Knowledge-intensive organizations undergoing Industry 4.0 transformations face unprecedented behavioral and cognitive challenges as algorithmic systems increasingly mediate decision-making processes. This qualitative study examines how managers in knowledge-intensive organizations interpret, integrate, and respond to algorithmic knowledge within decision contexts characterized by technological complexity and data volatility.Through thematic analysis of secondary qualitative data from thirty organizational case studies, interviews, and practitioner narratives across digital consulting, advanced analytics, and technology-enabled service organizations, we identify critical behavioral dynamics shaping human-algorithm collaboration. Our findings reveal that managerial decision-making operates through three interconnected behavioral processes: interpretive sensemaking of algorithmic outputs, oscillation between algorithm appreciation and aversion contingent on organizational and decision contexts, and organizational adaptation mechanisms spanning cognitive supports, psychological safety, and distributed learning structures. Drawing on bounded rationality theory, cognitive load theory, and socio materiality perspectives, we develop an analytical framework explaining how technological complexity and data volatility mediate the relationship between managerial cognition and decision quality through psychological safety and organizational learning. We conclude that successful Industry 4.0 adoption in knowledge-intensive organizations requires deliberate attention to behavioral and organizational context factors, particularly psychological safety enabling risk-taking in algorithmic engagement, cognitive diversity fostering critical evaluation of algorithmic recommendations, and organizational learning structures supporting the development of algorithmic literacy. This research contributes to organizational behavior theory by articulating how digital complexity reshapes managerial cognition and organizational practice, and to practitioners by offering evidence-based strategies for managing human–algorithm complementarity during technological transitions.