Browsing through Wikipedia you wouldn't. However...
109E w/DB 601: 1,100 hp
109K w/DB 605DC: 2,000 hp
Increase in power from E to K: 81%
I-16 Type 4 w/M-22: 480 hp
I-16 Type 30 w/M-63: 1,000 hp
Increase in power from Type 4 to 30: 108%
The time lines can't be compared, but the I-16's performance increased significantly over its service life. So did its weight and armament.
1.) Your power rating on the M-63 engine is incorrect.
2.) You are comparing apples to oranges by citing the first production version of the I-16 and the fourth (beginning with the B model) production version of the 109.
-The first production I-16 was the Type 4. It was fitted with the M-22 engine developing 480HP.
-The last production I-16 was the Type 30. It was fitted with the M-63 engine developing 900HP, not 1,000HP.
-The first production Bf-109 was the B model. It was fitted with a Jumo 210D developing 660HP.
-The last production Bf-109 was the K-4. It was fitted with a DB605 developing 2,000HP.
The 108% power increase you are claiming for the I-16 is actually 87.5%. Your figure is inflated by 20.5%.
The 81% power increase you are claiming for the 109 is actually 203%. Your figure is deflated by 122%.
Giving you the benefit of the doubt by not rounding up, your net error (or 'gross' error - little finance humor for you) is 142%.