Consolidated Condensed 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, 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)	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)	$ 0.0			(9.0)
Treasury stock repurchase	(6.1)		$ (6.1)
Share-based compensation expense	(1.5)						(1.5)
ASU 2016-16 adoption	11.7				11.7
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]
Treasury stock repurchase	(156.1)
Ending balance (in shares) at Oct. 31, 2019		49.1	4.1
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 (loss)	90.5						90.5
Other comprehensive income (loss), net of tax	16.7					16.7
Issuance of common stock for stock plans, net (in shares)		0.1
Issuance of common stock for stock plans, net	(13.1)				(13.2)
Share-based compensation expense	(1.5)						(1.5)
ASU 2016-16 adoption	9.7				9.7
Ending balance (in shares) at Jan. 31, 2020		49.2	4.1
Ending balance at Jan. 31, 2020	$ 3,730.9	$ 4.9	$ (571.2)	$ 0.4	$ 1,611.6	$ (430.4)	$ 3,115.4	$ 0.2