Hit upon

Pro Tip 1/3

Sudden Realization

Used when an idea or solution occurs to someone unexpectedly, often after effort.

I was puzzled for weeks, but then I hit upon the answer while showering.

Pro Tip 2/3

Creative Insight

Implies a creative or original thought that seems to appear out of nowhere.

The architect hit upon a unique design that completely changed the project.

Pro Tip 3/3

Eureka Moment

Can emphasize a moment of clarity, like the sudden 'Eureka!' in discovery.

The scientist hit upon a breakthrough while re-examining the data.