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CONSOLIDATED STATEMENTS OF CHANGES IN STOCKHOLDERS' DEFICIT (Parenthetical) - $ / shares	1 Months Ended		12 Months Ended
	Sep. 30, 2024	Nov. 30, 2023	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Statement of Stockholders' Equity [Abstract]
Dividends declared (in usd per share)	$ 75.00	$ 35.00	$ 90.00	$ 110.00	$ 0

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- Definition

Dividends, Per Share, Declared

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No definition available.

+ Details

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Namespace Prefix:	tdg_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	duration

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- References

No definition available.

+ Details

Name:	us-gaap_StatementOfStockholdersEquityAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration