Systems, apparatuses, and methods for managing power allocation in a computing system. A system management unit detects a condition indicating a change in power is indicated. Such a change may be detecting an indication that a power change is either required, possible, or requested. In response to detecting a reduction in power is indicated, the system management unit identifies currently executing tasks of the computing system and accesses sensitivity data to determine which of a number of computing units (or power domains) to select for power reduction. Based at least in part on the data, a unit is identified that is determined to have a relatively low sensitivity to power state changes under the current operating conditions. A relatively low sensitivity indicates that a change in power to the corresponding unit will not have as significant an impact on overall performance of the computing system than if another unit was selected. Power allocated for the selected unit is then decreased.