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Intangible Assets
 9 Months Ended
Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Intangible Assets Intangible Assets
The gross carrying amount and accumulated amortization for intangible assets which are in our AMS segment consisted of the following ($ in millions):
 September 30, 2021
 Gross
Carrying
Amount		Accumulated
Amortization		Net
Carrying
Amount
Amortized Intangible Assets
Customer relationships$543.2 $110.8 $432.4 
Developed technology74.7 18.7 56.0 
Trade names19.0 2.3 16.7 
Non-compete agreements2.9 2.5 0.4 
Patents1.5 0.6 0.9 
Total$641.3 $134.9 $506.4 
Unamortized Intangible Assets
Trade names$20.1 $— $20.1 

 December 31, 2020
 Gross
Carrying
Amount		Accumulated
Amortization		Net
Carrying
Amount
Amortized Intangible Assets
Customer relationships
$343.9 $89.7 $254.2 
Developed technology42.4 14.2 28.2 
Trade names11.7 1.4 10.3 
Non-compete agreements2.9 2.4 0.5 
Patents1.5 0.5 1.0 
Total$402.4 $108.2 $294.2 
Unamortized Intangible Assets
Trade names
$20.5 $— $20.5 

Amortization expense of intangible assets was $11.2 million and $6.8 million for the three months ended September 30, 2021 and 2020, respectively, and $28.4 million and $18.1 million for the nine months ended September 30, 2021 and 2020, respectively. Finite-lived intangibles in the AMS segment are expensed using the straight-line
amortization method. The estimated average aggregate amortization expense is $44.3 million in each of the next five years.