Induction motor simple power and torque

The output power is 100hp and slip is 0.02 and efficiency of 90%,4 pole induction motor

Want to find the shaft torque(output torque).

So I guess to find the torque we use the equation

P(out) = T(out)/w , but i'm not sure w is same with input(?) w.

here is my tried solution

Td = p(out)/w
S= ns(1-s) , 0.02 /(1-0.02) = ns = 0.0204
And find the n
S= ns-n/ns , n= 0.01992
Pg = Tw, 
T(out)= 74.6kw/[(2pi/60)n]= 35761

can i use the same w for output power torque? and why? Also, please check the solution.