Calculate percentages to be able to apply Fisher's exact test

I have a 2x2 contingency table, but the total sample size is too large to be able to directly apply Fisher's exact test (as it involves factorials, so I'll obtain NaN or infinity).
I know I could use chi.square instead, but I wanted to provide Fisher's exact test results.

Could it be appropiate and acceptable to firstly transform the contingency table in percentages, so sample size=100, then apply Fisher's exact test?

Thank you very much for any help!