Subsequent Events - Additional Information (Details)							1 Months Ended	3 Months Ended		9 Months Ended
	Oct. 30, 2024 USD ($)	Oct. 15, 2024 USD ($)	Oct. 10, 2024 USD ($) $ / shares shares	Oct. 09, 2024 USD ($) $ / shares shares	Oct. 08, 2024 USD ($) $ / shares shares	Sep. 20, 2024 Participant shares	Apr. 30, 2024 USD ($)	Sep. 28, 2024 USD ($) $ / shares shares	Sep. 30, 2023 shares	Sep. 28, 2024 USD ($) $ / shares shares	Sep. 30, 2023 USD ($) shares	Mar. 30, 2024 USD ($)	Dec. 30, 2023 USD ($) $ / shares shares
Subsequent Event [Line Items]
Underwriting discounts and commissions | $										$ 1,725,000
Common stock, shares outstanding | shares								90,366,089		90,366,089			90,366,089
Common stock, par value | $ / shares								$ 0.01		$ 0.01			$ 0.01
Common stock, shares authorized | shares								200,000,000		200,000,000			200,000,000
Granted | shares								0	0	0	0
Line of credit facility, remaining borrowing capacity | $								$ 104,200,000		$ 104,200,000			$ 87,500,000
Debt issuance costs | $								66,504,000		66,504,000			71,463,000
Loss on extinguishment of debt | $										$ (900,000)	$ (4,400,000)
First Lien Revolving Credit Facility
Subsequent Event [Line Items]
Line of credit facility, current borrowing capacity | $							$ 115,000,000
First Lien Term Loan Facility
Subsequent Event [Line Items]
Variable interest rate							4.50%			5.00%
Letter of Credit
Subsequent Event [Line Items]
Line of credit facility, maximum borrowing capacity | $								$ 55,800,000		$ 55,800,000			$ 72,500,000
Subsequent Event
Subsequent Event [Line Items]
Net proceeds | $		$ 81,700,000			$ 544,300,000
Common stock, par value | $ / shares					$ 0.01
Preferred stock, shares authorized | shares					25,000,000
Common stock, shares authorized | shares					750,000,000
Preferred stock, par value | $ / shares					$ 0.01
Common stock, convertible ratio					8.375
Subsequent Event | First Lien Term Loan Facility
Subsequent Event [Line Items]
Repayment of outstanding principal | $	$ 608,000,000
Variable interest rate	3.25%
Debt instrument, principal amount | $	$ 966,800,000
Subsequent Event | First Lien Revolving Credit Facility Amendment
Subsequent Event [Line Items]
Line of credit facility, maximum borrowing capacity | $			$ 225,000,000
Line of credit facility, remaining borrowing capacity | $			15,000,000
Line of credit facility, increased in borrowing capacity | $			172,500,000
Line of credit facility, commitment fee | $				$ 145,000,000
RSUs
Subsequent Event [Line Items]
Vesting period										3 years
Stock Options
Subsequent Event [Line Items]
Vesting period										3 years
Common Stock | Subsequent Event
Subsequent Event [Line Items]
Conversion of common stock shares | shares					90,366,089
Class A Common Stock | Subsequent Event
Subsequent Event [Line Items]
Common stock, shares outstanding | shares					756,816,836
Common stock, par value | $ / shares					$ 0.0001
Maximum | First Lien Revolving Credit Facility
Subsequent Event [Line Items]
Debt instrument effective interest rate							4.50%	5.00%		5.00%
Maximum | First Lien Term Loan Facility
Subsequent Event [Line Items]
Debt instrument, principal amount | $												$ 3,300,000
Maximum | Letter of Credit | First Lien Term Loan Facility
Subsequent Event [Line Items]
Letters of credit interest							4.50%			5.00%
Maximum | Subsequent Event | First Lien Revolving Credit Facility
Subsequent Event [Line Items]
Debt instrument effective interest rate	3.25%
Maximum | Subsequent Event | First Lien Revolving Credit Facility Amendment
Subsequent Event [Line Items]
Line of credit facility, current borrowing capacity | $			240,000,000
Maximum | Subsequent Event | Letter of Credit | First Lien Term Loan Facility
Subsequent Event [Line Items]
Letters of credit interest	3.25%
Minimum | First Lien Revolving Credit Facility
Subsequent Event [Line Items]
Debt instrument effective interest rate							4.00%	4.50%		4.50%
Minimum | First Lien Term Loan Facility
Subsequent Event [Line Items]
Debt instrument, principal amount | $												$ 4,000,000
Minimum | Letter of Credit | First Lien Term Loan Facility
Subsequent Event [Line Items]
Letters of credit interest							4.00%			4.50%
Minimum | Subsequent Event | First Lien Revolving Credit Facility
Subsequent Event [Line Items]
Debt instrument effective interest rate	2.75%
Minimum | Subsequent Event | First Lien Term Loan Facility
Subsequent Event [Line Items]
Debt instrument, principal amount | $	$ 2,400,000
Minimum | Subsequent Event | First Lien Revolving Credit Facility Amendment
Subsequent Event [Line Items]
Line of credit facility, current borrowing capacity | $			$ 80,000,000
Minimum | Subsequent Event | Letter of Credit | First Lien Term Loan Facility
Subsequent Event [Line Items]
Letters of credit interest	2.75%
Modification of 2022 Plan
Subsequent Event [Line Items]
Aggregate number of shares available for issuance | shares						15,666,912
Percentage of shares outstanding						4.00%
Modification of 2022 Plan | RSUs
Subsequent Event [Line Items]
Number of participants impacted by the plan modification | Participant						119
2024 Employee Stock Purchase Plan | Subsequent Event
Subsequent Event [Line Items]
Percentage of shares outstanding				1.00%
Shares of common stock reserved for issuance | shares				2,287,321,000,000
2024 Employee Stock Purchase Plan | Minimum | Subsequent Event
Subsequent Event [Line Items]
Shares of common stock reserved for issuance | shares				5,567,177,000,000
PIUs Plan | Subsequent Event
Subsequent Event [Line Items]
Common stock held | shares					90,366,089
Sale of stock, price per share | $ / shares					$ 24
PIUs Plan | Parent | Subsequent Event
Subsequent Event [Line Items]
Common shares distributed upon change in ownership | shares					90,366,089
IPO | Subsequent Event
Subsequent Event [Line Items]
Number of shares issued and sold | shares					24,000,000
Sale of stock, price per share | $ / shares					$ 22.68
Offering price per share | $ / shares			$ 24		24
Offering costs | $			$ 9,800,000
IPO | RSUs | Subsequent Event
Subsequent Event [Line Items]
Grant date fair value | $ / shares				$ 24
IPO | Stock Options | Subsequent Event
Subsequent Event [Line Items]
Grant date fair value, stock options | $ / shares				$ 12.5
IPO | Common Stock | Subsequent Event
Subsequent Event [Line Items]
Common stock, par value | $ / shares					$ 0.01
Conversion of common stock shares | shares					90,366,089
IPO | Class A Common Stock | Subsequent Event
Subsequent Event [Line Items]
Common stock, shares outstanding | shares					756,816,836
IPO | Certain Employees | RSUs | Subsequent Event
Subsequent Event [Line Items]
Granted | shares				223,363
IPO | Certain Employees | Stock Options | Subsequent Event
Subsequent Event [Line Items]
Vesting period				1 year
IPO | Other Employees | RSUs | Subsequent Event
Subsequent Event [Line Items]
Granted | shares				172,286
IPO | Other Employees | Stock Options | Subsequent Event
Subsequent Event [Line Items]
Options granted | shares				135,350
Vesting period				3 years
IPO | Maximum | Subsequent Event
Subsequent Event [Line Items]
Number of shares issued and sold | shares			3,600,000