We present a measurement of the (W + \geq 1 Jet)/(W Inclusive) cross section ratio, R_10, in W -> e nu events for jet E_T thresholds ranging from 15 to 95 GeV. Using roughly 100 pb^-1 of data from the sqrt s = 1.8 TeV ppbar collisions at the Fermilab Tevatron Collider, we compare the measured values of R_10 to LO and NLO QCD predictions. Comparisons are made for both 0.4 and 0.7 jet cone clustering. Good agreement between data and theory is observed over a large range of jet E_T thresholds fore both cone sizes.