Description Of Business And Accounting Policies (Narrative) (Details) € in Millions	1 Months Ended	3 Months Ended		12 Months Ended
	Dec. 30, 2022 EUR (€)	Dec. 30, 2022 USD ($)	Dec. 30, 2022 EUR (€)	Dec. 30, 2022 USD ($) segment	Dec. 31, 2021 USD ($)	Jan. 01, 2021 USD ($)
Accounting Policies [Line Items]
Reportable segments | segment				4
Unbilled receivables		$ 33,600,000		$ 33,600,000	$ 39,500,000
Accounts receivable, allowance for credit loss		5,900,000		5,900,000	7,000,000
Accounts receivable, credit loss expense (reversal)				7,700,000	2,600,000	$ 7,100,000
Deferred costs to obtain customer contracts		74,700,000		74,700,000	59,700,000
Accrued warranty expenses		11,700,000		11,700,000	17,100,000
Payments to acquire businesses, gross				$ 379,500,000		205,100,000
Transporeon
Accounting Policies [Line Items]
Payments to acquire businesses, gross	€ 1,880	$ 2,000,000,000	€ 1,880
Forward contracts
Accounting Policies [Line Items]
Derivative financial instruments accounted for as hedges					0
Land, building, furniture, and leasehold improvements
Accounting Policies [Line Items]
Useful life of asset, in years				39 years
Selling and Marketing Expense
Accounting Policies [Line Items]
Amortization expense related to deferred costs to obtain customer contracts				$ 32,000,000	$ 25,900,000	$ 22,800,000
Minimum
Accounting Policies [Line Items]
Product warranty term				1 year
Post contract				1 year
Subscription revenue term				1 year
Amortization period		3 years		3 years
Weighted-Average Useful Lives (in years)				3 years
Warranty periods for products sold				1 year
Maturity period of derivative financial instrument, minimum, in months				1 month
Minimum | Transporeon
Accounting Policies [Line Items]
Maturity period of derivative financial instrument, minimum, in months				4 months
Minimum | Machinery and equipment
Accounting Policies [Line Items]
Useful life of asset, in years				4 years
Minimum | Furniture and fixtures
Accounting Policies [Line Items]
Useful life of asset, in years				5 years
Minimum | Computer equipment and software
Accounting Policies [Line Items]
Useful life of asset, in years				2 years
Minimum | Internal-use of software
Accounting Policies [Line Items]
Useful life of asset, in years				2 years
Maximum
Accounting Policies [Line Items]
Product warranty term				2 years
Post contract				3 years
Subscription revenue term				3 years
Amortization period		7 years		7 years
Weighted-Average Useful Lives (in years)				10 years
Warranty periods for products sold				2 years
Maturity period of derivative financial instrument, minimum, in months				2 months
Maximum | Transporeon
Accounting Policies [Line Items]
Maturity period of derivative financial instrument, minimum, in months				6 months
Maximum | Machinery and equipment
Accounting Policies [Line Items]
Useful life of asset, in years				6 years
Maximum | Furniture and fixtures
Accounting Policies [Line Items]
Useful life of asset, in years				10 years
Maximum | Computer equipment and software
Accounting Policies [Line Items]
Useful life of asset, in years				5 years
Maximum | Internal-use of software
Accounting Policies [Line Items]
Useful life of asset, in years				5 years
Weighted average
Accounting Policies [Line Items]
Weighted-Average Useful Lives (in years)				7 years