Sql-server – 100% index fragmentation

I am hitting database performance issues, so we rebuilt all our indexes as we haven't been doing a great job maintaining them.
Rebuild ran for about 20 minutes.
Then I found a query to see how my indexes are looking

SELECT 
t.NAME 'Table name',
i.NAME 'Index name',
ips.index_type_desc,
ips.alloc_unit_type_desc,
ips.index_depth,
ips.index_level,
ips.avg_fragmentation_in_percent,
ips.fragment_count,
ips.avg_fragment_size_in_pages,
ips.page_count,
ips.avg_page_space_used_in_percent,
ips.record_count,
ips.ghost_record_count,
ips.Version_ghost_record_count,
ips.min_record_size_in_bytes,
ips.max_record_size_in_bytes,
ips.avg_record_size_in_bytes,
ips.forwarded_record_count
FROM 
sys.dm_db_index_physical_stats(DB_ID(), NULL, NULL, NULL, 'DETAILED') ips
INNER JOIN  
sys.tables t ON ips.OBJECT_ID = t.Object_ID
INNER JOIN  
sys.indexes i ON ips.index_id = i.index_id AND ips.OBJECT_ID = i.object_id
WHERE
AVG_FRAGMENTATION_IN_PERCENT > 0.0
ORDER BY
AVG_FRAGMENTATION_IN_PERCENT, fragment_count

So most of my indexes have an average percentage fragmentation <1
But I have about 10 that are 85%, and another 10 that are 100%

I am no dba, and understand very little about what I am doing here, but surely this is very bad?

Also worth noting that the 100%'s are all primary keys

Am I in a world of trouble, or is my understanding of the stats incorrect?

note: worth mentioning my database is 24gb, and my drive has 46gb free out of 115gb

EDIT: as requested reindex script below

DECLARE @TableName VARCHAR(255)
DECLARE @sql NVARCHAR(500)
DECLARE @fillfactor INT
SET @fillfactor = 80
DECLARE TableCursor CURSOR FOR
SELECT OBJECT_SCHEMA_NAME([object_id])+'.['+name+']' AS TableName
FROM sys.tables
OPEN TableCursor
FETCH NEXT FROM TableCursor INTO @TableName
WHILE @@FETCH_STATUS = 0
BEGIN
print @TableName
SET @sql = 'ALTER INDEX ALL ON ' + @TableName + ' REBUILD WITH (FILLFACTOR =     ' + CONVERT(VARCHAR(3),@fillfactor) + ')'
EXEC (@sql)
FETCH NEXT FROM TableCursor INTO @TableName
END
CLOSE TableCursor
DEALLOCATE TableCursor
GO

results of original index fragmentation qry attached as requested
results