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Segments - Assets by Segment (Detail) - USD ($)
$ in Millions
Dec. 31, 2022
Jan. 01, 2022
Segment Reporting Information [Line Items]    
Assets $ 6,972.8 $ 6,759.7
Operating Segments    
Segment Reporting Information [Line Items]    
Assets 6,079.5 5,788.6
Operating Segments | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Assets 1,245.8 1,209.3
Operating Segments | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Assets 912.9 791.4
Operating Segments | Repair Systems  & Information Group    
Segment Reporting Information [Line Items]    
Assets 1,678.1 1,624.3
Operating Segments | Financial Services    
Segment Reporting Information [Line Items]    
Assets 2,242.7 2,163.6
Corporate    
Segment Reporting Information [Line Items]    
Assets 972.9 1,039.7
Intersegment eliminations    
Segment Reporting Information [Line Items]    
Assets $ (79.6) $ (68.6)