Reset controllers have demonstrated their efficacy in enhancing transient responses, such as the overshoot and response time in motion control systems. Designing these systems to meet specific transient requirements requires a method for analyzing transient responses. However, the inherent nonlinearity of reset control systems presents challenges in this regard, limiting their widespread application. This study introduces a novel method for analyzing the step responses of closed-loop reset control systems. By decomposing the step response of the reset system into piece-wise functions, with each piece-wise function computed based on linear systems, this analysis method offers new insights into understanding reset systems. Experimental validation conducted on eleven reset Proportional-Integral-Derivative (PID) control systems implemented on a precision motion stage confirms the effectiveness of the proposed method. The experimental results also underscore the applicability of the method as a tool for selecting optimized parameters and reset control structures to achieve enhanced transient responses.