In one case I know, the founders wanted the company they were working with, solve/improve their product using a new way of solving a problem. The company management didn't think the idea would work. The founders had enough courage to prove they were right, pitched in many, many hours to build a prototype and demo, convinced a few seed investors and VCs for small amount of money, and they were right. They then picked up enough market share for the competitors of the original company to take notice, and acquire them. You may find this path very common.
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In one case I know, the founders wanted the company they were working with, solve/improve their product using a new way of solving a problem. The company management didn't think the idea would work. The founders had enough courage to prove they were right, pitched in many, many hours to build a prototype and demo, convinced a few seed investors and VCs for small amount of money, and they were right. They then picked up enough market share for the competitors of the original company to take notice, and acquire them. You may find this path very common.