A "satisfactory explanation" means providing a clear and acceptable answer or reason that solves a problem or confusion. It is something that makes sense and meets the expectations or requirements of the situation. Full definition
This reason, like the others they had offered, did not seem to me a very satisfactory explanation. (religion-online.org)
Science still can not provide satisfactory explanations for some features of basic climate change, experts argue — and they want a global search for answers. (climatenewsnetwork.net)
Deposit is non-refundable if cancellation is made within 14 days of first boarding day, 30 days prior during our holiday periods, or is a no show without satisfactory explanation of circumstances. (doggyhaven.com)