A very rough calculation with a 3 foot landing at the bottom about 23 inches high and a 3 foot landing at the top at the height of the new top stepI remeasured from the line I drew, kid forgot to write down a 0. (He's two semesters away from being an accountant too, sigh :vs_laugh
8 foot 10 inches. That's from the second story sub-floor down to the wood covered first floor.
The stairs would be about 7 1/8 rise and 10" treads
For carpet you would put 11 inch treads on the that.
That puts 2 steps at the bottom up to the landing so they would stick out in the room 21" about.