ansas Company uses the weighted$-$average method in its process costing system. Operating data for the first processing department for the month of June appear below:

Units Percent Complete with Respect to Conversion

Beginning work$-$in$-$process inventory $12,60050\%$

Started into production during June $102,000$

Ending work$-$in$-$process inventory $24,20080\%$

According to the company's records, the conversion cost in beginning work$-$in$-$process inventory was $$53,315$ at the beginning of June. Additional conversion costs of $$829,983$ were incurred in the department during the month.

What was the cost per equivalent unit for conversion costs for the month?