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Business Acquisitions, Goodwill and Intangible Assets - URS Acquisition (Details) $ in Millions		3 Months Ended		6 Months Ended		12 Months Ended
	Oct. 17, 2014 USD ($)	Mar. 31, 2018 USD ($)	Mar. 31, 2017 USD ($)	Mar. 31, 2018 USD ($) item	Mar. 31, 2017 USD ($)	Sep. 30, 2017 USD ($) item
Business acquisition
Number of acquisition | item				1		2
Total consideration				$ 5.6		$ 164.4
URS
Business acquisition
Ownership acquired (in percent)	100.00%
Total consideration	$ 2,300.0
Consideration paid by issuing stock	1,600.0
Senior notes assumed, net of Company repayments	400.0
Repayment of acquiree term loan as part of consideration	600.0
Repayment of acquiree line of credit as part of consideration	100.0
Accrued expenses and other current liabilities	240.0
Amortization of intangible assets of acquiree for the period		$ 18.2	$ 20.9	36.4	$ 41.8
Fair value adjustment of joint ventures		1.7	2.5	3.6	4.5
Fair value adjustment of noncontrolling interests		(2.1)	(2.1)	(4.2)	(4.2)
Fair value of margin liability	$ 149.1
Carrying value margin fair value liability		6.4		6.4		$ 8.6
Margin liability recognition period ( in years)	2 years
Revenue and related income from operations related to margin fair value liability		$ 1.1	$ 1.6	$ 2.2	$ 3.2
URS | Customer relationships, contracts and backlog
Business acquisition
Acquired backlog and customer relationship assets	$ 973.8
URS | Customer relationships, contracts and backlog | Minimum
Business acquisition
Useful life (in years)	1 year
URS | Customer relationships, contracts and backlog | Maximum
Business acquisition
Useful life (in years)	11 years
URS | Customer relationships, contracts and backlog | Weighted Average
Business acquisition
Useful life (in years)	3 years

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Amount of repayment of acquiree line of credit as part of consideration for the business combination.

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Amount of billings in excess of costs on uncompleted contracts assumed at the acquisition date.

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Represents the margin fair value liability of acquisition.

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Represents the numbers of acquisitions.

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Percentage of voting equity interests acquired at the acquisition date in the business combination.

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Amount of liabilities incurred by the acquirer as part of consideration transferred in a business combination.

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The amount of identifiable intangible assets recognized as of the acquisition date.

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Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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