For the past five years, Soft Drop has been a popularly used grooming technique at the LHC, and has shown remarkable efficiency and robustness in reducing non-perturbative effects in jet substructure analyses. Strong coupling constant extractions are known to be contaminated by non-perturbative effects, despite being mostly performed on event shapes from $e^+e^-$ collisions. In this talk, I will discuss the phenomenological application of a more generalized Soft Drop algorithm, called Bottom-Up Soft Drop, to a family of event shapes at hadron colliders. Because commonly used event shapes are global observables, one must find a way to groom these event shapes without jet definitions. Bottom-Up Soft Drop is such an algorithm free from jet definitions, and has been shown to have similar or better efficiency compared to Soft Drop in reducing non-perturbative effects in LHC decay processes. Therefore, it is a natural grooming strategy to use on event shapes, and can potentially lead to state-of-the-art $\alpha_s$-extractions done at the LHC.