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Goodwill and Intangibles, net - Summary of Definite Lived Intangible Assets (Detail) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2017	Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items]
Document Period End Date	Dec. 31, 2017
Cost	$ 909.7	$ 884.8
Accumulated Amortization	(336.4)	(297.1)
Net	573.3	587.7
Customer Relationships [Member]
Finite-Lived Intangible Assets [Line Items]
Cost	672.6	671.7
Accumulated Amortization	(232.4)	(222.3)
Net	$ 440.2	449.4
Customer Relationships [Member] | Minimum [Member]
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	2 years
Customer Relationships [Member] | Maximum
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	20 years
Trade Names [Member]
Finite-Lived Intangible Assets [Line Items]
Cost	$ 5.5	18.5
Accumulated Amortization	(2.8)	(15.1)
Net	2.7	3.4
Technology-Based Intangible Assets [Member]
Finite-Lived Intangible Assets [Line Items]
Cost	231.6	194.6
Accumulated Amortization	(101.2)	(59.7)
Net	$ 130.4	$ 134.9
Technology Assets [Member] | Minimum [Member]
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	6 years
Technology Assets [Member] | Maximum
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	18 years
Trade Name [Member] | Minimum [Member]
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	5 years
Trade Name [Member] | Maximum
Finite-Lived Intangible Assets [Line Items]
Finite-Lived Intangible Asset, Useful Life	13 years

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+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
-Paragraph 2
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Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
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-Section 50
-Paragraph 2
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