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Common shares, treasury shares, and dividends - Share Repurchase (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Apr. 30, 2022
Jan. 29, 2022
Jan. 30, 2021
Feb. 01, 2020
Aug. 23, 2021
Aug. 22, 2021
Class of Stock [Line Items]            
Amount repurchased   $ 311.8        
2017 Program            
Class of Stock [Line Items]            
Stock repurchase program, authorized amount   $ 1,159.4        
Shares repurchased (shares)   3.2 0.0 0.0    
Amount repurchased   $ 261.8 $ 0.0 $ 0.0    
Average repurchase price per share (usd per share)   $ 81.16 $ 0.00 $ 0.00    
Remaining authorized repurchase amount   $ 413.2     $ 225.0 $ 165.6
2017 Program | Scenario, Forecast            
Class of Stock [Line Items]            
Amount repurchased $ 50.0