Lets say your company makes 4 different products, your client has another 3 different products from another 3 different companies.
Someday the client thought, why don’t we integrate all our systems into one huge system. Ten minutes later their IT department said that will take 2 years.
You (the wise developer) said, why don’t we just integrate all the different systems and make them work together? The client manager staring at you… You continued, we will use a Middleware, we will study the Inputs/Outputs of all different systems, the resources they use and then choose an appropriate Middleware framework.
Still explaining to the non tech manager
With Middleware framework in the middle, the first system will produce X stuff, the system Y and Z would consume those outputs and so on.