I have extracted factor score for perception factor as dependent variable now I want to perform regression of demographic variables (Categorical) on this Perception Variable (Numerical) so which type of regression is suitable and how to perform it?
Give an example of your perception variable. The methods depend on it. See: https://www.google.com/search?q=What+regression+method+do+I+choose&oq=What+regression+method+do+I+choose&aqs=chrome..69i57.17879j1j7&sourceid=chrome&ie=UTF-8
If means & SDs are sensible and defensible for descriptive purposes, I would use ANOVA, given that all explanatory variables are categorical. How to perform it depends on what software you are using.
If you performing a regression of demographic variables on the perception variable it means that the demographic variables are the dependent variables and the perception variable is the independent variable, not the other way round. There is a mix up.
Since you have one Dependent variable (Numeric) and one Explanatory variable (Categorical) then your study typically reflects One-Way Analysis of Variance (ANOVA). Therefore, I will suggest ANOVA as a best practice for your analysis.
As an alternative to ANOVA, you can consider using dummy-variable regression approach. That is; you first create dummy variables out of your categorical predictors and then you regress your dependent variable on these dummy variables. This is relatively simple to do using software like R and Stata.