Shareholders' Deficit - Additional Information (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
Jan. 02, 2021	Dec. 29, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Proceeds from stock options exercised	$ 9.6
Tax benefit from exercise of stock options	3.5
Stock Options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense related to non-vested awards	$ 2.9
Weighted average period to recognize remaining expense over	1 year 9 months 18 days
Time- Based Stock Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense related to non-vested awards	$ 6.8
Weighted average period to recognize remaining expense over	1 year 8 months 12 days
Performance-based stock award, granted (in shares)	309,000
Weighted-average grant date fair value (in dollars per share)	$ 30.80
Performance- Based Stock Awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense related to non-vested awards	$ 13.5
Weighted average period to recognize remaining expense over	1 year 9 months 18 days
Performance-based stock award, granted (in shares)	291,000
Weighted-average grant date fair value (in dollars per share)	$ 32.28
Performance-Based Stock Award with a Market Condition
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Performance-based stock award, granted (in shares)		5,027
Weighted-average grant date fair value (in dollars per share)		$ 35.97

Amount of cost not yet recognized for nonvested award under share-based payment arrangement.

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