Intangible assets (Tables)

12 Months Ended

Jan. 02, 2021

Goodwill and Intangible Assets Disclosure [Abstract]

Schedule of finite-lived intangible assets

	As of January 2, 2021						As of December 28, 2019
(dollars in millions)	Cost		Accumulated amortization and impairment		Net		Cost		Accumulated amortization and impairment		Net
Finite-lived:
—Customer relationships	$	2,073.0	$	(796.9)	$	1,276.1	$	2,021.8	$	(656.3)	$	1,365.5
—Technology	90.9		(88.5)		2.4		90.8		(87.8)		3.0
—Capitalized software	89.9		(49.2)		40.7		76.1		(38.0)		38.1
	2,253.8		(934.6)		1,319.2		2,188.7		(782.1)		1,406.6
Indefinite-lived:
—Brands and trade names	513.4		(44.0)		469.4		513.4		(44.0)		469.4
Total intangible assets	$	2,767.2	$	(978.6)	$	1,788.6	$	2,702.1	$	(826.1)	$	1,876.0

Schedule of indefinite-lived intangible assets

	As of January 2, 2021						As of December 28, 2019
(dollars in millions)	Cost		Accumulated amortization and impairment		Net		Cost		Accumulated amortization and impairment		Net
Finite-lived:
—Customer relationships	$	2,073.0	$	(796.9)	$	1,276.1	$	2,021.8	$	(656.3)	$	1,365.5
—Technology	90.9		(88.5)		2.4		90.8		(87.8)		3.0
—Capitalized software	89.9		(49.2)		40.7		76.1		(38.0)		38.1
	2,253.8		(934.6)		1,319.2		2,188.7		(782.1)		1,406.6
Indefinite-lived:
—Brands and trade names	513.4		(44.0)		469.4		513.4		(44.0)		469.4
Total intangible assets	$	2,767.2	$	(978.6)	$	1,788.6	$	2,702.1	$	(826.1)	$	1,876.0

Schedule of future amortization of finite-lived intangible assets

The amortization expense for the next five years is estimated to be as follows:

Fiscal year	(dollars in millions)
—2021	$	134.7
—2022	134.5
—2023	130.5
—2024	128.3
—2025	127.0