EMB-170 pilot reported smoke in cockpit inflight.

Narrative

As we took off from ZZZ on our way to ZZZ1 climbing through 12;000 I noticed a strange smell. Shortly after; we both noticed smoke in the Flight Deck. While the Captain (CA) and I were processing what was going on and subsequently calling for the Quick Reference Checklist (QRC) SMOKE FIRE FUMES checklist and doing the memory items; the Flight Attendant (FA) called using the EMER call button. After putting our O2 masks on; we answered the call and she said they were also having smoke in the cabin. We said okay and that we were working on it and to keep us updated with any changes. At this point I was running the checklist while the CA was flying. We leveled off at 17;000. The checklist called to [request landing priority] and land. At this point we requested to go back to ZZZ1.After running through the first half of the smoke fire fumes checklist we got to the part where it said to deploy the rat and turn off integrated drive generators (IDGs). The CA and I discussed it and we did not see the need to do this as the smoke began to clear. Therefore; we reverted back to the smoke evacuation checklist. ZZZ Approach gave us vectors for the ILS XR approach. We coordinated with ATC to exit the runway and have crash fire and rescue inspect the aircraft from the outside. After they cleared us we continued to the gate safely. Provide more guidance as to which specific scenario it would be best to run the smoke fire fumes vs smoke evacuation.