  The MICROSCOPE mission was designed to test the Weak Equivalence Principle
(WEP), stating the equality between the inertial and the gravitational masses,
with a precision of $10^{-15}$ in terms of the E\"otv\"os ratio $\eta$. Its
experimental test consisted of comparing the accelerations undergone by two
collocated test masses of different compositions as they orbited the Earth, by
measuring the electrostatic forces required to keep them in equilibrium. This
was done with ultra-sensitive differential electrostatic accelerometers onboard
a drag-free satellite. The mission lasted two and a half years, cumulating
five-months-worth of science free-fall data, two thirds with a pair of test
masses of different compositions -- Titanium and Platinum alloys -- and the
last third with a reference pair of test masses of the same composition --
Platinum. We summarize the data analysis, with an emphasis on the
characterization of the systematic uncertainties due to thermal instabilities
and on the correction of short-lived events which could mimic a WEP violation
signal. We found no violation of the WEP, with the E\"otv\"os parameter of the
Titanium and Platinum pair constrained to $\eta({\rm Ti, Pt})~=~ [-1.5 \pm
2.3~{\rm (stat)} \pm 1.5~{\rm (syst)}]~\times 10^{-15}$ at $1\sigma$ in
statistical errors.
