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 number 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.

Description Weight Number of Errors

Complaints reopened $3100$

Damaged packages $1016$

International $1109$

Invoice adjustments $1289$

Late pickup stops $3203$

Lost packages $104$

Missed proof of delivery $129$

Right date late $1754$

Traces $3115$

Wrong day late $512$

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$)$: