The present invention is drawn to disinfectant or sterilant compositions, which are human safe, e.g., food grade or food safe. In one embodiment, an aqueous disinfectant or sterilant composition can comprise an aqueous vehicle, including water, from 0.001 wt % to 50 wt % of a peracid, and from 0.001 wt % to 25 wt % of a peroxide. Additionally, from 0.001 ppm to 50,000 ppm by weight of a transition metal based on the aqueous vehicle content can also be present. The composition can be substantially free of aldehydes. Alternatively or additionally, the transition metal can be in the form of a colloidal transition metal.