How to interpret original data after transformation to normality (discriminant analys

Dear statisticians,

Currently i am writing my thesis about business diagnosis.

I got big list of companies with their financial data. These data are used to calculate financial ratio's like NITA (net income/total assets). I want to apply discriminant analysis (DA) on these financial ratio's to classify the companies as bankrupt (stressed) and non-bankrupt. One of the assumptions of DA is that the data is normally distributed. I normalized these financial ratios using: and then applied DA.

After i have done this, i want to trace back to the original data. How can i do this?

Also, after applying DA on the normalized financial ratio, can i calculate a discriminant score by using the original data even though the discriminant function is based on its normalized data?