Step 1: Alkaline (alcoholic) KMnO4 is a strong oxidizing agent that oxidizes any alkyl side chain on an aromatic ring, regardless of its length, as long as the benzylic carbon bears at least one hydrogen.
Step 2: n-Butylbenzene has the structure $C_6H_5-CH_2-CH_2-CH_2-CH_3$. The benzylic carbon, the $CH_2$ attached to the ring, has hydrogens available for oxidation.
Step 3: Vigorous oxidation cleaves the side chain completely, breaking every C-C bond beyond the ring-attached carbon and oxidizing that carbon straight to a carboxylic acid, regardless of how many carbons were originally in the chain.
\[ C_6H_5-CH_2CH_2CH_2CH_3 \xrightarrow{KMnO_4,\ \Delta} C_6H_5COOH \]
Step 4: The three extra carbons of the butyl chain are lost as carbon dioxide and water during this exhaustive oxidation; they do not survive as a shorter chain such as an acetic or propanoic acid derivative.
Step 5: The only organic product retained on the ring is the carboxylic acid directly bonded to the benzene ring, benzoic acid.
\[\boxed{\text{Benzoic acid}}\]