Consolidated Balance Sheets (Parenthetical) $ in Millions	Dec. 29, 2023 USD ($) $ / shares shares	Dec. 29, 2023 € / shares	Nov. 14, 2023 $ / shares shares	Dec. 30, 2022 USD ($) $ / shares shares	Dec. 30, 2022 € / shares
Accounts Receivable, Allowance for Credit Loss, Current | $	$ 6.5			$ 4.4
Preferred shares, par value (in usd per share) | $ / shares				$ 0.01
Preferred shares, shares authorized (in shares)				500,000,000
Preferred shares, shares issued (in shares)				0
Preferred shares, shares outstanding (in shares)				0
Treasury Stock, Common, Shares	0			0
Ordinary A shares, par value (in eur per share) | € / shares		€ 1.00			€ 1.00
Ordinary A shares, shares authorized (in shares)	25,000			40,000
Ordinary A shares, shares issued (in shares)	0			0
Ordinary A shares, shares outstanding (in shares)	0			0
Ordinary shares, par value (in usd per share) | $ / shares	$ 0.01			$ 0.01
Ordinary shares, shares authorized (in shares)	500,000,000			500,000,000
Successor
Preferred shares, par value (in usd per share) | $ / shares	$ 0.01
Preferred shares, shares authorized (in shares)	500,000,000
Preferred shares, shares issued (in shares)	0
Preferred shares, shares outstanding (in shares)	0
Ordinary shares, shares authorized (in shares)	500,000,000
Ordinary shares, shares issued (in shares)			19,696,335
Ordinary shares, shares outstanding (in shares)	19,696,335		19,696,335
Predecessor Reorganization
Preferred shares, par value (in usd per share) | $ / shares				$ 0.20
Preferred shares, shares authorized (in shares)				500,000,000
Preferred shares, shares issued (in shares)				0
Preferred shares, shares outstanding (in shares)				0
Ordinary shares, par value (in usd per share) | $ / shares			$ 0.01	$ 0.20
Ordinary shares, shares authorized (in shares)				500,000,000
Ordinary shares, shares issued (in shares)				13,170,932
Ordinary shares, shares outstanding (in shares)				13,170,932
Common Class A | Successor
Ordinary shares, par value (in usd per share) | $ / shares	$ 1.00
Ordinary shares, shares authorized (in shares)	40,000
Ordinary shares, shares issued (in shares)	0
Ordinary shares, shares outstanding (in shares)	0
Common Class A | Predecessor Reorganization
Ordinary shares, par value (in usd per share) | $ / shares				$ 1.00
Ordinary shares, shares authorized (in shares)				40,000
Ordinary shares, shares issued (in shares)				0
Ordinary shares, shares outstanding (in shares)				0