mid-14c., "in agreement with" (now obsolete), from according + -ly (2). From mid-15c. as "properly, adequately;" meaning "agreeably with logic or expectation" is from 1680s.
continued to have severe headaches and accordingly returned to the doctor
she acted accordingly
accomplishment
accord
accordance
accordant
according
accordingly
accordion
accost
accouchement
accoucheur
account