Greenwood Company manufactures two products $-15,000$ units of Product $Y$ and $7,000$ units of Product $Z.$ The company uses a plantwide overhead rate based on direct labor$-$hours. It is considering implementing an activity$-$based costing $(ABC)$ system that allocates all of its manufacturing overhead to four cost pools. The following additional information is available for the company as a whole and for Products $Y$ and $Z$ :

$\backslash$table$[[$Estimated$,,,],[$Activity Cost Pool,Activity Measure,Overhead Cost,Expected Activity$],[$Machining$,$Machine$-$hours,$$224,400,11,000$ MHs$],[$Machine setups,Number of setups,$$129,600,240$ setups$],[$Production design,Number of products,$$88,000,2$ products$],[$General factory,Direct labor$-$hours,$$254,000,10,000$ DLHs$],[,,,],[$Activity Measure,Product Y$,$Product Z$,],[$Machining$,8,400,2,600,],[$Number of setups,$60,180,],[$Number of products,$1,1,],[$Direct labor$-$hours,$8,400,1,600,]]$

Foundational $4-12($Algo$)$

$12.$ Using the ABC system, what percentage of the Machining costs is assigned to Product $Y$ and Product $Z?($Round your intermediate calculations to $2$ decimal places. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[,$Product $Y,$Product Z$],[$Machining cost$,,\%$