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Goodwill and Other Intangible Assets - Additional Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Goodwill and Other Intangible Assets
Asset Impairment Charges	$ 0
Amortization expense related to intangible assets	53,317	$ 32,804	$ 28,953
2026	80,000
2027	67,000
2028	46,000
2029	36,000
2030	$ 36,000
Weighted-average amortization period	12 years
Patents \| Maximum
Goodwill and Other Intangible Assets
Expected remaining useful life	20 years
Patents \| Minimum
Goodwill and Other Intangible Assets
Expected remaining useful life	10 years
Capitalized software \| Maximum
Goodwill and Other Intangible Assets
Expected remaining useful life	7 years
Capitalized software \| Minimum
Goodwill and Other Intangible Assets
Expected remaining useful life	3 years
Customer relationships \| Maximum
Goodwill and Other Intangible Assets
Expected remaining useful life	20 years
Customer relationships \| Minimum
Goodwill and Other Intangible Assets
Expected remaining useful life	13 years