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Stock-Based Compensation and Other Stock Plans - Performance Share Unit and Restricted Stock Unit Awards Narrative (Details) - USD ($) $ / shares in Units, $ in Millions |  | 12 Months Ended
--- | --- | ---
Jan. 02, 2021 | Jan. 01, 2022 | Jan. 02, 2021 | Dec. 28, 2019
Performance Awards |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |  |
Weighted average contractual term (in years) |  | 3 years |  |
Maximum stock percentage to be awarded |  | 100.00% |  |
Performance period for awards granted (in years) |  | 3 years |  |
Weighted-average grant date fair value granted (in dollars per share) |  | $ 184.32 | $ 155.34 | $ 155.92
Shares vested (in shares) |  | 46,343 | 0 | 21,183
Performance awards shares paid out |  | 0 | 21,183 | 32,114
Time-based RSUs |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |  |
Weighted average contractual term (in years) |  | 3 years |  |
Awards granted vesting period (in years) |  | 3 years |  |
Shares granted (in shares) |  | 32,265 |  |
Performance-based RSUs |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |  |
Performance period for awards granted (in years) | 1 year |  |  |
Awards granted vesting period (in years) | 2 years |  |  |
Shares granted (in shares) |  |  | 0 | 0
Nonvested PSUs and RSUs |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items] |  |  |  |
Weighted-average grant date fair value granted (in dollars per share) |  | $ 184.32 |  |
Shares vested (in shares) |  | 46,000 |  |
Shares granted (in shares) |  | 188,000 |  |
Unrecognized compensation cost related to non-vested award |  | $ 22.9 |  |
Cost expected to be recognized over weighted-average period (in years) |  | 1 year 4 months 24 days |  |

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