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Derivative Financial Instruments and Hedging Activities - Schedule of Net Effect of Derivative Instruments on the Consolidated Statements of Income (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2025	Dec. 31, 2024	Dec. 31, 2023
Income statement classification
Cost of revenue	$ (107)	$ (1,583)	$ 2,433

X

- Definition

Represent the amount of effect of derivative instruments cost of revenue.

+ References

No definition available.

+ Details

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Namespace Prefix:	dlxy_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

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- References

No definition available.

+ Details

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