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Other Intangible Assets
 12 Months Ended
Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Other Intangible Assets Other Intangible Assets
Intangible assets consist of the following:
 
 
 
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

 
 
 
September 30, 2019
 
Estimated Life
(years)
 
Carrying
Amount
 
Accumulated
Amortization
 
Net
Amortizing intangible assets
 
 
 
 
 
 
 
Customer related
5 ‑ 26
 
$
290,407

 
$
(64,548
)
 
$
225,859

Proprietary technology
10
 
50,725

 
(24,187
)
 
$
26,538

Trademark
10 - 15
 
26,432

 
(6,245
)
 
$
20,187

Backlog
1
 
81,834

 
(81,834
)
 
$
—

Other
3
 
22,868

 
(14,892
)
 
$
7,976

Total amortizing intangible assets 
 
 
$
472,266

 
$
(191,706
)
 
$
280,560

Indefinite‑lived intangible assets
 
 
34,207

 
—

 
$
34,207

Total intangible assets
 
 
$
506,473

 
$
(191,706
)
 
$
314,767


The Company’s indefinite-lived intangible asset relate to Federal hazardous waste treatment management permits obtained for locations operated by the Integrated Solutions and Services segment. The permits are considered perpetually renewable. The Company performs an indefinite-lived intangible asset impairment analysis on an annual basis during the fourth quarter of the year and whenever events or changes in circumstances indicate that the carrying value may not be recoverable. The Company assessed the carrying value of the permits at the Integrated Solutions and Services segment as of July 1, 2020 using a quantitative analysis outlined in ASU No. 2012-02 to determine whether the existence of events or circumstances would lead to the conclusion that it is more likely than not that the fair values of the permits are less than the carrying amounts. Events and circumstances considered in this review included macroeconomic conditions, new competition, financial performance of the entities which utilizes the permits and other financial and non-financial events. Based on these factors, the Company concluded the fair value of the permits were not more likely than not less than the carrying amounts.
For the amortizing intangible assets, the remaining weighted-average amortization period at September 30, 2020 was as follows:

Years
Customer-related intangibles
10
Proprietary technology
5
Trademarks
7
Other
3
Aggregate net intangible assets
7

Intangible asset amortization was $34,266, $32,205 and $26,843 for the years ended September 30, 2020, 2019 and 2018, respectively. The estimated future amortization expense is as follows:
 
 
2021
$
34,469

2022
34,241

2023
30,728

2024
24,505

2025
19,940

Thereafter
131,877

Total
$
275,760