Shareholder's Equity and Equity-based Compensation - Additional Information (Details)		1 Months Ended			3 Months Ended		9 Months Ended
	Sep. 28, 2024 USD ($) $ / shares shares	Feb. 28, 2023 USD ($) Participant	May 31, 2022	Feb. 28, 2022 shares	Sep. 28, 2024 USD ($) $ / shares shares	Sep. 30, 2023 USD ($) shares	Sep. 28, 2024 USD ($) $ / shares shares	Sep. 30, 2023 USD ($) shares	Mar. 31, 2024 $ / shares	Dec. 30, 2023 USD ($) $ / shares
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Weighted average fair value nonvested | $ / shares	$ 21.05				$ 21.05		$ 21.05			$ 21.13
Granted | shares					0	0	0	0
Total grant date fair value of the units vested					$ 0	$ 0		$ 600,000
Repurchase liabilities paid					0	0		0
Equity-based compensation expense							$ 22,316,000	13,873,000
Income tax benefit					800,000	900,000	2,000,000	3,700,000
Selling, General and Administrative Expenses
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Equity-based compensation expense					$ 3,200,000	3,400,000	22,300,000	13,900,000
Maximum
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Total grant date fair value of the units vested							100,000
Repurchase liabilities paid							$ 100,000
2022 Incentive Award Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Aggregate number of shares available for issuance | shares				107,800,000
Percentage of shares outstanding considered for annual increase of shares available for issuance				4.00%
Plan term							In February 2022, the Company's Board of Directors (the "Board") approved the 2022 Plan which provides the Company authorization to grant stock options, stock appreciation rights, restricted stock, restricted stock units ("RSUs"), dividend equivalents, or other stock or cash-based awards to certain service providers which are defined as employees, consultants, or directors (collectively, “Participants") pursuant to the terms and conditions of the 2022 Plan.
Class A-1 Units | PIUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Number of units authorized | shares	7,500,000				7,500,000		7,500,000
Class B-1 Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Unrecognized equity-based compensation expense	$ 9,400,000				$ 9,400,000		$ 9,400,000
Weighted-average period to recognize expense	1 year 1 month 6 days
Class B-1 Units | PIUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period							4 years
Vesting percentage							25.00%
Class B-2 Units | PIUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Performance-based vesting compensation expense	$ 0				0	0	$ 0	0
Weighted average fair value nonvested | $ / shares									$ 1.89
Class B-3 Units | PIUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Performance-based vesting compensation expense	0				0	$ 0	0	0
Weighted average fair value nonvested | $ / shares									$ 1.68
Class B-2 and Class B-3 Unit
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Unrecognized equity-based compensation expense	$ 96,600,000				96,600,000		96,600,000
PIU
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Equity-based compensation expense								$ 14,300,000
Allocated shared based compensation					$ 0		4,700,000
PIU | Selling, General and Administrative Expenses
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Allocated shared based compensation							$ 4,700,000
PIU | Class B-1 Units | PIUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Number of units authorized | shares	31,600,000				31,600,000		31,600,000
Weighted average fair value nonvested | $ / shares	$ 0.45				$ 0.45		$ 0.45			0.43
PIU | Class B-2 Units | PIUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Number of units authorized | shares	31,600,000				31,600,000		31,600,000
Weighted average fair value nonvested | $ / shares	$ 0.35				$ 0.35		$ 0.35			0.35
PIU | Class B-3 Units | PIUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Number of units authorized | shares	23,700,000				23,700,000		23,700,000
Weighted average fair value nonvested | $ / shares	$ 0.29				$ 0.29		$ 0.29			$ 0.29
PIU | Class B-2 and Class B-3 Unit | Selling, General and Administrative Expenses
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Allocated shared based compensation							$ 9,600,000
Stock Options
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period							3 years
Vesting percentage							25.00%
Stock Options | 2022 Stock Option Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period			3 years
Fixed expiration period							10 years
Terms of stock option							Stock options have fixed 10-year terms and will expire and become unexercisable after the earliest of: (i) the tenth anniversary of the grant date, (ii) the ninetieth day following the Participant's termination of service for any reason other than due to death, disability, qualifying retirement, or for cause, (iii) immediately upon the termination of service of the Participant for cause, or (iv) the expiration of twelve months from the Participant's termination of service due to death or disability.
Options granted | shares					0	0	0	0
Fair value of stock vested					$ 600,000	$ 800,000	$ 4,200,000	$ 8,900,000
Cash paid to settle vested stock options					0	$ 0		$ 0
Stock Options | 2022 Stock Option Plan | Other Current Liabilities
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Stock option, current	$ 12,400,000				12,400,000		12,400,000			$ 8,100,000
Stock Options | 2022 Stock Option Plan | Other Long-term Liabilities
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Stock option, noncurrent	100,000				$ 100,000		100,000			300,000
Stock Options | 2022 Stock Option Plan | Maximum
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Cash paid to settle vested stock options							$ 100,000
RSUs
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period							3 years
Vesting percentage							25.00%
RSUs | 2022 RSUs Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period			3 years
Granted | shares					0	0	0	0
Total grant date fair value of the units vested					$ 600,000	$ 900,000	$ 4,700,000	$ 7,900,000
Number of participants impacted by the plan modification | Participant		100
Effect of remeasured at fair value		$ 6,800,000
Allocation of share based compensation accelerated costs		$ 600,000
RSUs | 2022 RSUs Plan | Independent Board Members
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting period			1 year
RSUs | 2022 RSUs Plan | Other Current Liabilities
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Cash settled RSU liabilities	1,900,000				1,900,000		1,900,000			2,200,000
RSUs | 2022 RSUs Plan | Other Long-term Liabilities
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Cash settled RSU liabilities	$ 100,000				$ 100,000		$ 100,000			$ 400,000