I apologize for the title not being very clear, but that is the best I could think of to describe my question.

So, assume that I have three factors:

$\displaystyle a_0=1.1$

$\displaystyle b_0=0.7$

$\displaystyle c_0=1.31$

$\displaystyle T_0=a_0*b_0*c_0 = 1.0087 $

Then the 3 factors are changed:

$\displaystyle a_1=1.22$

$\displaystyle b_1=0.91$

$\displaystyle c_1=1.04$

$\displaystyle T_1=a_1*b_1*c_1 = 1.154608 $

How can I express how much the change of $\displaystyle a_0=1.1$ to $\displaystyle a_1=1.22$ effected the overall change from $\displaystyle T_0=1.0087$ to $\displaystyle T_1=1.154608$?

I'd like to be able say something like 45% of the change from $\displaystyle T_0$ to $\displaystyle T_1$ came from the change from $\displaystyle a_0$ to $\displaystyle a_1$,

25% of the change from $\displaystyle T_0$ to $\displaystyle T_1$ came from the change from $\displaystyle b_0$ to $\displaystyle b_1$,

30% of the change from $\displaystyle T_0$ to $\displaystyle T_1$ came from the change from $\displaystyle c_0$ to $\displaystyle c_1$

Thanks,