On one processor we have T1=(1−f)W+fW=W On p processors we have Tp=(1−f)W+fWp, resulting in a speedup of T1Tp=W(1−f)W+fW/p
As p goes to infinity, fW/p goes to zero, and the maximum speedup is 11−f, meaning that if if f=0.99 (all but 1% parallelizable), the maximum speedup is 1/(1−.99)=100!