TITLE: Why does $0.75 \times 1.25$ equal $0.93$ and not $1$?
QUESTION [18 upvotes]: If percentage points can equal decimal points, then $1.25$ should equal $125$% when multiplying $1.25$ by any number.
Therefore $125$% of $0.75$ should equal $1$ if $0.75$ is also $75$% of $1$. 
Am I missing something super obvious here or what?!
Please help. Thank you!

REPLY [3 votes]: Here is a picture of $0.75 × 1.25$:

Here it is again with the green rectangle in a different place: