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Equity (Details) - USD ($)
$ in Thousands
 3 Months Ended
Sep. 29, 2023
Jun. 30, 2023
Mar. 31, 2023
Sep. 30, 2022
Jul. 01, 2022
Apr. 01, 2022
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]            
Beginning balance $ 1,546,725 $ 1,458,291 $ 1,388,458 $ 1,281,403 $ 2,517,362 $ 2,501,728
Net actuarial loss 4 (2) (2)      
Foreign currency translation adjustment (73,080) (9,466) 29,082 (97,649) (100,143) (44,681)
Gain on long-term intra-entity foreign currency transactions 9,962 23,142 12,501      
Unrealized gain on cash flow hedges 767 7,640 (2,051) 9,150    
Foreign currency translation adjustment       (88,499) (100,143) (44,681)
Amounts reclassified from Accumulated other comprehensive loss       1,576 770 786
Other comprehensive (loss) income before reclassifications (62,347) 21,314 39,530      
Amounts reclassified from Accumulated other comprehensive loss (578) (1,220) (1,251)      
Amounts contributed by Former Parent           (59,263)
Net current period Other comprehensive (loss) income (62,925) 20,094 38,279 (86,923) (99,373) (103,158)
Ending balance 1,541,096 1,546,725 1,458,291 1,247,525 1,281,403 2,517,362
Total            
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]            
Beginning balance (616,615) (636,709) (674,988) (663,419) (564,046) (460,888)
Ending balance (679,540) (616,615) (636,709) (750,342) (663,419) (564,046)
Net Unrecognized Pension and Other Post-Retirement Benefit Cost            
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]            
Beginning balance (62,840) (63,678) (63,847) (71,008) (70,424) (21,196)
Net actuarial loss 4 (2) (2)      
Foreign currency translation adjustment 161 (49) (108) 3,685 (1,354) 490
Gain on long-term intra-entity foreign currency transactions 0 0 0      
Unrealized gain on cash flow hedges 0 0 0 0    
Foreign currency translation adjustment       3,685 (1,354) 490
Amounts reclassified from Accumulated other comprehensive loss       766 770 786
Other comprehensive (loss) income before reclassifications (165) 51 110      
Amounts reclassified from Accumulated other comprehensive loss 236 889 279      
Amounts contributed by Former Parent           (50,504)
Net current period Other comprehensive (loss) income 401 838 169 4,451 (584) (49,228)
Ending balance (62,439) (62,840) (63,678) (66,557) (71,008) (70,424)
Foreign Currency Translation Adjustment            
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]            
Beginning balance (553,369) (570,130) (613,907) (592,411) (493,622) (439,692)
Net actuarial loss   0 0      
Foreign currency translation adjustment (79,233) (6,381) 31,276 (108,755) (98,789) (45,171)
Gain on long-term intra-entity foreign currency transactions 9,962 23,142 12,501      
Unrealized gain on cash flow hedges 0 0 0 0    
Foreign currency translation adjustment       (108,755) (98,789) (45,171)
Amounts reclassified from Accumulated other comprehensive loss       0 0 0
Other comprehensive (loss) income before reclassifications 69,271 (16,761) (43,777)      
Amounts reclassified from Accumulated other comprehensive loss 0 0 0      
Amounts contributed by Former Parent           (8,759)
Net current period Other comprehensive (loss) income (69,271) 16,761 43,777 (108,755) (98,789) (53,930)
Ending balance (622,640) (553,369) (570,130) (701,166) (592,411) (493,622)
Net Investment Hedges            
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]            
Beginning balance (13,458) (10,422) (8,336) 0 0 0
Net actuarial loss   0 0      
Foreign currency translation adjustment 5,992 (3,036) (2,086) 7,421 0 0
Gain on long-term intra-entity foreign currency transactions 0 0 0      
Unrealized gain on cash flow hedges 0 0 0 0    
Other comprehensive (loss) income before reclassifications (5,992) 3,036 2,086 (7,421) 0 0
Amounts reclassified from Accumulated other comprehensive loss 0 0 0 0 0 0
Amounts contributed by Former Parent           0
Net current period Other comprehensive (loss) income 5,992 (3,036) (2,086) 7,421 0 0
Ending balance (7,466) (13,458) (10,422) 7,421 0 0
Cash Flow Hedges            
AOCI Including Portion Attributable to Noncontrolling Interest, Net of Tax [Roll Forward]            
Beginning balance 13,052 7,521 11,102 0 0 0
Net actuarial loss   0 0      
Foreign currency translation adjustment 0 0 0 0 0 0
Gain on long-term intra-entity foreign currency transactions 0 0 0      
Unrealized gain on cash flow hedges 767 7,640 (2,051) 9,150    
Other comprehensive (loss) income before reclassifications (767) (7,640) 2,051 (9,150) 0 0
Amounts reclassified from Accumulated other comprehensive loss (814) (2,109) (1,530) 810 0 0
Amounts contributed by Former Parent           0
Net current period Other comprehensive (loss) income (47) 5,531 (3,581) 9,960 0 0
Ending balance $ 13,005 $ 13,052 $ 7,521 $ 9,960 $ 0 $ 0