While Twitter previously offered this level of detail for promoted tweets, the new analytics features allow users to see what kind of engagement their normal tweets are getting. From the main dashboard, you can see the number of impressions each tweet receives. Clicking on a post pulls up more info on the number of clicks, expands, replies, retweets and favorites it got.
If you want to play with the data yourself, you can export your organic and promoted tweet performance as a CSV file.
The previous version of Twitter’s analytics dashboard did have an option to see performance of non-promoted tweets, but it was buried deep within the interface and lacked the level of detail that today’s release includes. If you qualify for the new tweet activity dashboard, you can find it here.
➤Introducing organic Tweet analytics [Twitter]