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Intangible Assets, Net (Tables) | 12 Months Ended
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Dec. 31, 2024
Intangible Assets, Net |
Summary of intangible assets, net | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | December 31, 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 | 13.9 | ​ | $ | 753.4 | ​ | $ | (559.6) | ​ | $ | 716.0 | ​ | $ | (520.5)
Backlog of orders | 7.9 | ​ | ​ | 21.0 | ​ | ​ | (8.2) | ​ | ​ | 22.9 | ​ | ​ | (6.0)
Other | 9.3 | ​ | ​ | 10.2 | ​ | ​ | (9.6) | ​ | ​ | 10.0 | ​ | ​ | (9.5)
​ | ​ | ​ | ​ | 784.6 | ​ | ​ | (577.4) | ​ | ​ | 748.9 | ​ | ​ | (536.0)
Intangible assets not subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names | ​ | ​ | ​ | 800.0 | ​ | ​ | — | ​ | ​ | 768.2 | ​ | ​ | —
​ | ​ | ​ | $ | 1,584.6 | ​ | $ | (577.4) | ​ | $ | 1,517.1 | ​ | $ | (536.0)
Schedule of carrying amount of intangible assets | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ |  | ​ | ​ |  | (in millions)
Balance at January 1, 2023 | ​ | ​ | ​ | ​ | ​ | ​ | $ | 1,019.6
Acquisition | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 3.9
Amortization expense | ​ | ​ | ​ | ​ | ​ | ​ | ​ | (43.8)
Effect of foreign currency translation | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 1.4
Balance at December 31, 2023 | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 981.1
Acquisitions | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 80.9
Amortization expense | ​ | ​ | ​ | ​ | ​ | ​ | ​ | (42.6)
Impairment | ​ | ​ | ​ | ​ | ​ | ​ | ​ | (11.2)
Other | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 2.2
Effect of foreign currency translation | ​ | ​ | ​ | ​ | ​ | ​ | ​ | (3.2)
Balance at December 31, 2024 | ​ | ​ | ​ | ​ | ​ | ​ | $ | 1,007.2
Summary of estimated aggregate amortization expense | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ |  | (in millions)
2025 | ​ | ​ | ​ | $ | 39.0
2026 | ​ | ​ | ​ | ​ | 29.5
2027 | ​ | ​ | ​ | ​ | 28.9
2028 | ​ | ​ | ​ | ​ | 27.4
2029 | ​ | ​ | ​ | ​ | 25.3
Thereafter | ​ | ​ | ​ | ​ | 57.1
​ | ​ | ​ | ​ | $ | 207.2
​

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