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ACQUISITIONS (Detail Textual 2) - USD ($)
$ in Thousands
 3 Months Ended 4 Months Ended 12 Months Ended
Mar. 01, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
 [1]
Sep. 30, 2017
Jun. 30, 2019
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2017
Sep. 30, 2019
Business Acquisition [Line Items]                            
Cash consideration                     $ 1,082,809 $ 76,910 $ 7,276  
Goodwill   $ 3,336,079       $ 2,620,835       $ 3,336,079 3,336,079 2,620,835 2,577,435 $ 3,336,079
Revenue   1,373,878 $ 1,264,958 $ 1,181,641 $ 1,165,864 1,170,086 $ 1,124,100 $ 1,087,860 $ 1,085,814   4,986,341 4,467,860 4,354,617  
Net income   50,030 $ 68,145 $ 68,596 $ 78,833 $ 51,831 $ 64,499 $ 142,795 $ 42,046   265,604 301,171 163,671  
Amortization expense                     $ 45,800 $ 38,200 $ 40,700  
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 3 months 18 days      
LGS                            
Business Acquisition [Line Items]                            
Purchase consideration $ 750,500                          
Cash consideration 759,900                          
Purchase consideration adjustments, net (9,400)                          
Measurement period adjustment to consideration   (9,000)                        
Measurement period adjustment to deferred income taxes   $ 5,200                        
Goodwill 526,879                          
Identifiable intangible assets 147,650                          
Amount of tax deductible goodwill and intangibles 589,100                          
Revenue                   132,300        
Net income                   1,300        
Amortization expense                   5,200        
Integration and restructuring costs                   $ 2,600        
Acquisition-related expenses                     $ 11,400      
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                          
[1] Net income for the second quarter of FY2019 includes a net benefit related to the TCJA. See Note 19.