The amount the claim was settled at will include all costs paid by the insurer, so the amount you received plus any fees they incurred such as a loss adjuster, engineer etc. A breakdown may help you to understand what they paid out, but it won't be of much use other than that. If you are looking for alternative insurance quotes then the insurance companies you approach will want to know the total paid out, ie including all fees, as this will help them to calculate their premium.