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Accumulated Other Comprehensive Income (Loss) - Schedule of Changes in Accumulated Other Comprehensive Income (Loss) by Component (Details) - USD ($) $ in Millions			3 Months Ended		6 Months Ended
	Oct. 01, 2019	Oct. 01, 2018	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2020	Mar. 31, 2019
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance at beginning of period	$ 2,599.8				$ 2,599.8
Total other comprehensive income (loss), net of tax			$ (27.0)	$ (10.9)	(7.3)	$ (19.7)
Balance at end of period			2,689.0		2,689.0
Employee Pension and Postretirement Benefits, Net of Tax
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance at beginning of period	(69.4)	$ (10.9)	(68.7)	(20.0)	(69.4)	(10.9)
Other comprehensive income (loss) before reclassifications				(3.9)		(3.9)
Amounts reclassified from accumulated other comprehensive income (loss)			0.7	0.1	1.4	0.1
Total other comprehensive income (loss), net of tax			0.7	(3.8)	1.4	(3.8)
Balance at end of period	(20.0)		(68.0)	(23.8)	(68.0)	(23.8)
Employee Pension and Postretirement Benefits, Net of Tax | Accounting Standards Update 2018-02
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification	(9.1)
Cumulative Translation Adjustments
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance at beginning of period	(132.5)	(96.2)	(113.0)	(105.0)	(132.5)	(96.2)
Other comprehensive income (loss) before reclassifications			(28.4)	(6.9)	(8.9)	(15.7)
Total other comprehensive income (loss), net of tax			(28.4)	(6.9)	(8.9)	(15.7)
Balance at end of period	(96.2)		(141.4)	(111.9)	(141.4)	(111.9)
Derivative Instruments
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance at beginning of period	0.3	0.3	(0.2)	0.3	0.3	0.3
Other comprehensive income (loss) before reclassifications			0.7	(0.2)	0.2	(0.2)
Total other comprehensive income (loss), net of tax			0.7	(0.2)	0.2	(0.2)
Balance at end of period	0.3		0.5	0.1	0.5	0.1
Accumulated Other Comprehensive Income (Loss)
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Balance at beginning of period	(201.6)	(106.8)	(181.9)	(124.7)	(201.6)	(106.8)
Other comprehensive income (loss) before reclassifications			(27.7)	(11.0)	(8.7)	(19.8)
Amounts reclassified from accumulated other comprehensive income (loss)			0.7	0.1	1.4	0.1
Total other comprehensive income (loss), net of tax			(27.0)	(10.9)	(7.3)	(19.7)
Balance at end of period	(115.9)		$ (208.9)	$ (135.6)	$ (208.9)	$ (135.6)
Accumulated Other Comprehensive Income (Loss) | Accounting Standards Update 2018-02
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification	$ (9.1)	$ (9.1)

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Amount after tax, before reclassification adjustments of other comprehensive income (loss).

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Amount after tax and reclassification adjustments of other comprehensive income (loss).

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Amount after tax of reclassification adjustments of other comprehensive income (loss).

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Total of all stockholders' equity (deficit) items, net of receivables from officers, directors, owners, and affiliates of the entity which are attributable to the parent. The amount of the economic entity's stockholders' equity attributable to the parent excludes the amount of stockholders' equity which is allocable to that ownership interest in subsidiary equity which is not attributable to the parent (noncontrolling interest, minority interest). This excludes temporary equity and is sometimes called permanent equity.

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