Percent Effect of variables in equation

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To determine the percentage or weight of each variable in the equation BBC = (X+1)*(a*b*c)/(U*V), one should take the partial derivatives of each variable. This approach reveals the effect of each variable on the overall value of BBC. If variables are correlated, incorporating correlation coefficients is necessary for accurate assessment. Additionally, when variables have Gaussian uncertainty distributions, summing the terms in quadrature provides the total variance for BBC. The weight of each variable can vary depending on the specific values at which the function is evaluated.
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Anyidea on how to obtain the percentage or weight of each variable in an equation?

for example:

BBC = (X+1)*(a*b*c)/(U*V)

what would each variable X,a,b,c,U,V weight in percentage in equation BBC?

Appreciate it.
 
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Take the partial derivatives of each variable to get its effect on the value of BBC. If any of the variables are correlated, then it is a little more complicated; you will need correlation coefficients.
If all of the variables have gaussian uncertainty distributions, then all the terms should be summed in quadrature to get the total variance on BBC.
 
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Maybe one should note that the weight depends on the values at which the function is evaluated.
 
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