Workflows start in the copy state, (details in VReplication Life of a stream), doing a bulk copy of the tables involved until they reach a low replication lag, after which we stream binlog events. Tables are copied sequentially.
Progress reports the progress of a workflow by showing the percentage of data copied across targets, if workflow is in copy state, and the replication lag between the target and the source once the copy phase is completed.
It is too expensive to get real-time row counts of tables, using count(*), say. So we use the statistics available in the information_schema to approximate copy progress. This data can be significantly off (up to 50-60%) depending on the utilization of the underlying mysql server resources. You can manually run analyze table to update the statistics if so desired.