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Intangible Assets, Net (Tables) | 6 Months Ended
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Jun. 30, 2024
Intangible Assets, Net |
Summary of intangible assets, net | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | June 30, 2024 | ​ | December 31, 2023
​ | 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 | 14.0 | ​ | $ | 751.5 | ​ | $ | (539.9) | ​ | $ | 716.0 | ​ | $ | (520.5)
Backlog of orders | 7.9 | ​ | ​ | 22.1 | ​ | ​ | (7.2) | ​ | ​ | 22.9 | ​ | ​ | (6.0)
Other | 9.3 | ​ | ​ | 10.2 | ​ | ​ | (9.5) | ​ | ​ | 10.0 | ​ | ​ | (9.5)
​ | ​ | ​ | ​ | 783.8 | ​ | ​ | (556.6) | ​ | ​ | 748.9 | ​ | ​ | (536.0)
Intangible assets not subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names | ​ | ​ | ​ | 809.0 | ​ | ​ | — | ​ | ​ | 768.2 | ​ | ​ | —
​ | ​ | ​ | $ | 1,592.8 | ​ | $ | (556.6) | ​ | $ | 1,517.1 | ​ | $ | (536.0)
Summary of estimated aggregate amortization expense | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ |  | (in millions)
2024 (remaining six months) | ​ | ​ | ​ | $ | 21.4
2025 | ​ | ​ | ​ | ​ | 38.9
2026 | ​ | ​ | ​ | ​ | 29.5
2027 | ​ | ​ | ​ | ​ | 28.8
2028 | ​ | ​ | ​ | ​ | 27.3
Thereafter | ​ | ​ | ​ | ​ | 81.3
​ | ​ | ​ | ​ | $ | 227.2
​

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