares repurchased (shares) 7.5  
Amount repurchased $ 434.4  
Average repurchase price per share (usd per share) $ 57.64  
2016 Program    
Class of Stock [Line Items]    
Amount authorized $ 1,375.0  
Shares repurchased (shares) 1.3 8.1
Amount repurchased $ 50.6 $ 460.0
Average repurchase price per share (usd per share) $ 39.76 $ 56.91
Remaining authorized repurchase amount $ 165.6