INCOME TAXES (Details) - USD ($)	3 Months Ended	12 Months Ended
	Dec. 29, 2018	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Earnings before income taxes and equity in earnings of nonconsolidated subsidiaries
United States		$ 175,923,000	$ 127,852,000	$ 152,372,000
Foreign		33,750,000	15,589,000	76,092,000
Earnings before income taxes and equity in earnings of nonconsolidated subsidiaries		209,673,000	143,441,000	228,464,000
2017 tax act, estimated income tax expense			41,935,000
2017 tax act, estimated income tax expense from decrease related to deferred taxes	$ 20,372,000			20,372,000
Unremitted foreign earnings	394,000,000		394,000,000
Income Tax Contingency [Line Items]
2017 tax act, provisional transition tax obligation		785,000
Current:
Federal		27,809,000	21,106,000	49,324,000
State		5,568,000	6,585,000	4,415,000
Foreign		13,130,000	17,559,000	12,880,000
Total		46,507,000	45,250,000	66,619,000
Non-current:		(240,000)	(456,000)	(229,000)
Deferred:
Federal		2,108,000	213,000	(9,626,000)
State		553,000	9,000	(385,000)
Foreign	11,673,000	1,279,000	(1,881,000)	49,766,000
Total		3,940,000	(1,659,000)	39,755,000
Total income tax expense (benefit)		$ 50,207,000	$ 43,135,000	$ 106,145,000
Reconciliations of statutory federal income tax rate and effective tax rate
Statutory federal income tax rate		21.00%	21.00%	35.00%
State income taxes, net of federal benefit		2.50%	3.50%	1.40%
Carryforwards, credits and changes in valuation allowances		(1.00%)	3.20%	(1.40%)
Foreign tax rate differences		0.30%	(1.00%)	(4.10%)
Changes in unrecognized tax benefits		(0.10%)	(0.30%)	(0.10%)
Domestic production activities deduction		0.00%	0.00%	(2.10%)
Goodwill impairment		0.00%	2.20%	0.00%
Effects of 2017 Tax Act		0.00%	(0.50%)	18.40%
Other		1.30%	2.00%	(0.60%)
Total		24.00%	30.10%	46.50%
Deferred income tax assets:
Accrued expenses and allowances	8,268,000	$ 16,148,000	$ 8,268,000
Tax credits and loss carryforwards	56,867,000	64,116,000	56,867,000
Defined benefit pension liability	36,328,000	35,539,000	36,328,000
Inventory allowances	3,320,000	5,599,000	3,320,000
Accrued compensation and benefits	13,122,000	14,122,000	13,122,000
Lease liabilities		21,763,000
Deferred compensation	16,228,000	15,174,000	16,228,000
Gross deferred income tax assets	134,133,000	172,461,000	134,133,000
Valuation allowance	(33,228,000)	(35,215,000)	(33,228,000)
Net deferred income tax assets	100,905,000	137,246,000	100,905,000
Deferred income tax liabilities:
Property, plant and equipment	25,477,000	31,628,000	25,477,000
Intangible assets	44,850,000	49,686,000	44,850,000
Lease assets		22,066,000
Other deferred tax liabilities	7,291,000	6,067,000	7,291,000
Total deferred income tax liabilities	77,618,000	109,447,000	77,618,000
Net deferred income tax asset	23,287,000	27,799,000	23,287,000
Deferred income tax assets (liabilities), Balance Sheet Caption
Other assets	66,776,000	75,754,000	66,776,000
Deferred income taxes	(43,489,000)	(47,955,000)	(43,489,000)
Net deferred income tax asset	23,287,000	27,799,000	23,287,000
Income tax expense due to nondeductible goodwill impairment		3,171,000
Income tax expense due to nondeductible restructuring charges		6,756,000
Tax credit and net operating loss carryforwards related to the defined benefit pension obligation	56,867,000	64,116,000	56,867,000
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Gross Unrecognized Tax Benefits beginning of year		2,599,000	3,196,000
Gross increases—tax positions in prior period		29,000	103,000
Gross decreases—tax positions in prior period		0	(199,000)
Gross increases—current‑period tax positions		593,000	280,000
Settlements with taxing authorities		(150,000)	(50,000)
Lapse of statute of limitations		(771,000)	(731,000)
Gross Unrecognized Tax Benefits end of year	2,599,000	2,300,000	2,599,000	$ 3,196,000
Uncertain tax positions for which reversal is reasonably possible during the next 12 months		685,000
Reduction of income tax expense, due to expiration of statutes of limitation		609,000	577,000
Accrued interest and penalties relating to unrecognized tax benefits	196,000	178,000	196,000
Unrecognized tax benefits that, if recognized, would affect effective tax rate	2,536,000	2,224,000	2,536,000
Federal
Income Tax Contingency [Line Items]
2017 tax act, provisional transition tax obligation				9,890,000
2017 tax act, measurement basis adjustment, expense (benefit)			(550,000)
Foreign
Income Tax Contingency [Line Items]
2017 tax act, provisional transition tax obligation				10,373,000
2017 tax act, measurement basis adjustment, expense (benefit)			(140,000)
2017 tax act, transition tax obligation		754,000
State
Income Tax Contingency [Line Items]
2017 tax act, provisional transition tax obligation				$ 1,300,000
2017 tax act, transition tax obligation		$ 43,000
Accounting Standards Update 2015-17
Deferred income tax assets:
Accrued compensation and benefits	12,478,000		12,478,000
Deferred compensation	28,706,000		28,706,000
Deferred income tax assets (liabilities), Balance Sheet Caption
Accrued warranty amount aggregated with accrued expenses and allowances	3,914,000		3,914,000
Accrued insurance aggregated with accrued compensation and benefits	644,000		644,000
Work in progress aggregated with inventory allowances	1,064,000		1,064,000
Future repatriation of foreign earnings aggregated with other deferred tax liabilities	$ 2,746,000		$ 2,746,000