Here is the arithmetic that reorganized my thinking.
Researchers have twice measured where American sodium actually comes from, using duplicate samples of the salt people add at the table and in the pan rather than asking them to remember. In the 2017 study of 450 adults across three regions, summarized by Appel and Foti in Circulation, sodium added during commercial manufacturing and processing accounted for 71% of intake, sodium naturally present in food for 14%, salt added during home cooking for 6%, and salt added at the table for 5%. A smaller study in 1991 using the same method found 77%, 12%, 6% and 5%. Twenty-six years apart, the answer barely moved.
The same commentary states the consequence in a sentence worth quoting in full: "Even if it were possible to eliminate salt use at the table and in cooking, the maximum reduction that could be reached is about 400 mg per day, and such a reduction would be very difficult to achieve."
Four hundred milligrams is the entire prize for perfect discipline with the shaker and the pan, and it is a theoretical maximum rather than a realistic one. If you are starting where most people start, at roughly 3,400 mg a day according to the Food and Drug Administration, and aiming at 1,500, you need to find about 1,900 mg. The shaker can supply a fifth of that on its best day.
So the obvious next move is to hunt down the high-sodium foods and cut them out. That is what an avoidance list is for, and we have published one ourselves.
Twelve sneaky sources of sodium worth knowing about will show you where the concentrations hide.
What a list cannot do is close the gap, and the reason is one statistic from an analysis of national survey data published in Nutrients. The fifteen largest sodium categories in the American diet — pizza, breads and rolls, cold cuts, soups, burritos and tacos, savory snacks, poultry, cheese, pasta dishes, burgers and the rest — together account for 50.83% of total sodium intake, and not one of them exceeds 5.3% on its own. Pizza, the biggest single category in the country, is one twentieth of the problem.
Which means roughly half the sodium people eat is not on anybody's list. It is spread in small amounts across nearly everything that came out of a package: the bread, the sauce, the seasoned rice mix, the marinated chicken, the dressing, the crackers. You cannot subtract your way to 1,500 mg because there is no concentrated thing to subtract. You have to change what the anchor items of your day are made of.
One more structural fact is worth carrying forward. CDC's Vital Signs analysis found that about 65% of the sodium Americans eat comes from food bought at retail stores and about 25% from restaurants, and that the sodium in something as ordinary as chicken noodle soup can vary between brands by as much as 840 mg per serving. That second number is the encouraging one: inside a single category, the spread between products is often larger than the difference between eating the category and skipping it.