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Business Acquisitions (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Dec. 21, 2017
Aug. 31, 2017
Jul. 01, 2015
Jun. 30, 2018
Jun. 30, 2017
Jun. 30, 2016
Business Acquisition [Line Items]            
Goodwill       $ 649,929 $ 552,465  
Ensenta Corporation [Member]            
Business Acquisition [Line Items]            
Business Acquisition, Effective Date of Acquisition Dec. 21, 2017          
Payments to Acquire Businesses, Gross $ 134,381          
Current assets 14,057          
Long-term assets 586          
Identifiable intangible assets 58,806          
Deferred income tax liability 21,716          
Total other liabilities assumed 8,450          
Total identifiable net assets 43,283          
Acquisition goodwill expected to be tax deductible 0          
Net assets acquired 134,381          
Cash Acquired from Acquisition 7,274          
Acquired Receivable, Fair Value 4,668          
Acquired Receivables, Gross Contractual Amount 4,668          
Acquired Receivables, Estimated Uncollectible 0          
Business Acquisition, Transaction Costs       339    
Revenue of Acquiree since Acquisition Date, Actual       15,776    
Earnings or Loss of Acquiree since Acquisition Date, Actual       8,197    
Earnings or Loss of Acquiree since Acquisition Date, Excluding Effects of TCJA       536    
Pro Forma Revenue       1,549,721 1,454,700  
Pro Forma Net Income (Loss)       $ 380,327 $ 247,928  
Pro Forma Earnings Per Share, Basic       $ 4.92 $ 3.18  
Pro Forma Earnings Per Share, Diluted       $ 4.90 $ 3.17  
Vanguard Software Group [Member]            
Business Acquisition [Line Items]            
Business Acquisition, Effective Date of Acquisition   Aug. 31, 2017        
Payments to Acquire Businesses, Gross   $ 10,744        
Current assets   1,153        
Long-term assets   9        
Identifiable intangible assets   4,200        
Total liabilities assumed   (1,117)        
Total identifiable net assets   4,245        
Acquisition goodwill expected to be tax deductible   6,499        
Net assets acquired   10,744        
Cash Acquired from Acquisition   289        
Acquired Receivable, Fair Value   847        
Acquired Receivables, Gross Contractual Amount   847        
Acquired Receivables, Estimated Uncollectible   0        
Revenue of Acquiree since Acquisition Date, Actual       $ 1,369    
Earnings or Loss of Acquiree since Acquisition Date, Actual       (940)    
Business Acquisition, Bayside Business Solutions [Member]            
Business Acquisition [Line Items]            
Business Acquisition, Effective Date of Acquisition     Jul. 01, 2015      
Payments to Acquire Businesses, Gross     $ 10,000      
Business Acquisition, Transaction Costs         $ 55  
Revenue of Acquiree since Acquisition Date, Actual       7,670 6,536 $ 4,273
Earnings or Loss of Acquiree since Acquisition Date, Actual       1,620 1,307 303
Customer Relationships [Member] | Ensenta Corporation [Member]            
Business Acquisition [Line Items]            
Identifiable Intangible Assets Acquired $ 37,800          
Identifiable Intangible Assets, Weighted Average Useful Life 15 years          
Customer Relationships [Member] | Vanguard Software Group [Member]            
Business Acquisition [Line Items]            
Identifiable Intangible Assets Acquired   $ 2,234        
Identifiable Intangible Assets, Weighted Average Useful Life   15 years        
Computer Software [Member] | Ensenta Corporation [Member]            
Business Acquisition [Line Items]            
Identifiable Intangible Assets Acquired $ 16,505          
Identifiable Intangible Assets, Weighted Average Useful Life 10 years          
Computer Software [Member] | Vanguard Software Group [Member]            
Business Acquisition [Line Items]            
Identifiable Intangible Assets Acquired   $ 1,426        
Identifiable Intangible Assets, Weighted Average Useful Life   10 years        
Other Intangible Assets [Member] | Ensenta Corporation [Member]            
Business Acquisition [Line Items]            
Identifiable Intangible Assets Acquired $ 4,501          
Identifiable Intangible Assets, Weighted Average Useful Life 10 years          
Other Intangible Assets [Member] | Vanguard Software Group [Member]            
Business Acquisition [Line Items]            
Identifiable Intangible Assets Acquired   $ 540        
Identifiable Intangible Assets, Weighted Average Useful Life   10 years        
Complementary [Member]            
Business Acquisition [Line Items]            
Goodwill       128,769 122,403 122,791
Complementary [Member] | Vanguard Software Group [Member]            
Business Acquisition [Line Items]            
Goodwill   $ 6,499        
Payments [Member]            
Business Acquisition [Line Items]            
Goodwill       $ 325,204 $ 234,106 $ 234,106
Payments [Member] | Ensenta Corporation [Member]            
Business Acquisition [Line Items]            
Goodwill $ 91,098