Equity - Schedule of Stockholders Equity (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2023	Sep. 30, 2022
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	$ 2,650.0	$ 2,289.2	$ 2,352.9	$ 2,377.7
Net Income	90.9	90.4	346.1	317.9
Foreign currency translation adjustments	(65.1)	(136.8)	(65.3)	(272.5)
Pension and other postretirement liability adjustments (net of income tax expense)	(1.4)	(1.4)	(4.5)	(4.3)
Change in fair value of derivative financial instruments, net of reclassifications	2.0	1.8	0.9	6.0
Dividends declared to noncontrolling interest	(0.6)	(0.5)	(0.6)	(0.5)
Dividends	(23.4)	(22.8)	(70.8)	(69.2)
Sale of shares of Timken India Limited			229.0
Stock-based compensation expense	5.8	6.7	22.9	22.3
Stock purchased at fair market value	(63.9)	(49.0)	(218.4)	(193.3)
Stock option exercise activity	4.1	2.6	21.3	4.2
Restricted share activity		0.0		0.0
Payments related to tax withholding for stock-based compensation	(1.3)	(1.4)	(16.4)	(9.5)
Ending balance	2,597.1	2,178.8	2,597.1	2,178.8
Pension and other postretirement liability adjustment, tax benefit	$ 0.5	$ 0.6	$ 1.5	$ 1.5
Dividends (in dollars per share)	$ 0.33	$ 0.31	$ 0.97	$ 0.92
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	1,058.4	804.1	829.6	786.9
Sale of shares of Timken India Limited			194.5
Stock-based compensation expense	5.8	6.7	22.9	22.3
Stock option exercise activity	4.1	2.6	21.3	4.2
Restricted share activity		3.8		3.8
Ending balance	1,068.3	817.2	1,068.3	817.2
Retained Earnings
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	2,132.2	1,793.2	1,932.1	1,616.4
Net Income	87.9	87.0	335.4	310.2
Dividends	(23.4)	(22.8)	(70.8)	(69.2)
Ending balance	2,196.7	1,857.4	2,196.7	1,857.4
Accumulated Other Comprehensive Loss
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(178.2)	(155.9)	(181.9)	(23.0)
Foreign currency translation adjustments	(63.3)	(133.5)	(63.5)	(267.7)
Pension and other postretirement liability adjustments (net of income tax expense)	(1.4)	(1.4)	(4.5)	(4.3)
Change in fair value of derivative financial instruments, net of reclassifications	2.0	1.8	0.9	6.0
Sale of shares of Timken India Limited			8.1
Ending balance	(240.9)	(289.0)	(240.9)	(289.0)
Treasury Stock
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	(521.8)	(278.5)	(352.2)	(126.1)
Stock purchased at fair market value	(63.9)	(49.0)	(218.4)	(193.3)
Restricted share activity		(3.8)		(3.8)
Payments related to tax withholding for stock-based compensation	(1.3)	(1.4)	(16.4)	(9.5)
Ending balance	(587.0)	(332.7)	(587.0)	(332.7)
Non controlling Interest
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Beginning balance	118.7	85.6	84.6	82.8
Net Income	3.0	3.4	10.7	7.7
Foreign currency translation adjustments	(1.8)	(3.3)	(1.8)	(4.8)
Dividends declared to noncontrolling interest	(0.6)	(0.5)	(0.6)	(0.5)
Sale of shares of Timken India Limited			26.4
Ending balance	$ 119.3	$ 85.2	$ 119.3	$ 85.2