$72$ percent is not the correct answer.

Assume that in January $2023,$ the average house price in a particular area was $$405,500.$ In January $2002,$ the average price was

$$190,000.$ What was the annual increase in the price of the average house sold?

Note: Do not round intermedlate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$$ Answer is complete but not entirely correct.