How accurate is a CT scan (with contrast) at seeing a PE

Was in the ER all day yesterday with severe upper back pain that was making it hard to breathe (I likely pulled it a week ago when my back started hurting after pushups)

They did an EKG, a chest xray, and finally a CT scan with dye.

I know it's not full proof but I just need to he told it's likely the pain I'm still feeling isn't a PE since they looked at my insides with a CT scan, right?