Debt - Components of Debt (Details)	Jul. 03, 2021 USD ($)	Apr. 30, 2021 USD ($)	Apr. 30, 2021 EUR (€)	Jan. 02, 2021 USD ($)
Debt Instrument [Line Items]
Unamortized Debt Costs	$ 18,100,000			$ 15,300,000
Finance leases	69,800,000			71,500,000
Other debt financing	200,000			4,900,000
Total debt, Net	1,486,900,000			1,470,700,000
Total debt, Principal	1,505,000,000.0			1,486,000,000.0
Less: Short-term borrowings and current debt:
Revolving Credit Facility and Short-term borrowings	151,600,000			107,700,000
Finance leases - current maturities	13,700,000			13,200,000
Total current debt	165,400,000			125,600,000
Total long-term debt, Net	1,321,500,000			1,345,100,000
Short-term borrowings and Other debt financing
Debt Instrument [Line Items]
Total long-term debt	11,800,000			2,900,000
Unamortized Debt Costs	0			0
Short-term borrowings, Net	11,800,000			2,900,000
Other debt financing	200,000			4,900,000
Less: Short-term borrowings and current debt:
Revolving Credit Facility and Short-term borrowings	11,800,000			2,900,000
Other debt financing	100,000			4,700,000
Long-term Debt
Debt Instrument [Line Items]
Total long-term debt	1,339,600,000			1,360,400,000
Unamortized Debt Costs	18,100,000			15,300,000
Less: Short-term borrowings and current debt:
Total long-term debt, Net	1,321,500,000			1,345,100,000
Senior Notes
Debt Instrument [Line Items]
Short-term borrowings, Net	1,265,300,000			1,286,600,000
Line of Credit | Revolving Credit Facility
Debt Instrument [Line Items]
Total long-term debt	139,800,000			104,800,000
Unamortized Debt Costs	0			0
Long-term debt, Net	139,800,000			104,800,000
Less: Short-term borrowings and current debt:
Revolving Credit Facility and Short-term borrowings	139,800,000			104,800,000
5.500% senior notes due in 2025 | Senior Notes
Debt Instrument [Line Items]
Total long-term debt	0	$ 750,000,000.0		750,000,000.0
Unamortized Debt Costs	0			7,000,000.0
Long-term debt, Net	0			743,000,000.0
Short-term borrowings, Net	$ 0			743,000,000.0
Less: Short-term borrowings and current debt:
Interest rate on notes	5.50%	5.50%	5.50%
3.875% senior notes due in 2028 | Senior Notes
Debt Instrument [Line Items]
Total long-term debt	$ 533,400,000		€ 450,000,000.0	551,900,000
Unamortized Debt Costs	7,700,000			8,300,000
Long-term debt, Net	$ 525,700,000			543,600,000
Less: Short-term borrowings and current debt:
Interest rate on notes	3.875%	3.875%	3.875%
4.375% senior notes due in 2029 | Senior Notes
Debt Instrument [Line Items]
Total long-term debt	$ 750,000,000.0	$ 750,000,000.0		0
Unamortized Debt Costs	10,400,000			0
Long-term debt, Net	$ 739,600,000			$ 0
Less: Short-term borrowings and current debt:
Interest rate on notes	4.375%	4.375%	4.375%