soak (someone or something) through
To make someone or something extremely or thoroughly wet, especially through multiple layers. Jane soaked my books through when she sprayed me with the garden hose on my way home from school. I hope the kids get home soon, or that rain is going to soak them through!
soak through something
[for liquid] to work its way through something, such as cloth or paper. Please wipe up that mess before it soaks through the tablecloth. It's too late. The grape juice has soaked through the carpet into the mat.
soak through
v. To drench someone or something: I forgot to cover my backpack, and now my sleeping bag is soaked through. The rainstorm soaked me through to the skin.