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Segments - Assets by Segment (Detail) - USD ($)
$ in Millions
Jan. 02, 2021
Dec. 28, 2019
Segment Reporting Information [Line Items]    
Assets $ 6,557.3 $ 5,693.5
Operating Segments    
Segment Reporting Information [Line Items]    
Assets 5,555.7 5,452.1
Operating Segments | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Assets 1,210.4 1,138.8
Operating Segments | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Assets 775.3 827.4
Operating Segments | Repair Systems  & Information Group    
Segment Reporting Information [Line Items]    
Assets 1,399.7 1,381.9
Operating Segments | Financial Services    
Segment Reporting Information [Line Items]    
Assets 2,170.3 2,104.0
Corporate    
Segment Reporting Information [Line Items]    
Assets 1,063.2 303.1
Intersegment eliminations    
Segment Reporting Information [Line Items]    
Assets $ (61.6) $ (61.7)