Consolidated Statements of Stockholders' Equity - USD ($) $ in Millions	Total	Common Shares	Treasury Stock	Treasury Stock Par Net Value	Additional Paid-In Capital	Accumulated Other Comprehensive Income (Loss)	Retained Earnings	Noncontrolling Interests	Cumulative Effect, Period of Adoption, Adjustment	Cumulative Effect, Period of Adoption, Adjustment Retained Earnings
Beginning balance (in shares) at Oct. 31, 2017		48,800,000	3,600,000
Beginning balance at Oct. 31, 2017	$ 3,175.8	$ 4.9	$ (415.1)	$ 0.3	$ 1,526.7	$ (375.3)	$ 2,434.2	$ 0.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income attributable to Cooper stockholders	139.9						139.9
Other comprehensive income (loss), net of tax	(50.6)					(50.6)
Issuance of common stock for stock plans (in shares)		400,000
Issuance of common stock for stock plans, net	1.8	$ 0.1			1.7
Dividends on common stock	(2.9)						(2.9)
Share-based compensation expense	43.7				43.7
ASU2018-02 adoption						(4.8)	4.8
Noncontrolling interests	0.1							0.1
Ending balance (in shares) at Oct. 31, 2018		49,200,000	3,600,000
Ending balance at Oct. 31, 2018	$ 3,307.8	$ 5.0	$ (415.1)	0.3	1,572.1	(430.7)	2,576.0	0.2	$ (13.3)	$ (13.3)
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Accounting Standards Update [Extensible List]	us-gaap:AccountingStandardsUpdate201616Member
Net income attributable to Cooper stockholders	$ 466.7						466.7
Other comprehensive income (loss), net of tax	(16.4)					(16.4)
Issuance of common stock for stock plans (in shares)		400,000
Issuance of common stock for stock plans, net	$ 7.8				7.8
Treasury stock repurchase (in shares)	536,972	500,000	500,000
Treasury stock repurchase	$ (156.1)	$ (0.1)	$ (156.1)	0.1
Dividends on common stock	(3.0)						(3.0)
Share-based compensation expense	35.1				35.1
Ending balance (in shares) at Oct. 31, 2019		49,100,000	4,100,000
Ending balance at Oct. 31, 2019	3,628.6	$ 4.9	$ (571.2)	0.4	1,615.0	(447.1)	3,026.4	0.2
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income attributable to Cooper stockholders	238.4						238.4
Other comprehensive income (loss), net of tax	(24.9)					(24.9)
Issuance of common stock for stock plans (in shares)		200,000
Issuance of common stock for stock plans, net	(6.8)				(6.8)
Issuance of common stock for employee stock purchase plan	$ 3.5		$ 1.7		1.8
Treasury stock repurchase (in shares)	160,850	200,000	200,000
Treasury stock repurchase	$ (47.8)		$ (47.8)
Dividends on common stock	(3.0)						(3.0)
Share-based compensation expense	36.8				36.8
Ending balance (in shares) at Oct. 31, 2020		49,100,000	4,300,000
Ending balance at Oct. 31, 2020	$ 3,824.8	$ 4.9	$ (617.3)	$ 0.4	$ 1,646.8	$ (472.0)	$ 3,261.8	$ 0.2