If you have a letter of recommendation or performance review from a previous employer that describes your attention to detail, let the interviewer know when responding to this question. When a former employer or supervisor comments on your attention to detail, it carries more weight than when you describe yourself. If you do not have a letter or performance review, give an example of why you consider yourself a detail-oriented person.

"Yes, I am very detail-oriented. I am so much so that my college professor asked me to work as his assistant correcting and filing papers and inputting data into spreadsheets. I have a letter of recommendation from him that highlights my attention to detail if you would like a copy for your records."