Employee Benefit Plans - Narrative (Details) - USD ($) $ in Millions								12 Months Ended
	Jan. 01, 2019	Jan. 01, 2018	Jan. 01, 2017	Jan. 01, 2007	May 01, 2006	Jan. 01, 2005	Mar. 01, 2002	Mar. 31, 2019	Mar. 31, 2018	Mar. 31, 2017	Mar. 31, 1995
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Net periodic benefit cost expected In next fiscal year								$ 3.3
Defined benefit plan, benefit obligation								72.7	$ 61.0	$ 50.4
Defined benefit plan, expected future benefit payments, next twelve months								1.3
Amount of company contributions								8.6	8.8	8.2
Overlapping Stock Purchase Period 1
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Overlapping period on purchase of common stock under purchase plan (in number of months)							24 months
Overlapping Stock Purchase Period 2
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Overlapping period on purchase of common stock under purchase plan (in number of months)							18 months
Overlapping Stock Purchase Period 3
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Overlapping period on purchase of common stock under purchase plan (in number of months)							12 months
Overlapping Stock Purchase Period 4
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Overlapping period on purchase of common stock under purchase plan (in number of months)							6 months
Supplemental employee retirement plans, defined benefit
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Defined benefit plan, benefit obligation								3.7
Defined benefit plan, expected future benefit payments, next twelve months								0.4
Defined benefit plan, expected future benefit payments, year two through year ten								$ 4.1
Defined contribution pension
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Percentage of employee's base salary allowed as employee contribution (in hundredths)								60.00%
Minimum
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Termination benefits, salary period								1 month
Maximum
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Termination benefits, salary period								5 months
Employee stock purchase plan, 2001 plan
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Percentage of fair market value of common stock for employee purchase (in hundredths)							85.00%
Number of additional shares reserved under purchase plan (in shares)	1,184,815	0	1,077,150
Number of shares of common stock reserved for issuance (in shares)								14,557,319
Shares issued under purchase plan (in shares)								8,293,815
Employee stock purchase plan, 2001 plan | Maximum
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Maximum automatic increase in number of common stock shares under purchase plan (in shares)						1,500,000
Percentage of outstanding shares of common stock used to determine automatic annual increase in common stock (in hundredths)						0.50%
Employee Stock Purchase Plan Employees In Non Us Locations
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Percentage of fair market value of common stock for employee purchase (in hundredths)					85.00%
Number of additional shares reserved under purchase plan (in shares)	236,963	0	215,430
Number of shares of common stock reserved for issuance (in shares)								2,156,176
Shares issued under purchase plan (in shares)								1,524,674
Percentage of fair market value of common stock at the beginning or end of semi-annual purchase plan period, during fiscal 1995 (in hundredths)											100.00%
Employee Stock Purchase Plan Employees In Non Us Locations | Maximum
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Percentage of outstanding shares of common stock used to determine automatic annual increase in common stock (in hundredths)				0.10%
Management incentive compensation plan
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Compensation expense charged against operations								$ 18.7	48.1	41.5
Cash bonus plan
Deferred compensation arrangement, by type of deferred compensation [Line Items]
Compensation expense charged against operations								$ 16.4	$ 36.3	$ 28.2