Simulated gravity due to acceleration

I just need to have my working for the following question confirmed:

"An 81 kg astronaut is launched into space on a Saturn rocket. The upward acceleration of a Saturn rocket shortly after blastoff is 80m/s^2. When the rocket is accelerating, what is the apparent weight of the astronaut, that is, what does the astronaut experience as the weight of his body? Show your calculations(HINT: keep in mind the definition of weight and that more than acceleration is acting on the astronaut) your answer must be in newtons."

I deduced that since acceleration due to gravity is 9.8m/s, the force of the simulated gravity would be somewhere between 8 & 9 times normal due to the 80m/s^2 acceleration rate, therefore his weight would be 81kg*9.8N*8= 6350.4N.

Thank you in advance for your help.