You did every bit of the tough part, and did it masterfully.
Now, go back a few months or a year in your memory, to the time when 
you learned how to express a number as a percentage. Do you remember ? 
To change a number to a percentage, either multiply it by 100, or move the 
decimal point two places that way ===> . (The same thing.)
The number you got was correct. When you increase 1.09 to 1.29, you have 
increased the 1.09 by 0.1834862... of it. 
What percent of 1.09 is 0.1834862... of it ?
Change the number 0.1834862... to a percent . . . . . 18.34862... percent.
Usually, nobody cares about all those decimal places, so you usually just 
round it to the nearest 0.1 percent, or even the nearest whole percent.
What did the book say ? Approximately 18.3% ? OK. Round 18.34862...% to the
nearest 0.1. That's 18.3% .