Equity - Schedule of Stockholders Equity (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended		6 Months Ended
	Jun. 30, 2023	Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	$ 2,436.3	$ 2,355.0	$ 2,352.9	$ 2,377.7
Net Income	129.5	105.6	255.2	227.5
Foreign currency translation adjustments	(27.9)	(113.1)	(0.2)	(135.7)
Pension and other postretirement liability adjustments (net of income tax benefits)	(1.6)	(1.4)	(3.1)	(2.9)
Change in fair value of derivative financial instruments, net of reclassifications	(0.3)	2.2	(1.1)	4.2
Dividends declared to noncontrolling interest	0.0
Dividends	(23.8)	(22.9)	(47.4)	(46.4)
Sale of shares of Timken India Limited	229.0		229.0
Stock-based compensation expense	6.1	8.5	17.1	15.6
Stock purchased at fair market value	(100.5)	(44.3)	(154.5)	(144.3)
Stock option exercise activity	4.5	0.2	17.2	1.6
Payments related to tax withholding for stock-based compensation	(1.3)	(0.6)	(15.1)	(8.1)
Ending balance	2,650.0	2,289.2	2,650.0	2,289.2
Pension and other postretirement liability adjustment, tax benefit	$ 0.5	$ 0.5	$ 1.0	$ 1.0
Dividends (in dollars per share)	$ 0.33	$ 0.31	$ 0.64	$ 0.61
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	853.3	795.4	829.6	786.9
Sale of shares of Timken India Limited	194.5		194.5
Stock-based compensation expense	6.1	8.5	17.1	15.6
Stock option exercise activity	4.5	0.2	17.2	1.6
Ending balance	1,058.4	804.1	1,058.4	804.1
Retained Earnings
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	2,030.8	1,711.1	1,932.1	1,616.4
Net Income	125.2	105.0	247.5	223.2
Dividends	(23.8)	(22.9)	(47.4)	(46.4)
Ending balance	2,132.2	1,793.2	2,132.2	1,793.2
Accumulated Other Comprehensive Income (Loss)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(156.8)	(42.5)	(181.9)	(23.0)
Foreign currency translation adjustments	(27.6)	(114.2)	(0.2)	(134.2)
Pension and other postretirement liability adjustments (net of income tax benefits)	(1.6)	(1.4)	(3.1)	(2.9)
Change in fair value of derivative financial instruments, net of reclassifications	(0.3)	2.2	(1.1)	4.2
Sale of shares of Timken India Limited	8.1		8.1
Ending balance	(178.2)	(155.9)	(178.2)	(155.9)
Treasury Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(420.0)	(233.6)	(352.2)	(126.1)
Stock purchased at fair market value	(100.5)	(44.3)	(154.5)	(144.3)
Payments related to tax withholding for stock-based compensation	(1.3)	(0.6)	(15.1)	(8.1)
Ending balance	(521.8)	(278.5)	(521.8)	(278.5)
Non controlling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	88.3	83.9	84.6	82.8
Net Income	4.3	0.6	7.7	4.3
Foreign currency translation adjustments	(0.3)	1.1		(1.5)
Dividends declared to noncontrolling interest
Sale of shares of Timken India Limited	26.4		26.4
Ending balance	$ 118.7	$ 85.6	$ 118.7	$ 85.6