Fresh Arctic waters flowing into the Atlantic are thought to have two primary fates. They may be mixed into the deep ocean as part of the overturning circulation, or flow alongside regions of deep water formation without impacting overturning. Climate models suggest that as increasing amounts of freshwater enter the Atlantic, the overturning circulation will be disrupted, yet we lack an understanding of how much freshwater is mixed into the overturning circulation's deep limb in the present day. To constrain these freshwater pathways, we build steady-state volume, salt, and heat budgets east of Greenland that are initialized with observations and closed using inverse methods. Freshwater sources are split into oceanic Polar Waters from the Arctic and surface freshwater fluxes, which include net precipitation, runoff, and ice melt, to examine how they imprint the circulation differently. We find that 65 mSv (1 Sv ≡ 106 m3 s−1) of the total 110 mSv of surface freshwater fluxes that enter our domain participate in the overturning circulation, as do 0.6 Sv of the total 1.2 Sv of Polar Waters that flow through Fram Strait. Based on these results, we hypothesize that the overturning circulation is more sensitive to future changes in Arctic freshwater outflow and precipitation, while Greenland runoff and iceberg melt are more likely to stay along the coast of Greenland. Significance Statement: The Atlantic's overturning circulation is a vast system of currents that redistributes heat, salt, and carbon, stabilizing Earth's climate. The water in this circulation system cools and sinks into the deep ocean in the high-latitude North Atlantic, where freshwater is also introduced to the system through river runoff from the Arctic, precipitation, and ice melt. We use new observations to quantify how this freshwater moves through the ocean. As Earth warms due to anthropogenic climate change, freshwater flows will increase, potentially triggering a fundamental shift in the overturning circulation and climate system. Our results suggest that the overturning circulation is more sensitive to changes in Arctic freshwater and precipitation than Greenland melt. [ABSTRACT FROM AUTHOR]