You'd use the same spot vs hide checks you normally use. You wouldn't add the invisibility modifiers mentioned in the hide skill because there's no separate condition providing the invisibility prior to the hide check. That's why the hide skill is generally inferior to invisibility - a good spot check is all you need to foil it rather than a special power to see invisible.
For as long as the hide check exceeds the spot check, the hider gains the benefits listed under the invisibility condition against everyone whose spot check fails to beat the hide check: +2 on attack rolls vs sighted opponents and target loses Dex bonus to AC.