to be (more) precise

To be more accurate; to provide better or more correct details. You'll need to pay nearly $500 for various entry visas to get into the country—$485, to be precise. It seems like the political party is finally starting to gain some amount of clout in parliament, or, to be more precise, they have become less marginalized and disliked.

to be (more) preˈcise

(also more preˈcisely) used to show that you are giving more detailed and accurate information about something you have just mentioned: The shelf is about a metre long — well, 98 cm, to be precise. ♢ The problem is due to discipline, or, more precisely, the lack of discipline, in schools.