Hit/strike home
Definition 1 of 2
Pro Tip 1/3Emotional Impact
Used when an event or message emotionally affects someone deeply. 
After losing the match, the coach's speech really hit home for the team.
Pro Tip 2/3Sudden Realization
It often reflects a moment of clarity or a profound understanding. 
Her story about the war hit home, and I began to understand the refugees' plight.
Pro Tip 3/3Not Literal
The phrase is figurative, meaning the effect is internal, not a physical 'hit'. 
His warning about health hit home after I had to climb those stairs panting.