Consolidated Statements of Stockholders' Equity - USD ($) shares in Millions, $ 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, 2017		48.8	3.6
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 (loss) attributable to Cooper stockholders	(122.5)						(122.5)
Other comprehensive income (loss), net of tax	102.3					102.3
Issuance of common stock for stock plans, net (in shares)		0.2
Issuance of common stock for stock plans, net	(10.5)	$ 0.1			(10.6)
Dividends on common stock	(1.4)						(1.4)
Share-based compensation expense	12.7				12.7
Ending Balance (in shares) at Jan. 31, 2018		49.0	3.6
Ending Balance at Jan. 31, 2018	3,156.4	$ 5.0	$ (415.1)	0.3	1,528.8	(273.0)	2,310.3	0.1
Beginning Balance (in shares) at Oct. 31, 2017		48.8	3.6
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 (loss) attributable to Cooper stockholders	(61.6)
Ending Balance (in shares) at Apr. 30, 2018		49.1	3.6
Ending Balance at Apr. 30, 2018	3,188.0	$ 5.0	$ (415.1)	0.3	1,542.5	(316.0)	2,371.2	0.1
Beginning Balance (in shares) at Jan. 31, 2018		49.0	3.6
Beginning Balance at Jan. 31, 2018	3,156.4	$ 5.0	$ (415.1)	0.3	1,528.8	(273.0)	2,310.3	0.1
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss) attributable to Cooper stockholders	60.9						60.9
Other comprehensive income (loss), net of tax	(43.0)					(43.0)
Issuance of common stock for stock plans, net (in shares)		0.1
Issuance of common stock for stock plans, net	0.1				0.1
Share-based compensation expense	13.6				13.6
Ending Balance (in shares) at Apr. 30, 2018		49.1	3.6
Ending Balance at Apr. 30, 2018	3,188.0	$ 5.0	$ (415.1)	0.3	1,542.5	(316.0)	2,371.2	0.1
Beginning Balance (in shares) at Oct. 31, 2018		49.2	3.6
Beginning 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 income (loss) attributable to Cooper stockholders	103.2						103.2
Other comprehensive income (loss), net of tax	32.7					32.7
Issuance of common stock for stock plans, net (in shares)		0.1
Issuance of common stock for stock plans, net	(9.0)				(9.0)
Dividends on common stock	(1.5)						(1.5)
Share-based compensation expense	11.7				11.7
Treasury stock repurchase	(6.1)		$ (6.1)
Ending Balance (in shares) at Jan. 31, 2019		49.3	3.6
Ending Balance at Jan. 31, 2019	3,425.5	$ 5.0	$ (421.2)	0.3	1,574.8	(398.0)	2,664.4	0.2
Beginning Balance (in shares) at Oct. 31, 2018		49.2	3.6
Beginning 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 income (loss) attributable to Cooper stockholders	225.5
Ending Balance (in shares) at Apr. 30, 2019		49.5	3.6
Ending Balance at Apr. 30, 2019	3,542.2	$ 5.0	$ (421.2)	0.3	1,587.7	(416.6)	2,786.8	0.2
Beginning Balance (in shares) at Jan. 31, 2019		49.3	3.6
Beginning Balance at Jan. 31, 2019	3,425.5	$ 5.0	$ (421.2)	0.3	1,574.8	(398.0)	2,664.4	0.2
Increase (Decrease) in Stockholders' Equity [Roll Forward]
Net income (loss) attributable to Cooper stockholders	122.4						122.4
Other comprehensive income (loss), net of tax	(18.6)					(18.6)
Issuance of common stock for stock plans, net (in shares)		0.2
Issuance of common stock for stock plans, net	4.5				4.5
Share-based compensation expense	8.4				8.4
Ending Balance (in shares) at Apr. 30, 2019		49.5	3.6
Ending Balance at Apr. 30, 2019	$ 3,542.2	$ 5.0	$ (421.2)	$ 0.3	$ 1,587.7	$ (416.6)	$ 2,786.8	$ 0.2