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Segment Information (Summary Of Revenue By Segment And Reconciling Items) (Details) - USD ($)
 3 Months Ended 6 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Segment Reporting Information [Line Items]        
Revenues $ 736,157,000 $ 651,100,000 $ 1,417,213,000 $ 1,239,380,000
Operating Income (Loss) 197,809,000 157,078,000 368,912,000 301,211,000
Amortization of acquired intangible assets 8,556,000 6,641,000 13,599,000 12,553,000
Litigation settlement expenses (600,000)   (600,000)  
Acquisition related expenses   6,123,000 0 6,123,000
Interest income (202,000) (678,000) (650,000) (1,600,000)
Interest expense 10,220,000 7,487,000 21,212,000 11,195,000
Loss attributable to equity method investments (6,924,000) (3,375,000) (13,786,000) (3,375,000)
Other, net (2,115,000) (621,000) (5,225,000) (3,086,000)
Income before income taxes 178,752,000 146,273,000 329,339,000 285,155,000
Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Operating Income (Loss) 251,436,000 213,603,000 473,395,000 404,628,000
Segment Reconciling Items [Member]        
Segment Reporting Information [Line Items]        
Deferred revenue fair value adjustment (657,000) (2,029,000) (2,102,000) (2,029,000)
Corporate costs 32,962,000 32,533,000 63,894,000 66,558,000
Amortization of acquired intangible assets 20,608,000 15,840,000 39,087,000 28,707,000
Deferred revenue fair value adjustment 657,000 2,029,000 2,102,000 2,029,000
Interest income (202,000) (678,000) (650,000) (1,600,000)
Interest expense 10,220,000 7,487,000 21,212,000 11,195,000
Loss attributable to equity method investments 6,924,000 3,375,000 13,786,000 3,375,000
Other, net 2,115,000 621,000 5,225,000 3,086,000
Income before income taxes 178,752,000 146,273,000 329,339,000 285,155,000
Total Sleep And Respiratory Care [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Revenues 649,451,000 587,894,000 1,243,617,000 1,128,708,000
Operating Income (Loss) 230,097,000 196,542,000 428,260,000 372,244,000
Software As A Service Before Deferred Revenue Adjustment [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Revenues 87,363,000 65,235,000 175,698,000 112,701,000
Software As A Service [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Deferred revenue fair value adjustment (657,000) (2,029,000) (2,102,000) (2,029,000)
Revenues 86,706,000 63,206,000 173,596,000 110,672,000
Operating Income (Loss) 21,339,000 17,061,000 45,135,000 32,384,000
Deferred revenue fair value adjustment $ 657,000 $ 2,029,000 $ 2,102,000 $ 2,029,000