Here is an explanation and some charts illustrating your point. Although the reversal began with FDR, it wasn't "complete" -- both party identification and actual voting preference -- until Truman.
![](https://cdn.factcheck.org/UploadedFiles/Black_Vote_Pres.jpg)
![](https://cdn.factcheck.org/UploadedFiles/Black_Party_ID7.jpg)
I notice that the source article from FactCheck is from 2008, so it leaves out the years that would have shown a surge in blacks voting GOP for Trump.