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Business Segment Information - Schedule of Reportable Segment Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Segment Reporting Information [Line Items]      
Total segment cost of goods sold $ 309,854,280 $ 284,048,570 $ 253,213,918
Total segment operating expenses 6,991,889 6,092,788 5,722,842
Total segment operating income 2,628,601 2,175,249 2,340,731
Total depreciation and amortization 1,051,075 1,091,974 963,904
Total capital expenditures 667,981 487,173 458,359
U.S. Healthcare Solutions      
Segment Reporting Information [Line Items]      
Total capital expenditures 399,518 273,715 268,069
International Healthcare Solutions      
Segment Reporting Information [Line Items]      
Total capital expenditures 268,463 213,458 190,290
Operating segments      
Segment Reporting Information [Line Items]      
Total segment cost of goods sold 310,117,957 284,217,555 253,161,448
Total segment operating income 4,222,973 3,648,256 3,289,121
Operating segments | U.S. Healthcare Solutions      
Segment Reporting Information [Line Items]      
Total segment cost of goods sold 283,076,597 258,916,313 228,938,102
Total segment operating expenses 4,330,727 3,488,237 3,224,557
Total segment operating income 3,574,699 2,934,877 2,596,559
Total depreciation and amortization 352,602 298,683 292,814
Operating segments | International Healthcare Solutions      
Segment Reporting Information [Line Items]      
Total segment cost of goods sold 27,050,982 25,306,564 24,227,832
Total segment operating expenses 2,667,067 2,607,599 2,498,285
Total segment operating income 648,274 713,379 692,562
Total depreciation and amortization 145,445 132,999 120,044
Segment reconciling items      
Segment Reporting Information [Line Items]      
Acquisition-related intangibles amortization 553,028 660,292 551,046
Intersegment eliminations      
Segment Reporting Information [Line Items]      
Total segment cost of goods sold (9,622) (5,322) (4,486)
Total segment operating expenses $ (5,905) $ (3,048) $ 0