Business Combinations, Goodwill and Acquired Intangible Assets (Details) £ in Millions								3 Months Ended		12 Months Ended
	Apr. 02, 2017 USD ($)	Mar. 28, 2017 USD ($)	Dec. 06, 2016 USD ($)	Nov. 02, 2016 USD ($)	May 03, 2016 USD ($)	Apr. 15, 2016 USD ($)	Apr. 06, 2016 USD ($)	Apr. 02, 2017 USD ($)	Apr. 03, 2016 USD ($)	Jan. 01, 2017 USD ($)	Mar. 31, 2016 GBP (£)	Mar. 31, 2017 EUR (€)	Mar. 31, 2017 USD ($)
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired								$ 740,600,000		$ 93,400,000
Operating income (loss)								58,100,000	$ 60,900,000
Goodwill	$ 1,671,000,000							1,671,000,000		1,193,500,000
Goodwill from acquisitions								472,900,000
Acquired intangibles, net	402,700,000							402,700,000		$ 234,600,000
Amortization of intangible assets								175,800,000
Total intangibles subject to amortization								7,200,000
Net income								30,500,000	39,000,000
e2v
Business Acquisition [Line Items]
Acquisition related costs								21,200,000
Operating income (loss)								(2,500,000)
Goodwill		$ 472,900,000
Total intangibles subject to amortization		129,800,000
Hanson Research
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired			$ 25,000,000
IN USA
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired				$ 10,200,000
Subsidiaries | e2v
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired		770,700,000
Cash acquired		24,400,000
Revenue reported by acquired entity for last annual period | £											£ 236
Revenue of acquiree since acquisition date	7,500,000
Loss of acquiree since acquisition date	1,200,000
Acquisition related costs	$ 2,500,000
Subsidiaries | CARIS
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired					$ 26,200,000
Subsidiaries | Quantum Data
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired						$ 17,300,000
Subsidiaries | Frontline
Business Acquisition [Line Items]
Payments to acquire businesses, net of cash acquired							$ 13,700,000
Term Loans | Term loan due October 2019, variable rate of 2.48% at April 2, 2017
Business Acquisition [Line Items]
Debt instrument, face amount		$ 100,000,000.0										€ 93,000,000.0	$ 100,000,000.0
Cost of sales | e2v
Business Acquisition [Line Items]
Acquisition related costs								1,400,000
Selling, General and Administrative Expenses | e2v
Business Acquisition [Line Items]
Acquisition related costs								11,500,000
Interest Expense | e2v
Business Acquisition [Line Items]
Acquisition related costs								2,300,000
Other Expense | e2v
Business Acquisition [Line Items]
Acquisition related costs								6,000,000
Legal and Consulting | e2v
Business Acquisition [Line Items]
Net income								12,300,000
Foreign Exchange Option | e2v
Business Acquisition [Line Items]
Net income								11,500,000
Bridge Financing Costs | e2v
Business Acquisition [Line Items]
Net income									$ 2,800,000
Fair Value Adjustment to Inventory | e2v
Business Acquisition [Line Items]
Net income								1,400,000
Acquisition-related Costs | e2v
Business Acquisition [Line Items]
Net income								$ 28,000,000