Permeate (verb)

1. To spread or diffuse through.
2. To penetrate and spread throughout.

Origin:

Late latin permeare, from latin per- through + meare to go.

Examples:

1. The smell of fresh baked bread permeated throughout the house.
2. The music permeated the entire concert hall.
3. His ideas permeated throughout the organization.
4. The water permeated the soil and reached the roots of the plants.
5. The odor of the smelly cheese permeated the whole room.