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Earnings Per Share (EPS) (Details) - USD ($)
$ / shares in Units, $ in Millions
 3 Months Ended 6 Months Ended
Jul. 01, 2018
Jul. 02, 2017
Jul. 01, 2018
Jul. 02, 2017
Earnings Per Share (EPS) [Abstract]        
Net income attributable to MTI $ 44.1 $ 43.0 $ 84.0 $ 77.6
Weighted average shares outstanding (in shares) 35,300,000 35,100,000 35,400,000 35,100,000
Dilutive effect of stock options and stock units (in shares) 300,000 500,000 200,000 500,000
Weighted average shares outstanding, adjusted (in shares) 35,600,000 35,600,000 35,600,000 35,600,000
Basic earnings per share attributable to MTI (in dollars per share) $ 1.25 $ 1.23 $ 2.37 $ 2.21
Diluted earnings per share attributable to MTI (in dollars per share) $ 1.24 $ 1.21 $ 2.36 $ 2.18
Stock Options [Member]        
Antidilutive Securities Excluded from Earnings Per Share Calculation [Abstract]        
Anti-dilutive securities not included in the weighted average commons shares outstanding calculation (in shares) 357,771 186,583 357,771 186,583