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Other Intangible Assets (Tables)
12 Months Ended
Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Finite-Lived 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


Schedule of Finite-lived Intangible Assets Amortization Expense
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

Schedule of Finite-Lived Intangible Assets, Future Amortization Expense 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