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Intangible Assets, Net (Tables) | 6 Months Ended
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Jun. 30, 2025
Intangible Assets, Net |
Summary of intangible assets, net | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | June 30, 2025 | ​ | December 31, 2024
​ | 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 | ​ | $ | 755.1 | ​ | $ | (579.8) | ​ | $ | 753.4 | ​ | $ | (559.6)
Backlog of orders | 7.9 | ​ | ​ | 22.1 | ​ | ​ | (10.0) | ​ | ​ | 21.0 | ​ | ​ | (8.2)
Other | 9.3 | ​ | ​ | 10.2 | ​ | ​ | (9.7) | ​ | ​ | 10.2 | ​ | ​ | (9.6)
​ | ​ | ​ | ​ | 787.4 | ​ | ​ | (599.5) | ​ | ​ | 784.6 | ​ | ​ | (577.4)
Intangible assets not subject to amortization: | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
Trade names | ​ | ​ | ​ | 800.8 | ​ | ​ | — | ​ | ​ | 800.0 | ​ | ​ | —
​ | ​ | ​ | $ | 1,588.2 | ​ | $ | (599.5) | ​ | $ | 1,584.6 | ​ | $ | (577.4)
Schedule of carrying amount of intangible assets | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ |  | ​ | ​ |  | (in millions)
Balance as of January 1, 2025 | ​ | ​ | ​ | ​ | ​ | ​ | $ | 1,007.2
Amortization expense | ​ | ​ | ​ | ​ | ​ | ​ | ​ | (20.8)
Effect of foreign currency translation | ​ | ​ | ​ | ​ | ​ | ​ | ​ | 2.3
Balance as of June 30, 2025 | ​ | ​ | ​ | ​ | ​ | ​ | $ | 988.7
Summary of estimated aggregate amortization expense | ​
​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ |  | (in millions)
2025 (remaining six months) | ​ | ​ | ​ | $ | 18.4
2026 | ​ | ​ | ​ | ​ | 29.8
2027 | ​ | ​ | ​ | ​ | 29.1
2028 | ​ | ​ | ​ | ​ | 27.7
2029 | ​ | ​ | ​ | ​ | 25.5
Thereafter | ​ | ​ | ​ | ​ | 57.4
​ | ​ | ​ | ​ | $ | 187.9
​

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