The table you are looking at is a GDP expenditure measure. But this ignores the fact that services are involved in the costs of goods purchased, and that goods are involved in the cost of services purchased. For example, if you buy a cake in a supermarket, the price reflects not just the food manufacturing industry, but also agriculture, transportation, retail trade and many more.
To consider the importance of different industries in the economy, better analysis comes from the GDP income measure considering the value added (essentially wages and profits) for each industry. So looking at table 5 of another BEA release on GDP by industry, and stripping out duplicated values for sub-industries, you get something like
2018
$ billion
Gross domestic product 20,580.2
--Private industries--
Agriculture, forestry, fishing, and hunting 166.5
Mining 346.6
Utilities 325.9
Construction 839.1
Manufacturing 2,321.2
Wholesale trade 1,212.2
Retail trade 1,126.9
Transportation and warehousing 658.1
Information 1,067.7
Finance, insurance, real estate, rental, and leasing 4,301.6
Professional and business services 2,579.4
Educational services, health care, and social assistance 1,792.5
Arts, entertainment, recreation, accommodation, and food services 860.6
Other services, except government 437.2
--Government--
Federal 790.8
State and local 1,753.8
If you add up the first five rows (Agriculture through to Manufacturing) you get \$3,993.3bn (19.4% of total GDP), while if you add up the other rows you get \$16,580.8bn (80.6% of total GDP)