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
Beginning balance (in shares) at Oct. 31, 2016		48,800,000	3,300,000
Beginning balance at Oct. 31, 2016	$ 2,695.9	$ 4.9	$ (360.1)	$ 0.3	$ 1,494.0	$ (489.6)	$ 2,046.3	$ 0.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) income attributable to Cooper stockholders	372.9						372.9
Other comprehensive income (loss), net of tax	114.3					114.3
Issuance of common stock for stock plans (in shares)		300,000
Issuance of common stock for stock plans	(5.3)				(5.3)
Treasury stock repurchase (in shares)		300,000	300,000
Treasury stock repurchase	(55.0)		$ (55.0)
Dividends on common stock	(2.9)						(2.9)
Share-based compensation expense	38.2				38.2
Ending balance (in shares) at Oct. 31, 2017		48,800,000	3,600,000
Ending 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 (loss) 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	$ 1.8	$ 0.1			1.7
Treasury stock repurchase (in shares)	0
Dividends on common stock	$ (2.9)						(2.9)
Share-based compensation expense	43.7				43.7
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
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net (loss) 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	$ 7.8				7.8
Treasury stock repurchase (in shares)	537,000	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