Jesse buys his coworkers lunch from the local steak steakhouse. The food cost $105.79, and the sales tax rate is 9%. Jesse wants to leave a 20% tip based on the pre-tax amount. How much will the total be, including tax and tip?

The sales tax amount is $105.79 x 9% = $<<105.79*9*.01=9.52>>9.52.

The pre-tax amount is $105.79 - $9.52 = $<<105.79-9.52=96.27>>96.27.
The tip amount is $96.27 x 20% = $<<96.27*20*.01=19.25>>19.25.
The total amount, including tax and tip, will be $96.27 + $9.52 + $19.25 = $<<96.27+9.52+19.25=125.04>>125.04. Answer: \boxed{125.04}.