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Earnings Per Share (Details) - USD ($)
$ / shares in Units, $ in Millions
 12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Earnings per Share [Abstract]      
Net income attributable to MTI $ 164.4 $ 112.4 $ 132.7
Weighted average shares outstanding (in shares) 33,600,000 34,200,000 35,000,000.0
Dilutive effect of stock options and stock units (in shares) 200,000 0 100,000
Weighted average shares outstanding, adjusted (in shares) 33,800,000 34,200,000 35,100,000
Basic earnings per share attributable to MTI (in dollars per share) $ 4.89 $ 3.29 $ 3.79
Diluted earnings per share attributable to MTI (in dollars per share) $ 4.86 $ 3.29 $ 3.78
Stock Options [Member]      
Earnings per Share [Abstract]      
Options outstanding (in shares) 1,330,002 1,363,366 1,227,620
Anti-dilutive securities not included in computation of diluted earnings per share (in shares) 510,683 591,322 825,331