Each day, a FedEx competitor processes approximately $55,000$ shipments. Suppose that they use the same Service Quality Index as FedEx and identified the following numbers of errors during a $5-$day week $($see the "FedEx: Measuring Service Performance" box$).$ These values are hypothetical and do not reflect any real company's actual performance.

$\backslash$table$[[$Description$,$Weight,Number of Errors$],[$Complaints reopened,$3,110],[$Damaged packages,$10,16],[$International$,1,100],[$Invoice adjustments,$1,280],[$Late pickup stops,$3,202],[$Lost packages,$10,3],[$Missed proof of delivery,$1,21],[$Right date late,$1,746],[$Traces$,3,116],[$Wrong day late,$5,17]]$

Compute the Service Quality Indicator by finding the weighted sum of errors as a percentage of total shipments. Do not round intermediate calculations. Round your answer to three decimal places.

Service Quality Indicator $($SQI$)$:

$\%$