The charge must be proved 'to the satisfaction' of the court. [=the court must be convinced that the charge is true]
I complained to the manager about the poor service but did not get any 'satisfaction'.
The work was not done 'to my satisfaction'. [=I was not satisfied with the work]
(..) For years they've denied their own fate. But now is the end of days... ...and I am the reaper. What do you want? All we ask for is satisfaction. Satisfaction? Revenge. Why me? You chose. You chose Sharon. (..)2006 Silent Hill