In one embodiment, the invention provides a stable peracid bleach composition comprising discrete granules which comprise peracid, namely, diperoxydodecanedioic acid. In another preferred embodiment, enzymes are present in the composition separate from the discrete peracid granules. In both the enzyme-containing and non-enzyme containing compositions, peracid and exotherm control agents are combined in a discrete granule in which the amount of water is carefully controlled to result in, respectively, maximum peracid and enzyme stability. Standard bleaching composition adjuncts such as fillers, brighteners, pH control agents and the like may be included in the compositions apart from the discrete peracid granules.