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Segments - Assets by Segment (Detail) - USD ($)
$ in Millions
Apr. 03, 2021
Jan. 02, 2021
Segment Reporting Information [Line Items]    
Assets $ 6,673.5 $ 6,557.3
Operating Segments    
Segment Reporting Information [Line Items]    
Assets 5,684.7 5,555.7
Operating Segments | Commercial & Industrial Group    
Segment Reporting Information [Line Items]    
Assets 1,174.0 1,210.4
Operating Segments | Snap-on Tools Group    
Segment Reporting Information [Line Items]    
Assets 771.1 775.3
Operating Segments | Repair Systems & Information Group    
Segment Reporting Information [Line Items]    
Assets 1,590.6 1,399.7
Operating Segments | Financial Services    
Segment Reporting Information [Line Items]    
Assets 2,149.0 2,170.3
Corporate    
Segment Reporting Information [Line Items]    
Assets 1,054.2 1,063.2
Elimination of intersegment receivables    
Segment Reporting Information [Line Items]    
Assets $ (65.4) $ (61.6)