context: In the US, the average annual inflation rate from 1900 to 1970 was approximately 2.5%. From 1970-1979, however, the average rate was 7.06%, and topped out at 13.29% in December 1979. This period is also known for "stagflation", a phenomenon in which inflation and unemployment steadily increased. It led to double-digit interest rates that rose to unprecedented levels (above 12% per year). The prime rate hit 21.5 in December 1980, the highest in history. A rising cost of housing was reflected in the  average price of a new home in the U.S. The average price of a new home in the U.S. was $23,450 in 1970 up to $68,700 by 1980. By the time of 1980, when U.S. President Jimmy Carter was running for United States presidential election, 1980 against Ronald Reagan, the Misery index (economics) (the sum of the unemployment rate and the inflation rate) had reached an all-time high of 21.98%. The economic problems of the 1970s would result in a sluggish cynicism replacing the optimistic attitudes of the 1950s and 1960s and a distrust of government and technology. Faith in government was at an all-time low in the aftermath of Vietnam and Watergate, as exemplified by the low voter turnout in the 1976 United States presidential election. There was also the 1973-74 stock market crash.
question: How many percentage points higher was the average annual inflation rate between 1970 to 1979 than 1900 to 1970?
answer: 4.56