Electric Flux Questions (about the definition)

[AlphaLearner]

I can say that Electric Flux is Electric field passing per unit area perpendicular to electric field lines. But the formula came up as Φ = ∫ E⋅dA. Well, take the case of pressure! That is force acting per unit area perpendicular to direction of force. But it's formula came up as P = F/A.
Now my problem is, when both of those quantities are defined as some vector quantity acting per unit area perpendicular to direction of that vector, Why electric flux as product and pressure as quotient? The word "per" should bring 'Divided by' in mind but why product is taken for flux?

 

[Dale]

I can say that Electric Flux is Electric field passing per unit area perpendicular to electric field lines.

It is not the field per unit area, it is the field times the area.

 

[AlphaLearner]

It is not the field per unit area, it is the field times the area.

Thank you!