Acquisitions (Detail Textual 2) - USD ($) $ in Thousands		1 Months Ended	3 Months Ended		9 Months Ended
	Mar. 01, 2019	Mar. 31, 2019	Mar. 31, 2019	Mar. 31, 2018	Mar. 31, 2019	Mar. 31, 2018	Jun. 30, 2018	Jun. 30, 2017
Business Acquisition [Line Items]
Cash consideration					$ 1,071,023	$ 50,368
Goodwill		$ 3,322,982	$ 3,322,982		3,322,982		$ 2,620,835	$ 2,577,435
Revenue			1,264,958	$ 1,124,100	3,612,463	3,297,774
Net income			$ 68,145	$ 64,499	$ 215,574	$ 249,340
Customer contracts and related customer relationships
Business Acquisition [Line Items]
Amortization period of acquired intangible assets					16 years 7 months 6 days
Technology
Business Acquisition [Line Items]
Amortization period of acquired intangible assets					10 years 2 months 12 days
LGS
Business Acquisition [Line Items]
Purchase consideration	$ 759,500
Cash consideration	759,900
Purchase consideration adjustments, net	(400)
Goodwill	521,630
Identifiable intangible assets	147,650
Amount of tax deductible goodwill and intangibles	615,800
Revenue		32,800
Net income		1,300
Amortization expense		1,300
Acquisition-related expenses					$ 11,300
Integration and restructuring costs		$ 2,700
LGS | Customer contracts and related customer relationships
Business Acquisition [Line Items]
Identifiable intangible assets	$ 86,900
Amortization period of acquired intangible assets	20 years
LGS | Technology
Business Acquisition [Line Items]
Identifiable intangible assets	$ 60,800
LGS | Technology | Minimum
Business Acquisition [Line Items]
Amortization period of acquired intangible assets	5 years
LGS | Technology | Maximum
Business Acquisition [Line Items]
Amortization period of acquired intangible assets	15 years