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We present the results of a realistic global fit of the Lagrangian parametersof the Minimal Supersymmetric Standard Model assuming universality for thefirst and second generation and real parameters. No assumptions on the SUSYbreaking mechanism are made. The fit is performed using the precision of futuremass measurements of superpartners at the LHC and mass and polarizedtopological cross-section measurements at the ILC. Higher order radiativecorrections are accounted for whereever possible to date. Results are obtainedfor a modified SPS1a MSSM benchmark scenario but they were checked not todepend critically on this assumption. Exploiting a simulated annealingalgorithm, a stable result is obtained without any a priori assumptions on thevalues of the fit parameters. Most of the Lagrangian parameters can beextracted at the percent level or better if theoretical uncertainties areneglected. Neither LHC nor ILC measurements alone will be sufficient to obtaina stable result. The effects of theoretical uncertainties arising from unknownhigher-order corrections and parametric uncertainties are examinedqualitatively. They appear to be relevant and the result motivates furtherprecision calculations. The obtained parameters at the electroweak scale areused for a fit of the parameters at high energy scales within the bottom-upapproach. In this way regularities at these scales are explored and theunderlying model can be determined with hardly any theoretical bias. Fits ofhigh-scale parameters to combined LHC+ILC measurements within the mSUGRAframework reveal that even tiny distortions in the low-energy mass spectrumalready lead to inacceptable chi^2 values. This does not hold for ``LHC only''inputs.Comment: 25 pages, 5 figure

Determination of MSSM parameters from LHC and ILC observables in a global fit