Other Intangible Assets (Tables)

12 Months Ended

Sep. 30, 2021

Goodwill and Intangible Assets Disclosure [Abstract]

Schedule of Finite-Lived Intangible Assets

Intangible assets consist of the following:

		September 30, 2021
	Estimated Life (years)	Carrying Amount		Accumulated Amortization		Net
Amortizing intangible assets
Customer related	5 - 26	$	300,963	$	(101,272)	$	199,691
Proprietary technology	7 - 10	61,692		(36,921)		$	24,771
Trademark	5 - 15	27,195		(12,191)		$	15,004
Backlog	1	82,355		(82,355)		$	—
Other	3 - 10	47,903		(31,501)		$	16,402
Total amortizing intangible assets		$	520,108	$	(264,240)	$	255,868
Indefinite‑lived intangible assets		34,207		—		$	34,207
Total intangible assets		$	554,315	$	(264,240)	$	290,075

		September 30, 2020
	Estimated Life (years)	Carrying Amount		Accumulated Amortization		Net
Amortizing intangible assets
Customer related	5 - 26	$	292,316	$	(83,486)	$	208,830
Proprietary technology	7 - 10	61,990		(30,886)		$	31,104
Trademark	5 - 15	27,114		(9,142)		$	17,972
Backlog	1	82,181		(82,181)		$	—
Other	3	39,010		(21,156)		$	17,854
Total amortizing intangible assets		$	502,611	$	(226,851)	$	275,760
Indefinite‑lived intangible assets		34,207		—		$	34,207
Total intangible assets		$	536,818	$	(226,851)	$	309,967

Schedule of Finite-lived Intangible Assets Amortization Expense

For the amortizing intangible assets, the remaining weighted-average amortization period at September 30, 2021 was as follows:

	Years
Customer-related intangibles	9
Proprietary technology	4
Trademarks	6
Other	2
Aggregate net intangible assets	6

Schedule of Finite-Lived Intangible Assets, Future Amortization Expense

The estimated future amortization expense is as follows:

2022	$	36,702
2023	33,086
2024	27,616
2025	22,703
2026	19,904
Thereafter	115,857
Total	$	255,868