For example, if you want to be able to read 1000MB/sec, but your consumer is only able process 50 MB/sec, then you need at least 20 partitions and 20 consumers in the consumer group. Similarly, if you want to achieve the same for producers, and 1 producer can only write at 100 MB/sec, you need 10 partitions. In this case, if you have 20 partitions, you can maintain 1 GB/sec for producing and consuming messages. You should adjust the exact number of partitions to number of consumers or producers, so that each consumer and producer achieve their target throughput.
So a simple formula could be:
#Partitions = max(NP, NC)
where:
NP is the number of required producers determined by calculating: TT/TP
NC is the number of required consumers determined by calculating: TT/TC
TT is the total expected throughput for our system
TP is the max throughput of a single producer to a single partition
TC is the max throughput of a single consumer from a single partition
source : https://docs.cloudera.com/runtime/7.2.10/kafka-performance-tuning/topics/kafka-tune-sizing-partition-number.html