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Segment Information (Schedule Of Revenue By Segment, Product, And Region) (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 30, 2019
Jun. 30, 2018
Jun. 30, 2017
Net revenue $ 2,606.6 $ 2,340.2 $ 2,066.7
U.S., Canada and Latin America [Member]      
Net revenue 1,696.3 1,447.1 1,310.1
Global [Member]      
Net revenue 2,606.6 2,340.2 2,066.7
Total Sleep And Respiratory Care [Member] | Combined Europe, Asia And Other Markets [Member]      
Net revenue 910.3 893.1 756.6
Operating Segments [Member] | Devices [Member] | U.S., Canada and Latin America [Member]      
Net revenue 743.1 689.6 632.7
Operating Segments [Member] | Devices [Member] | Combined Europe, Asia And Other Markets [Member]      
Net revenue 618.5 614.0 528.3
Operating Segments [Member] | Devices [Member] | Global [Member]      
Net revenue 1,361.6 1,303.6 1,161.0
Operating Segments [Member] | Masks And Other [Member] | U.S., Canada and Latin America [Member]      
Net revenue 677.4 600.5 539.3
Operating Segments [Member] | Masks And Other [Member] | Combined Europe, Asia And Other Markets [Member]      
Net revenue 291.8 279.1 228.3
Operating Segments [Member] | Masks And Other [Member] | Global [Member]      
Net revenue 969.2 879.6 767.6
Operating Segments [Member] | Total Sleep And Respiratory Care [Member] | U.S., Canada and Latin America [Member]      
Net revenue 1,420.5 1,290.1 1,172.0
Operating Segments [Member] | Total Sleep And Respiratory Care [Member] | Global [Member]      
Net revenue 2,330.8 2,183.2 1,928.6
Operating Segments [Member] | Software As A Service [Member] | U.S., Canada and Latin America [Member]      
Net revenue 275.8 157.0 138.1
Operating Segments [Member] | Software As A Service [Member] | Global [Member]      
Net revenue $ 275.8 $ 157.0 $ 138.1