Correct term for percentage in decimal form I have 35% of something, but when I calculate how much that is I multiply the total by 0.35

Is there a unambiguous word for the decimal form of a percent? "Decimal" is too broad because it can refer to any number with a fractional component. "Fraction" suggests the format 35/100.
I am partial to what Omnomnomnom mentioned in a comment: it is a proportion, and the authoritative Oxford English Dictionary supports this terminology (snippet produced below):
If we look at the decimal $0.35$ and want a word to describe "$0.35$ of a number", we should notice that it would be convenient to describe it as a ratio, say $\frac{35}{100}$. That is, we have $35$ parts of a hundred. 
We can rephrase this as $35$ parts per hundred, and then use some Latin and get fancy to call this $35$ parts per centum. This is a bit too wordy, so I would propose that we shorten this even further to "$35$ per-cent".

Tldr: The word "percent" itself was invented to describe (almost) exactly what you want.