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Debt - Historical Transactions (Details) € in Millions, $ in Millions				12 Months Ended
	Sep. 30, 2023	Sep. 29, 2023	Jan. 27, 2023 USD ($)	Sep. 30, 2023	Sep. 30, 2022	Nov. 24, 2021 EUR (€)	Sep. 30, 2021
Acquisition Corp. | Revolving Credit Facility
Debt Instrument [Line Items]
Term loan borrower alternate base rate election rate	1.00%			1.00%
Additional interest on overdue principal				2.00%
Acquisition Corp. | Revolving Credit Facility | Fed Funds Effective Rate Overnight Index Swap Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				0.50%
3.750% Senior Secured Notes
Debt Instrument [Line Items]
Interest rate (as a percent)	3.75%			3.75%	3.75%		3.75%
3.750% Senior Secured Notes | Acquisition Corp.
Debt Instrument [Line Items]
Interest rate (as a percent)	3.75%			3.75%		3.75%
Face or principal amount of debt instrument | €						€ 540
Initial Revolving Loans | Acquisition Corp. | Revolving Credit Facility
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				0.75%
Initial Revolving Loans | Acquisition Corp. | Revolving Credit Facility | London Interbank Offered Rate (LIBOR)
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				1.75%
2020 Revolving Loans | Revolving Credit Facility | Eurodollar Applicable Margin Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)	1.375%	1.875%
2020 Revolving Loans | Revolving Credit Facility | ABR Applicable Margin Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)	0.375%	0.875%
2020 Revolving Loans | Acquisition Corp. | Revolving Credit Facility
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				0.875%
Debt instrument, covenant, senior secured indebtedness to EBITDA ratio	2.84			2.84
2020 Revolving Loans | Acquisition Corp. | Revolving Credit Facility | London Interbank Offered Rate (LIBOR)
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				1.875%
Senior Term Loan Facility -Tranche G | Acquisition Corp. | Fed Funds Effective Rate Overnight Index Swap Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				0.50%
Senior Term Loan Facility -Tranche G | Acquisition Corp. | Secured Overnight Financing Rate (SOFR)
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				2.125%
Senior Term Loan Facility -Tranche G | Acquisition Corp. | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				1.125%
Term loan borrower alternate base rate election rate	1.00%			1.00%
Additional interest rate on other overdue amounts				2.00%
Senior Term Loan Facility -Tranche H | Acquisition Corp. | Fed Funds Effective Rate Overnight Index Swap Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				0.50%
Senior Term Loan Facility -Tranche H | Acquisition Corp. | Secured Overnight Financing Rate (SOFR)
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				3.00%
Senior Term Loan Facility -Tranche H | Acquisition Corp. | Secured Overnight Financing Rate (SOFR) | Minimum
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				0.50%
Senior Term Loan Facility -Tranche H | Acquisition Corp. | Base Rate
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				2.00%
Term loan borrower alternate base rate election rate	1.00%			1.00%
Additional interest rate on other overdue amounts				2.00%
Senior Term Loan Facility -Tranche H | Acquisition Corp. | Base Rate | Minimum
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)				1.50%
Term Loan Mortgage | Acquisition Corp.
Debt Instrument [Line Items]
Face or principal amount of debt instrument | $			$ 19
Term Loan Mortgage | Acquisition Corp. | Secured Overnight Financing Rate (SOFR)
Debt Instrument [Line Items]
Debt instrument, basis spread on variable rate (as a percent)			1.40%

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