Earnings Per Share (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Earnings Per Share [Abstract]
Net income attributable to MTI	$ 122.2	$ 164.4	$ 112.4
Weighted average shares outstanding (in shares)	32,700,000	33,600,000	34,200,000
Dilutive effect of stock options and deferred restricted stock units (in shares)	100,000	200,000	0
Weighted average shares outstanding, adjusted (in shares)	32,800,000	33,800,000	34,200,000
Basic earnings per share attributable to MTI (in dollars per share)	$ 3.74	$ 4.89	$ 3.29
Diluted earnings per share attributable to MTI (in dollars per share)	$ 3.73	$ 4.86	$ 3.29
Stock Options [Member]
Earnings per Share [Abstract]
Options outstanding (in shares)	1,363,418	1,330,002	1,363,366
Anti-dilutive securities not included in computation of diluted earnings per share (in shares)	754,867	510,683	591,322