The Scattering and Neutrino Detector at the LHC (SND@LHC) started taking data at the beginning of Run 3 of the LHC. The experiment is designed to perform measurements with neutrinos produced in proton-proton collisions at the LHC in an energy range between 100 GeV and 1 TeV. It covers a previously unexplored pseudo-rapidity range of 7.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%%. The detector is located 480 m downstream of the ATLAS interaction point in the TI18 tunnel. It comprises a veto system, a target consisting of tungsten plates interleaved with nuclear emulsion and scintillating fiber (SciFi) trackers, followed by a muon detector (UpStream, US and DownStream, DS). In this article we report the measurement of the muon flux in three subdetectors: the emulsion, the SciFi trackers and the DownStream Muon detector. The muon flux per integrated luminosity through an 187.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%%18 cm7.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%% area in the emulsion is: 7.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%%The muon flux per integrated luminosity through a 317.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%%31 cm7.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%% area in the centre of the SciFi is: 7.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%%The muon flux per integrated luminosity through a 527.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%%52 cm7.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%% area in the centre of the downstream muon system is: 7.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%%The total relative uncertainty of the measurements by the electronic detectors is 67.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%% for the SciFi and 47.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%% for the DS measurement. The Monte Carlo simulation prediction of these fluxes is 20–257.2<η<8.4×21.5±0.1(stat)×104fb/cm2.×22.06±0.01(stat)±0.12(sys)×104fb/cm2×22.35±0.01(stat)±0.10(sys)×104fb/cm2%%% lower than the measured values.