At today's spot exchange rates $1$ U$.$S$.$ dollar can be exchanged for $11$ Mexican pesos or for $110\mathrm{.}96$ Japanese yen. You have pesos that you would like to exchange for yen. What is the cross rate between the yen and the peso; that is$,$ how many yen would you receive for every peso exchanged? Do not round intermediate calculations. Round your answer to two decimal places.

yen per peso