The query below shows how many tables without primary keys there are in the user databases (schemas), and what percentage of the total tables represents.
Query
Generic query for the specified database (schema)
select count(*) as all_tables,
       count(*) - count(tco.constraint_type) as no_pk_tables,
       cast( 100.0*(count(*) - count(tco.constraint_type)) / count(*)
            as decimal(5,2)) as no_pk_percent
from information_schema.tables tab
left join information_schema.table_constraints tco
          on tab.table_schema = tco.table_schema
          and tab.table_name = tco.table_name
          and tco.constraint_type = 'PRIMARY KEY'
where tab.table_type = 'BASE TABLE'
    -- and tab.table_schema = 'database_name' -- put your database name here
      and tab.table_schema not in('mysql', 'information_schema',
                                  'sys','performance_schema');
Columns
- all_tables - number of all tables in the database (schema)
- no_pk_tables - number of tables without a primary key
- no_pk_percent - percentage of tables without primary key
Rows
The query returns just one row.
Sample results

 
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                     
                                                                 
                                                             
                                                             
                                                             
                                                             
                                                                 
                                                             
                                                             
                                                                 
                                                             
                                                             
                                                             
                                                             Bart Gawrych
                                                                        Bart Gawrych
                                 MariaDB
                                                                MariaDB
                                 SQL Server
                                                                                                SQL Server
                                             Azure SQL Database
                                                                                                Azure SQL Database
                                             Oracle database
                                                                                                Oracle database
                                             Snowflake
                                                                                                Snowflake
                                             Amazon Redshift
                                                                                                Amazon Redshift
                                             IBM Db2
                                                                                                IBM Db2
                                             Teradata
                                                                                                Teradata
                                             Vertica
                                                                                                Vertica
                                             PostgreSQL
                                                                                                PostgreSQL
                                             MySQL
                                                                                                MySQL