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Intangible Assets, Net (Tables) | 12 Months Ended
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Dec. 31, 2023
Intangible Assets, Net |
Summary of intangible assets, net | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | December 31, 2023 | ​ | December 31, 2022
​ | Weighted Average | ​ | Gross | ​ | ​ | ​ | ​ | Gross | ​ | ​ | ​
​ | Amortizable | ​ | Carrying | ​ | Accumulated | ​ | Carrying | ​ | Accumulated
​ | Life in Years |  | Amount |  | Amortization |  | Amount |  | Amortization
​ | ​ | ​ | (in millions)
Intangible assets subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Customer lists/relationships | 14.2 | ​ | $ | 716.0 | ​ | $ | (520.5) | ​ | $ | 713.6 | ​ | $ | (479.3)
Backlog of orders | 7.9 | ​ | ​ | 22.9 | ​ | ​ | (6.0) | ​ | ​ | 22.3 | ​ | ​ | (3.1)
Other | 9.4 | ​ | ​ | 10.0 | ​ | ​ | (9.5) | ​ | ​ | 9.9 | ​ | ​ | (9.5)
​ | ​ | ​ | ​ | 748.9 | ​ | ​ | (536.0) | ​ | ​ | 745.8 | ​ | ​ | (491.9)
Intangible assets not subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names | ​ | ​ | ​ | 768.2 | ​ | ​ | — | ​ | ​ | 765.7 | ​ | ​ | —
​ | ​ | ​ | $ | 1,517.1 | ​ | $ | (536.0) | ​ | $ | 1,511.5 | ​ | $ | (491.9)
Summary of estimated aggregate amortization expense | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ |  | ​ | ​ |  | (in millions)
2024 | ​ | ​ | ​ | ​ | ​ | ​ | $ | 40.4
2025 | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 36.3
2026 | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 26.8
2027 | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 26.1
2028 | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 24.6
Thereafter | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 58.7
​ | ​ | ​ | ​ | ​ | ​ | ​ | $ | 212.9
​

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