Two reference points circulate, they come from different worlds, and they are nowhere near each other. Knowing that is more useful than memorizing either.
The economists' convention is monthly, and it is a convention. The 50 percent per month figure traces to a 1956 study of hyperinflations by Phillip Cagan, and it is a research threshold adopted so that episodes could be compared, not a rule any institution enforces. The St. Louis Fed article quoted above states the convention and, in the same sentence, states that no precise number defines the thing. Both halves are the point.
The accounting test is an indicator list, and it is far lower. IAS 29, the international accounting standard governing financial reporting in hyperinflationary economies, is where a company reporting in a collapsing currency has to make the call in practice. Its own text is careful. "This standard does not establish an absolute rate at which hyperinflation is deemed to arise," it says. "It is a matter of judgement when restatement of financial statements in accordance with this standard becomes necessary." What follows is a list of characteristics that "include, but are not limited to" five items, and only the last is numerical: "the cumulative inflation rate over three years is approaching, or exceeds, 100 %." That works out to roughly 26 percent a year sustained for three years. The research convention of 50 percent a month compounds to about 12,875 percent a year, so the two reference points differ by a factor of several hundred.
The gap between the two is not a contradiction. They answer different questions. The accounting standard asks when historical-cost financial statements stop being meaningful, which happens well before a currency collapses. The research convention asks when an episode belongs in a particular literature. Anyone quoting either as "the definition of hyperinflation" has stripped away the qualification the source itself supplies.
The four non-numerical indicators are the ones a person can actually observe. IAS 29's list begins with behavior rather than statistics: the general population "prefers to keep its wealth in non-monetary assets or in a relatively stable foreign currency," with local currency "immediately invested to maintain purchasing power"; it "regards monetary amounts not in terms of the local currency but in terms of a relatively stable foreign currency" and prices may be quoted in that currency; sales and purchases on credit "take place at prices that compensate for the expected loss of purchasing power during the credit period, even if the period is short"; and interest rates, wages and prices are linked to a price index. Those describe an economy that has stopped using its own money as a unit of account, which is what hyperinflation actually is. The percentage is downstream of that.
One caveat about the standard's own status. The International Accounting Standards Board lists an open project titled "High Inflation: Scope of IAS 29," so the wording quoted above could change. The current text is at ifrs.org.