Receivables - Narrative (Detail) $ in Millions	12 Months Ended
	Jan. 02, 2021 USD ($) portfolioSegment	Dec. 28, 2019 USD ($)	Dec. 29, 2018 USD ($)
Accounts, Notes, Loans and Financing Receivable [Line Items]
Financing receivable, allowance for credit loss		$ (67.5)
Minimum payment term for trade and other accounts receivable (in days)	30 days
Maximum payment term for trade and other accounts receivable (in days)	120 days
Average payment term for finance receivables (in years)	4 years
Average payment term for contract receivables (in years)	10 years
Number of portfolio segments | portfolioSegment	2
Minimum period past due to consider receivable balances as delinquent (in days)	30 days
Minimum period past due to declare receivable as non-accrual status (in days)	90 days
Cumulative Effect, Period of Adoption, Adjustment | Accounting Standards Update 2016-13
Accounts, Notes, Loans and Financing Receivable [Line Items]
Financing receivable, allowance for credit loss		(8.1)
Financing Receivables
Accounts, Notes, Loans and Financing Receivable [Line Items]
Financing receivable, allowance for credit loss	$ (76.3)	(61.9)	$ (61.4)
Financing receivable, threshold period after asset repossession, writeoff	60 days
Financing receivable, threshold period past due, writeoff	120 days
Contract Receivables
Accounts, Notes, Loans and Financing Receivable [Line Items]
Financing receivable, allowance for credit loss	$ (9.0)	$ (5.6)	$ (4.3)
Contract Receivables | Non-Franchisee
Accounts, Notes, Loans and Financing Receivable [Line Items]
Financing receivable, threshold period past due, writeoff	150 days
Contract Receivables | Franchisee
Accounts, Notes, Loans and Financing Receivable [Line Items]
Financing receivable, threshold period past due, writeoff	180 days
Financing Receivable And Loans Receivable, Customer Bankruptcy [Member]
Accounts, Notes, Loans and Financing Receivable [Line Items]
Financing receivable, threshold period past due, writeoff	180 days