Equity - Changes in Equity (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended		6 Months Ended
	Jun. 30, 2024	Jun. 30, 2023	Jun. 30, 2024	Jun. 30, 2023
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	$ 2,735.0	$ 2,436.3	$ 2,702.4	$ 2,352.9
Net income	102.0	129.5	212.6	255.2
Foreign currency translation adjustments	(29.3)	(27.9)	(80.0)	(0.2)
Pension and other postretirement liability adjustments (net of income tax benefit)	(1.5)	(1.6)	(3.0)	(3.1)
Change in fair value of derivative financial instruments, net of reclassifications	(0.8)	(0.3)	0.3	(1.1)
Dividends	(23.9)	(23.8)	(48.4)	(47.4)
Sale of shares of Timken India Limited	188.0	229.0	188.0	229.0
Noncontrolling interest acquired	1.0		1.0
Stock-based compensation expense	7.0	6.1	11.5	17.1
Stock purchased at fair market value	(29.7)	(100.5)	(29.7)	(154.5)
Stock option exercise activity	3.4	4.5	5.4	17.2
Payments related to tax withholding for stock-based compensation	(1.1)	(1.3)	(10.0)	(15.1)
Ending balance	2,950.1	2,650.0	2,950.1	2,650.0
Pension and other postretirement liability adjustment, tax benefit	$ 0.4	$ 0.5	$ 0.9	$ 1.0
Dividends (in dollars per share)	$ 0.34	$ 0.33	$ 0.67	$ 0.64
Stated Capital
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	$ 40.7	$ 40.7	$ 40.7	$ 40.7
Ending balance	40.7	40.7	40.7	40.7
Other Paid-In Capital
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	1,083.0	853.3	1,076.5	829.6
Sale of shares of Timken India Limited	162.5	194.5	162.5	194.5
Stock-based compensation expense	7.0	6.1	11.5	17.1
Stock option exercise activity	3.4	4.5	5.4	17.2
Ending balance	1,255.9	1,058.4	1,255.9	1,058.4
Retained Earnings
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	2,311.2	2,030.8	2,232.2	1,932.1
Net income	96.2	125.2	199.7	247.5
Dividends	(23.9)	(23.8)	(48.4)	(47.4)
Ending balance	2,383.5	2,132.2	2,383.5	2,132.2
Accumulated Other Comprehensive Loss
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(197.6)	(156.8)	(146.9)	(181.9)
Foreign currency translation adjustments	(29.2)	(27.6)	(79.5)	(0.2)
Pension and other postretirement liability adjustments (net of income tax benefit)	(1.5)	(1.6)	(3.0)	(3.1)
Change in fair value of derivative financial instruments, net of reclassifications	(0.8)	(0.3)	0.3	(1.1)
Sale of shares of Timken India Limited	5.6	8.1	5.6	8.1
Ending balance	(223.5)	(178.2)	(223.5)	(178.2)
Treasury Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(629.0)	(420.0)	(620.1)	(352.2)
Stock purchased at fair market value	(29.7)	(100.5)	(29.7)	(154.5)
Payments related to tax withholding for stock-based compensation	(1.1)	(1.3)	(10.0)	(15.1)
Ending balance	(659.8)	(521.8)	(659.8)	(521.8)
Non controlling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	126.7	88.3	120.0	84.6
Net income	5.8	4.3	12.9	7.7
Foreign currency translation adjustments	(0.1)	(0.3)	(0.5)
Sale of shares of Timken India Limited	19.9	26.4	19.9	26.4
Noncontrolling interest acquired	1.0		1.0
Ending balance	$ 153.3	$ 118.7	$ 153.3	$ 118.7