The expected bill is a chance times a window times a cost
Three averages produce the number at the top: the chance you need care at all, the years of care the SSA period life table implies from the care-start age onward, and a year of care grown at the care-inflation rate you enter from today to the care-start age. Multiply the three and you get the expected lifetime bill - the average across many similar people, which is the figure insurance pricing is built on.
Each piece is computed, not looked up. The growth factor compounds your inflation rate over the years between now and the care-start age; the care window is the remaining life expectancy at that age for the sex you select; and the yearly cost is today monthly cost times twelve times that factor. At the defaults - 55 now, care from 82, $9,000 a month and 3% inflation - a year of care costs about $239,900 when it starts.
Because all three pieces are averages, the product is not a bill anyone will receive. It is the center of a distribution, and the page prints it that way instead of dressing an average up as a quote.