BE-400 flight crew reported loss of hydraulic fluid in cruise. Flight crew diverted and landed uneventfully.

Narrative

Flying Aircraft X out of ZZZ to ZZZ1 We reached 380 climbing to 400 and we got a hydraulic level low annunciation. We grabbed the checklist and completed the appropriate checklist. About 2 min later we got a R hydraulic pump pressure annunciation. And then; a couple minutes later we got a L hydraulic pump pressure annunciation. We ran the correct checklist and decided to divert to ZZZ2. In the descent our pressure gauge started depleting to 0 (was reading normal up until this point.) We knew this was getting serious and we must land ASAP. We [requested priority handling] landing for hydraulic failure. We continued to follow checklist step by step. We were able to get the gear down and flaps 10. We did not attempt to put in further flaps in case of a go around. Once we landed; I had some breaks left and was able to come pretty much a complete stop before completely using breaks on Runway XX at ZZZ2. Thankfully we were already stopped and the firemen chocked the plane and assisted us. We did not have to do emergency gear extension or emergency breaks. After some inspection (not complete yet) we think it was a right hydraulic line rubbing against the cowling somehow to cause it to sever and have a hydraulic leak. Me and my FO followed procedure and did what we were trained to do. I am happy with our performance and proud we got us and our passengers down safe.