Question about percentage of ownership in tax sale- Louisiana

[Jenny Peters]

I'm a newbie considering bidding on a few properties at an upcoming tax title sale. I'm in Louisiana and I'm a little confused about the bid-down percentage method we use. In the unlikely event the owner goes the full 3 years without redeeming the property, how does having a lower ownership interest (say 1%, for example) in the tax title effect my rights to the property? What other liens would take priority over parish or city tax liens that could prevent me from from gaining full ownership? Anything else I should be aware of before I bid?

Sorry if this question has been answered elsewhere. I've done several searches and I'm not coming up with the answer I'm looking for.

[Reuben Gathright]

@Robert Leonard Here is an example of a spit tax notice after property tax auction in Louisiana.  

Property was auctioned off for unpaid 2014 taxes:

100% Parcel 00100595A

The following tax notices for tax year 2015 were sent out to the original owner and new tax title percentage owner:

2% Parcel 00100595A

98% Parcel 00100595A