CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME (Parentheticals) - USD ($) $ in Thousands	12 Months Ended
Mar. 26, 2022	Mar. 27, 2021
Statement of Comprehensive Income [Abstract]
Other, net of tax effects	$ (146)	$ 36

Amount, after tax and before adjustment, of unrealized gain (loss) on investment in debt security measured at amortized cost (held-to-maturity) from transfer to investment in debt security measured at fair value with change in fair value recognized in other comprehensive income (available-for-sale).

No definition available.

Name:	trns_OtherNetOfTaxEffects
Namespace Prefix:	trns_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration