The phrase "unimportant details" refers to small or specific pieces of information that are not significant or relevant to the main point or subject being discussed. Full definition
The art of «pre-suasion» is a sort of verbal ninjutsu where subtle turns of phrase, seemingly insignificant visual cues, and apparently unimportant details of location can prime people to say «yes» even before they are asked. (creativeboom.com)
«He was so focused on what seemed like unimportant details for the general manager of a football team,» she said. (kansascity.com)
These may seem like unimportant details for a field like nursing or massage therapy, but showing that you are attentive to detail in your resume can assure the employer that you will be just as meticulous about your work. (blog.kickresume.com)