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Stock-Based Compensation - Narrative (Details) - USD ($) $ / shares in Units, $ in Millions | 1 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2021 | Feb. 28, 2021 | Jan. 02, 2022 | Jan. 03, 2021 | Dec. 29, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Plan activity adjustment period - Evergreen provision |  |  | 5 years |  |
Number of shares available for grant (in shares) - Fixed provision |  |  | 2,900,000 |  |
Tax benefit |  |  | $ 0.8 | $ 0.4 | $ 1.3
Restricted Stock |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Award vesting period |  |  | 4 years |  |
Unrecognized compensation cost, unvested restricted stock |  |  | $ 5.9 |  |
Compensation cost not yet recognized, period for recognition |  |  | 1 year 10 months 24 days |  |
Grants in period (in dollars per share) |  |  | $ 20.91 | $ 15.97 | $ 24.76
Vested in period, fair value |  |  | $ 2.0 | $ 2.4 | $ 3.3
Granted (in shares) |  |  | 265,000 |  |
Weighted average grant date fair value (in dollars per share) |  |  | $ 21.24 | $ 22.74 |
Total nonvested shares (in shares) |  |  | 403,000 | 281,000 |
Performance Shares |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Granted (in shares) |  |  |  |  | 260,000
Performance Shares, Total Shareholder Return |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Unrecognized compensation cost, unvested restricted stock |  |  | $ 0.0 |  |
Compensation cost not yet recognized, period for recognition |  |  | 0 days |  |
Grants in period (in dollars per share) |  |  | $ 0 |  |
Vested in period, fair value |  |  | $ 0.0 |  |
Granted (in shares) |  |  | 0 |  |
Weighted average grant date fair value (in dollars per share) |  |  | $ 0 | $ 31.38 |
Total nonvested shares (in shares) |  |  | 0 | 47,000 |
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
Granted (in shares) |  |  |  | 115,000 | 53,000
Weighted average grant date fair value (in dollars per share) |  |  |  | $ 22.59 |
Performance Shares, Financial Goals |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Weighted average grant date fair value (in dollars per share) |  |  | $ 18.06 |  |
Performance Shares, Financial Measure |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Unrecognized compensation cost, unvested restricted stock |  |  | $ 8.7 |  |
Compensation cost not yet recognized, period for recognition |  |  | 3 years 6 months |  |
Grants in period (in dollars per share) |  |  | $ 18.06 |  |
Vested in period, fair value |  |  | $ 0.3 |  |
Granted (in shares) | 308,000 | 180,000 | 488,000 |  |
Weighted average grant date fair value (in dollars per share) |  |  | $ 20.03 | $ 22.40 | $ 25.54
Total nonvested shares (in shares) |  |  | 708,000 | 366,000 |
Actual Percentage Achieved |  |  | 30.00% |  |
Stock-based compensation cost |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Stock-based compensation cost |  |  | $ 5.1 | $ 3.9 | $ 5.6
Class A common stock |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Maximum number of shares available for grants - Evergreen provision |  |  | 15.00% |  |
Maximum number of shares available for grants - Fixed provision |  |  | 4,700,000 |  |
Performance shares eligible to earn more than target | Performance Shares |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Granted (in shares) |  |  |  |  | 207,000
Maximum shares eligible to earn | Performance Shares |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Granted (in shares) |  |  |  |  | 413,000
Maximum target percentage allowed under grant |  | 200.00% |  |  | 200.00%
2021 grant | Performance Shares |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Total nonvested shares (in shares) |  |  | 477,000 |  |
2020 grant | Performance Shares |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Total nonvested shares (in shares) |  |  | 104,000 |  |
2019 grant | Performance Shares |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |
Total nonvested shares (in shares) |  |  | 113,000 |  |

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