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Intangible Assets and Goodwill (Tables)
 12 Months Ended
Dec. 31, 2021
Goodwill and Intangible Assets Disclosure [Abstract]  
Carrying amount of intangible assets
The following table summarizes the carrying amount of intangible assets as of December 31, 2021 and 2020:
 As of December 31,
 20212020
 (Dollars in millions)
Acquired contractual rights$48.0 $107.9 
Acquired trademarks— 1.2 
Accumulated amortization(26.4)(77.2)
Finite-lived intangible assets, net21.6 31.9 
Goodwill13.3 16.8 
Intangible assets, net$34.9 $48.7 
Schedule of estimated amortization expense The following table summarizes the expected amortization expense for 2022 through 2026 and thereafter (Dollars in millions):
2022$6.1 
20233.9 
20243.9 
20253.9 
20263.8 
Thereafter— 
$21.6