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Business Acquisitions - Purchase Price (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Apr. 02, 2023
Jan. 01, 2023
Oct. 02, 2022
Oct. 01, 2023
Oct. 02, 2022
Jan. 01, 2023
Business Acquisition [Line Items]            
Cash paid       $ 53.5 $ 11.9  
Goodwill Acquired       55.9    
ChartWorld            
Business Acquisition [Line Items]            
Cash paid $ 53.5     53.5    
Goodwill Acquired       55.9    
Acquired Intangible Assets       $ 11.3    
ETM            
Business Acquisition [Line Items]            
Cash paid   $ 87.7       $ 87.7
Goodwill Acquired           33.5
Acquired Intangible Assets   $ 20.9       $ 20.9
NL Acoustics            
Business Acquisition [Line Items]            
Interest acquired   80.00% 80.00%   80.00% 80.00%
Cash paid     $ 11.9     $ 11.9
Goodwill Acquired           11.7
Acquired Intangible Assets   $ 3.8       3.8
Total            
Business Acquisition [Line Items]            
Cash paid           99.6
Goodwill Acquired           45.2
Acquired Intangible Assets   $ 24.7       $ 24.7