1. An information processing system configured to include a plurality of storage monitoring servers communicatively coupled to each other that manages performance information, related to performance in a storage system that includes a storage apparatus and a host server that accesses the storage apparatus, and monitoring information to be monitored in the storage system, the storage monitoring servers each comprising: an information collecting unit that acquires the performance information and the monitoring information from a storage system; a distribution plan generator that determines the storage monitoring server to be responsible for managing individual performance information and individual monitoring information based on the performance information and the monitoring information acquired; and a distribution execution unit that transfers the individual performance information and the individual monitoring information to the storage monitoring server responsible for managing the individual performance information and the individual monitoring information according to a distribution plan determined by the distribution plan generator.