Alpha Company uses machine$-$hours as the only overhead cost$-$allocation base. The manager provided the following data for one of the products for $2023$: the direct cost rate is $$5$ per unit and the selling price of the product is $$22.$ Other information for $2023$ include: the budgeted manufacturing overhead cost of $$274580$ and budgeted machine hours are $40986$; and the actual manufacturing overhead costs of $$354492$ and actual machine hours are $34311.$

Using job costing, compute the $2023$ budgeted manufacturing overhead rate for the business. $($Round the final answer to $2$ decimal places.$)$