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Intangible Assets and Goodwill (Tables)
6 Months Ended
Mar. 31, 2024
Goodwill and Intangible Assets Disclosure [Abstract]  
Schedule of Intangible Assets
The following table summarizes the carrying amounts and related accumulated amortization for intangible assets as of:

 March 31, 2024September 30, 2023
 CostAccumulated
Amortization
CostAccumulated
Amortization
Finite-lived assets:    
Customer relationships$1,294.8 $(331.4)$1,290.2 $(291.4)
Technology, including patents190.6 (91.5)192.3 (83.1)
Software54.5 (35.9)41.7 (31.7)
Trade names50.7 (7.5)41.9 (4.2)
 1,590.6 (466.3)1,566.1 (410.4)
Indefinite-lived assets:    
Trade names222.5 — 221.4 — 
Total$1,813.1 $(466.3)$1,787.5 $(410.4)
Schedule of Goodwill
The following table summarizes the changes in the Company’s goodwill, by reportable operating segment, for the six months ended March 31, 2024:
 Advanced Process SolutionsMolding Technology SolutionsTotal
Balance as of September 30, 2023$1,394.9 $633.2 $2,028.1 
Acquisition measurement period adjustments1.8 — 1.8 
Foreign currency adjustments11.0 3.6 14.6 
Balance as of March 31, 2024
$1,407.7 $636.8 $2,044.5