Restructuring and Cost Management Plans - Restructuring Additional Information (Details) - USD ($) $ in Thousands	12 Months Ended			15 Months Ended	120 Months Ended
	Mar. 31, 2018	Apr. 01, 2017	Apr. 02, 2016	Mar. 31, 2018	Jan. 01, 2027	Jan. 09, 2017	Mar. 28, 2015
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	$ 429	$ 4,996		$ 429
Restructuring costs	3,935	6,935	$ 2,824
Q4 FY17 Restructuring Plan [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	139	4,135	0	139
Restructuring and Related Cost, Expected Cost	24,660			24,660
Cash Payments for Restructuring	8,505	407
Restructuring and Related Cost, Incurred Cost	(17,074)	(7,587)		(24,660)
Chelmsford [Member]
Restructuring Cost and Reserve [Line Items]
Restructuring Reserve	290	861	757	$ 290			$ 1,997
Cash Payments for Restructuring	980	297	4,064
Restructuring and Related Cost, Incurred Cost	$ (409)	$ (401)	$ (2,824)
Mortgages [Member] | FacilityMorgageAgreementJan92017Member [Member]
Restructuring Cost and Reserve [Line Items]
Long-term Debt, Gross						$ 14,000
Scenario, Forecast [Member] | Mortgages [Member] | FacilityMorgageAgreementJan92017Member [Member]
Restructuring Cost and Reserve [Line Items]
Debt Instrument, Term					20 years