Sql Server And Very Hot CPU % of Total Wait Time
SOS_SCHEDULER_YEILD is not the cause, it's a side effect. It just means that something else is burning the cycles. In your graph, the second is LOGGING; this makes sense considering you are running replication. Based on my prior experience, you are probably experiencing log reader. This is typical; you can reduce your PollingInterval and increase CommitBatchSize

Use ProcessExplorer, sort by highest CPU usage process, must be sqlservr. Right click on sqlsrvr, go to properties, click on threads tab, sort by highest CPU column to see the highest cpu consuming thread. Note the thread id(s) down. Execute the below statement to see what is query is using the most CPU

select r.session_id, st.text, qp.query_plan from sys.dm_os_threads as ot join sys.dm_os_tasks as t on t.worker_address=ot.worker_address join sys.dm_exec_requests as r on t.session_id=r.session_id cross apply sys.dm_exec_sql_text(r.sql_handle) as st cross apply sys.dm_exec_query_plan(r.plan_handle) as qp where os_thread_id=&lt;from process explorer high CPU thread&gt;