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Earnings Per Share and Shareholders' Equity (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended
Mar. 30, 2019
Mar. 31, 2018
Oct. 31, 2018
Numerator:      
Net income $ 63.9 $ 80.8  
Denominator:      
Weighted average shares outstanding for basic EPS 135.9 140.8  
Dilutive effect of share-based awards (in shares) 0.3 0.6  
Weighted average shares outstanding for diluted EPS 136.2 141.4  
Anti-dilutive share-based awards excluded from computation of diluted EPS (shares) 2.1 0.7  
Stock repurchase program, authorized amount     $ 1,000.0
Stock Repurchased During Period, Shares 0.0    
Share price (in dollars per share)   $ 81.92  
Repurchase of equity amount   $ 108.1  
Ordinary Shares Issued      
Denominator:      
Stock Repurchased During Period, Shares   1.3