I think we're going to have to ask you to fill us in on quite a few pertinent details.
"Surely you learned all the pertinent details from my message?"
The story was descriptive rather than informative and gave out few pertinent details.
A good first officer knows all pertinent details about the crew.
He found out the truth about who was in charge of the drug dealing, and other pertinent details.
The Head talked to them for a little while longer, giving them the pertinent details of the case.
"He just left out a few pertinent details toward the end."
I had too many pertinent details about those four days we'd spent together.
He began mentally to tick off the situation's pertinent details, to help himself to form a plan.
In a very short space, you need pertinent details while knowing what to leave out.