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Business Segments and Geographic Information - Schedule of Information on Company's Business Segments (Details) - USD ($)
 3 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Segment Reporting Information [Line Items]    
Revenues $ 814,300,000 $ 800,500,000
Adjusted segment cost of sales (445,400,000) (443,100,000)
Adjusted segment cost of sales (445,400,000) (440,600,000)
Interest expense - net (16,100,000) (9,400,000)
Depreciation (18,400,000) (16,200,000)
Amortization of intangible assets (31,500,000) (24,600,000)
Fair value inventory step-up charges 0 (2,500,000)
Restructuring expenses and asset impairments (17,500,000) (1,100,000)
Income before income taxes 124,500,000 154,500,000
STC,LLC    
Segment Reporting Information [Line Items]    
Inventory adjustment 0 2,500,000
FMT    
Segment Reporting Information [Line Items]    
Revenues 290,200,000 313,500,000
HST    
Segment Reporting Information [Line Items]    
Revenues 340,100,000 309,400,000
FSDP    
Segment Reporting Information [Line Items]    
Revenues 184,000,000.0 177,600,000
Operating segments    
Segment Reporting Information [Line Items]    
Revenues 816,300,000 801,800,000
Adjusted segment cost of sales (447,400,000) (441,900,000)
Other segment expenses (132,000,000.0) (121,700,000)
Segment Adjusted EBITDA 236,900,000 238,200,000
Depreciation (18,300,000) (16,000,000.0)
Operating segments | FMT    
Segment Reporting Information [Line Items]    
Revenues 290,500,000 313,700,000
Adjusted segment cost of sales (146,300,000) (160,000,000.0)
Other segment expenses (48,900,000) (48,300,000)
Segment Adjusted EBITDA 95,300,000 105,400,000
Depreciation (4,400,000) (4,300,000)
Amortization of intangible assets (5,300,000) (5,300,000)
Operating segments | HST    
Segment Reporting Information [Line Items]    
Revenues 341,500,000 310,100,000
Adjusted segment cost of sales (201,200,000) (184,300,000)
Other segment expenses (52,900,000) (44,400,000)
Segment Adjusted EBITDA 87,400,000 81,400,000
Depreciation (11,700,000) (9,400,000)
Amortization of intangible assets (24,600,000) (17,700,000)
Operating segments | FSDP    
Segment Reporting Information [Line Items]    
Revenues 184,300,000 178,000,000.0
Adjusted segment cost of sales (99,900,000) (97,600,000)
Other segment expenses (30,200,000) (29,000,000.0)
Segment Adjusted EBITDA 54,200,000 51,400,000
Depreciation (2,200,000) (2,300,000)
Amortization of intangible assets (1,600,000) (1,600,000)
Eliminations    
Segment Reporting Information [Line Items]    
Revenues (2,000,000.0) (1,300,000)
Adjusted segment cost of sales 2,000,000.0 1,300,000
Eliminations | FMT    
Segment Reporting Information [Line Items]    
Revenues (300,000) (200,000)
Eliminations | HST    
Segment Reporting Information [Line Items]    
Revenues (1,400,000) (700,000)
Eliminations | FSDP    
Segment Reporting Information [Line Items]    
Revenues (300,000) (400,000)
Corporate/Other    
Segment Reporting Information [Line Items]    
Segment Adjusted EBITDA (28,900,000) (29,900,000)
Depreciation (100,000) (200,000)
Amortization of intangible assets $ (31,500,000) $ (24,600,000)