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Franchise Rights Acquired, Goodwill and Other Intangible Assets - Change in Carrying Amount of Goodwill (Detail) - USD ($)
 9 Months Ended 12 Months Ended
May 08, 2022
May 09, 2021
Oct. 01, 2022
Jan. 01, 2022
Goodwill [Line Items]        
Beginning balance     $ 157,374,000 $ 155,617,000
Goodwill acquired during the period     5,936,000 2,153,000
Goodwill impairment $ 0 $ 0 (1,101,000)  
Effect of exchange rate changes     (6,054,000) (396,000)
Ending balance     156,155,000 157,374,000
North America        
Goodwill [Line Items]        
Beginning balance     147,530,000 145,071,000
Goodwill acquired during the period       2,153,000
Goodwill impairment     (1,101,000)  
Effect of exchange rate changes     (3,651,000) 306,000
Ending balance     142,778,000 147,530,000
Continental Europe        
Goodwill [Line Items]        
Beginning balance     7,186,000 7,792,000
Effect of exchange rate changes     (1,152,000) (606,000)
Ending balance     6,034,000 7,186,000
United Kingdom        
Goodwill [Line Items]        
Beginning balance     1,254,000 1,268,000
Goodwill acquired during the period     5,936,000  
Effect of exchange rate changes     (1,084,000) (14,000)
Ending balance     6,106,000 1,254,000
Other        
Goodwill [Line Items]        
Beginning balance     1,404,000 1,486,000
Effect of exchange rate changes     (167,000) (82,000)
Ending balance     $ 1,237,000 $ 1,404,000