Stock-Based Compensation - Narrative (Details) $ / shares in Units, $ in Millions	1 Months Ended	12 Months Ended
	Dec. 31, 2021 shares	Dec. 31, 2023 USD ($) period $ / shares shares	Jan. 01, 2023 USD ($) period $ / shares shares	Jan. 02, 2022 USD ($) period $ / shares shares	Jan. 03, 2021 $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares available for grant (in shares) - Fixed provision		2,000,000
Tax benefit | $		$ 1.7	$ 1.1	$ 0.8
Restricted Stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost, unvested | $		$ 10.2
Compensation cost not yet recognized, period for recognition		1 year 6 months
Grants in period (in dollars per share) | $ / shares		$ 17.33	$ 20.16	$ 20.91
Vested in period, fair value | $		$ 3.3	$ 2.3	$ 2.0
Granted (in shares)		484,000
Weighted average grant date fair value (in dollars per share) | $ / shares		$ 18.52	$ 20.27
Total nonvested shares (in shares)		784,000	607,000
Restricted Stock | Minimum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		3 years
Restricted Stock | Maximum
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		4 years
Performance Shares, Single Financial Goal
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		4 years	4 years	4 years	4 years
Performance Shares, Financial Measure
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation cost, unvested | $		$ 3.7
Compensation cost not yet recognized, period for recognition		1 year 4 months 24 days
Grants in period (in dollars per share) | $ / shares		$ 15.18
Vested in period, fair value | $		$ 3.4	$ 0.9	$ 0.3
Granted (in shares)		246,000
Weighted average grant date fair value (in dollars per share) | $ / shares		$ 17.49	$ 19.41
Total nonvested shares (in shares)		674,000	692,000
Stock-based compensation cost
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation cost | $		$ 9.7	$ 7.8	$ 5.1
Class A common stock
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Maximum number of shares available for grants - Fixed provision		4,700,000
2020 grant | Performance Shares, Single Financial Goal
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period					1 year
Granted (in shares)					115,000
Weighted average grant date fair value (in dollars per share) | $ / shares					$ 22.59
Total nonvested shares (in shares)		48,000
2021 grant | Performance Shares, Financial Measure
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period				1 year
Granted (in shares)	308,000			180,000
Share-based compensation arrangement by share-based payment award, number of vesting performance periods | period				3
Percentage of target achieved		0.50
Weighted average grant date fair value (in dollars per share) | $ / shares		$ 17.66
Total nonvested shares (in shares)		224,000
2021 grant | Maximum shares eligible to earn | Performance Shares, Financial Measure
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Maximum target percentage allowed under grant				200.00%
2022 grant | Performance Shares, Financial Measure
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period			1 year
Granted (in shares)			186,000
Share-based compensation arrangement by share-based payment award, number of vesting performance periods | period			3
Percentage of target achieved		0.50
Weighted average grant date fair value (in dollars per share) | $ / shares		$ 19.29
Total nonvested shares (in shares)		178,000
2022 grant | Maximum shares eligible to earn | Performance Shares, Financial Measure
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Maximum target percentage allowed under grant		200.00%
2023 grant | Performance Shares, Financial Measure
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Award vesting period		1 year
Granted (in shares)		246,000
Share-based compensation arrangement by share-based payment award, number of vesting performance periods | period		3
Percentage of target achieved		0.50
Weighted average grant date fair value (in dollars per share) | $ / shares		$ 15.18
Total nonvested shares (in shares)		224,000
2023 grant | Maximum shares eligible to earn | Performance Shares, Financial Measure
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Maximum target percentage allowed under grant		200.00%