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Segment Information - Summary of Consolidated Earnings Before Income Taxes (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Segment Reporting Information [Line Items]      
Interest expense, net $ (41,500) $ (41,501) $ (45,147)
Consolidated earnings before income taxes 521,411 453,971 275,768
Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Reportable segment operating profit 689,137 615,217 451,726
Unallocated Corporate [Member]      
Segment Reporting Information [Line Items]      
Nonsegment expenses $ (126,226) $ (119,745) $ (130,811)