I think it is used with the following meaning,
[complete][1]:
- Absolute; thorough: complete control; a complete mystery.
(AHD)
Complete:
- Of an action, state, or quality: Realized in its full extent; entire, thorough.
Early usage samples
examples:
- 1645 Ord. Lords & Com., Susp. fr. Sacram. 1 Sincerely to endeavour the compleat establishment of Purity and Unity.
- 1663 Gerbier Counsel 19 A man of compleat stature.
- 1727 De Foe Syst. Magic i. iv. (1840) 115 The greatest and best principles are often illustrated..by their completest contraries.
(OED) [1]: http://www.thefreedictionary.com/complete