Step 1: Read Tata Chemicals' synthetic soda ash figures.
From the Tata Chemicals chart, synthetic soda ash production was \(0.7\) MT in 2006, \(2.2\) MT in 2007 and \(2.2\) MT again in 2008.
Step 2: Find the year-on-year change used in the question.
The question states that the world's total production increases, year on year, by exactly the amount Tata's synthetic production increases, year on year, in the same period. From 2007 to 2008, Tata's synthetic production goes from \(2.2\) MT to \(2.2\) MT, a change of \(2.2-2.2=0\) MT.
Step 3: Apply this to the world total.
Since the world's total is assumed to rise, year on year, by the same amount as Tata's synthetic change, and that change from 2007 to 2008 is \(0\) MT, the world's total production for 2008 must equal the world's total for 2007.
Step 4: Find the percentage change.
A change of \(0\) MT out of any nonzero base is a \(0\%\) change, so the world's total production did not increase at all from 2007 to 2008.
\[ \boxed{\text{Did not increase at all}} \]