"Transition to" vs. "transition into"

What is the correct phrasing:

transition into

vs

transition to

Can you explain why?

Here’s the context:

In partnering with us, businesses can transition to/into a digital publication etc.

Solution 1:

I feel "transition into" implies more significance to the occurrence. "Transition to" might be be a lesser or perhaps more common change.

Like the difference between the act of adapting to a given circumstance and the act of changing one's nature.

• She managed the transition to public school quite well.

• The caterpillar will make the transition into a butterfly.

Solution 2:

Since I'm old hat, I suggest that 'transition' is not yet a verb and so, neither example is grammatically correct.

Solution 3:

"Transitioning to" implies that the subject is going from one place to another (perhaps instantly) while "Transitioning into" implies that the subject is going through a process to become, or to do, something else.

I believe "into" is what you would use to describe how a business can become something better with the process of combining with your institution.