The Florida Secretary of State web page updates voter registration on a daily basis. Unfortunately, these updates only show the number of Democrats, the number of Republicans, and the number of all other voters. The July 23 2017 figures are: Democratic 4,845,863; Republican 4,566,956; all others 3,476,693. One can see them at the very top of the page at this link.
The current percentages are: Democratic 37.60%; Republican 35.43%; all others 26.97%. The November 2016 percentages were: Democratic 37.91%; Republican 35.37%; all others 26.71%.
The Secretary of State’s office says it hopes to improve its voter registration data, so that in the future data for all qualified parties will be available.