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Segment Information (Summary Of Revenue By Segment And Reconciling Items) (Details) - USD ($)
 12 Months Ended 36 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2020
Segment Reporting Information [Line Items]        
Revenues $ 2,957,013,000 $ 2,606,572,000 $ 2,340,196,000  
Depreciation and amortization 154,850,000 150,795,000 119,960,000  
Operating Income (Loss) 809,659,000 579,263,000 541,831,000  
Amortization of acquired intangible assets 30,092,000 32,424,000 19,117,000  
Litigation settlement expenses (600,000) 41,199,000   $ 0
Restructuring expenses   9,401,000 18,432,000  
Acquisition related expenses 0 6,100,000    
Interest income (1,021,000) (2,299,000) (16,378,000)  
Interest expense (income), net 40,377,000 36,156,000 28,355,000  
Loss attributable to equity method investments (25,058,000) (15,833,000)    
Other, net (12,157,000) (10,726,000) (8,542,000)  
Income before income taxes 733,088,000 518,847,000 521,312,000  
Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Operating Income (Loss) 1,016,849,000 840,954,000 711,535,000  
Corporate Costs [Member]        
Segment Reporting Information [Line Items]        
Depreciation and amortization 81,556,000 77,451,000 48,785,000  
Segment Reconciling Items [Member]        
Segment Reporting Information [Line Items]        
Deferred revenue fair value adjustment [1] (2,102,000) (5,348,000)    
Corporate costs 125,993,000 124,682,000 104,889,000  
Amortization of acquired intangible assets 79,695,000 74,938,000 46,383,000  
Litigation settlement expenses (600,000) 41,199,000    
Restructuring expenses   9,401,000 18,432,000  
Acquisition related expenses   6,123,000    
Deferred revenue fair value adjustment [1] 2,102,000 5,348,000    
Interest expense (income), net 39,356,000 33,857,000 11,977,000  
Loss attributable to equity method investments 25,058,000 15,833,000    
Other, net 12,157,000 10,726,000 8,542,000  
Income before income taxes 733,088,000 518,847,000 521,312,000  
Sleep And Respiratory Care [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Revenues 2,602,381,000 2,330,783,000 2,183,193,000  
Depreciation and amortization 69,444,000 70,094,000 70,366,000  
Operating Income (Loss) 934,697,000 766,068,000 656,311,000  
Software As A Service Before Deferred Revenue Adjustment [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Revenues 356,734,000 281,137,000 157,003,000  
Software As A Service [Member]        
Segment Reporting Information [Line Items]        
Deferred revenue fair value adjustment [1] (2,102,000) (5,348,000)    
Deferred revenue fair value adjustment [1] 2,102,000 5,348,000    
Software As A Service [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Revenues 354,632,000 275,789,000 157,003,000  
Depreciation and amortization 3,850,000 3,250,000 809,000  
Operating Income (Loss) $ 82,152,000 $ 74,886,000 $ 55,224,000  
[1] The deferred revenue fair value adjustment is a purchase price accounting adjustment related to MatrixCare which was acquired on November 13, 2018.