Notice that if a U.S. corporation earns a profit from affiliate operations abroad, the profit will be added to the numerator of CPATAX/GDP, but the costs will not be added to the denominator, as they should be in a “profit margin” analysis. Those costs, the compensation that the U.S. corporation pays to the entire foreign value-added chain–the workers, supervisors, suppliers, contractors, advertisers, and so on–are not part of U.S. GDP. They are a part of the GDP of other countries. Additionally, the profit that accrues to the U.S. corporation will not be added to the denominator, as it should be–again, it was not earned from operations inside the United States. In effect, nothing will be added to the denominator, even though profit was added to the numerator.
General Motors (GM) operates numerous plants in China. Suppose that one of these plants produces and sells one extra car. The profit will be added to CPATAX–a U.S. resident corporation, through its foreign affiliate, has earned money. But the wages and salaries paid to the workers and supervisors at the plant, and the compensation paid to the domestic suppliers, advertisers, contractors, and so on, will not be added to GDP, because the activities did not take place inside the United States. They took place in China, and therefore they belong to Chinese GDP. So, in effect, CPATAX/GDP will increase as if the sale entailed a 100% profit margin–actually, an infinite profit margin. Positive profit on a revenue of zero.
Here is much more, with many visuals and further details at the link, including a treatment of how to measure corporate profits accurately.
For the pointer, I thank @IronEconomist.