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sorry, I assumed that the "percentage" variable was the outcome variable - the predictors/covariates can be anything you want; if your percentage variable is not the (an) outcome variable, just use whatever regression you would normally use in that situation and, yes, include your percentage variable as a covariate/predictor/independent variable
for further advice, you need to follow the FAQ and show example data, using -dataex-, and describe what you want from your regression
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