If you want to show the benefits of continuous process improvement, begin with one success and use it show the organization the benefit of the change.
I get it. Your organization is confronted with quality issues and you want a fast solution. Much like everyone wants a quick solution to the current crisis we are facing. But process improvement is not fast, it takes time and through research into the problem.
The process of continuous process improvement is like your high school science class and its experiments.. It takes one step at a time which leads you to the next step. When we are trying to show the organization as a whole that our improvement efforts are worth it we begin with small successes. Look at the improvement in performance metrics that HR did, let me show you the way they did it so you can apply the same process to your department.
This is how we demonstrate the value of the improvement efforts. We begin with one segment of the organization and then carry those successes on to the next segment, one segment at a time. We walk to continuous process improvement like a marathon, not as a sprint.