The interaction between charged objects in an electrolyte solution is a fundamental question in soft matter physics. It is well-known that the electrostatic contribution to the interaction energy decays exponentially with object separation. Recent measurements reveal that, contrary to the conventional wisdom given by classic Poisson-Boltzmann theory, the decay length increases with ion concentration for concentrated electrolytes and can be an order of magnitude larger than the ion diameter in ionic liquids. We derive a simple scaling theory that explains this anomalous dependence of the decay length on ion concentration. Our theory successfully collapses the decay lengths of a wide class of salts onto a single curve. A novel prediction of our theory is that the decay length increases linearly with the Bjerrum length, which we experimentally verify by surface force measurements. Moreover, we quantitatively relate the measured decay length to classic measurements of the activity coefficient in concentrated electrolytes, thus showing that the measured decay length is indeed a bulk property of the concentrated electrolyte as well as contributing a mechanistic insight into empirical activity coefficients.The structure of electrolytes near a charged surface and the resulting force between charged surfaces in an electrolyte solution is a fundamental question in soft matter physics. This question also underpins a plethora of applications, from supercapacitors [1] to colloidal selfassembly [2]. The classic Debye-Hückel theory [3], valid only for dilute electrolytes, predicts that the interaction between two charged surfaces in an electrolyte decays exponentially with the surface separation [4] with a decay length, called the Debye length, given bywhere is the dielectric constant of the medium (which is ion concentration-dependent), k B the Boltzmann constant, T the temperature, q the ion charge, c ion the ion concentration, andis the Bjerrum length. The Bjerrum length is the distance at which the interaction energy between two ions in a dielectric medium with dielectric constant equals the thermal energy unit k B T . The Debye-Hückel theory is a mean-field theory for asymptotically dilute electrolytes, i.e. where l 3 B c ion 1, so that the ion-ion separation is far greater than the Bjerrum length and thus the Coulomb interactions can be treated as a perturbation to ideal gas behaviour.The physical picture is less clear for concentrated electrolytes: Recent surface force balance (SFB) studies show that the interaction force between charged surfaces in an ionic liquid (molten salt at room temperature) decays exponentially, but with a decay length that is orders of magnitude longer than the Debye length or the ion diameter [5][6][7][8]. The screening lengths in concentrated inorganic salts are also long and increase with electrolyte concentration [8], in direct opposition to the prediction of the Debye-Hückel theory. Therefore, the anomalously long screening length is not a curiosity associated with ionic liquid chemistry, ...