The best way to find out about the circumstances of offences or other information which may have been disclosed on a DBS check is to ask the applicant.
Under the Police Act 1997, the police have a legal obligation to provide the DBS with access to information held on the Police National Computer. The DBS has a duty to disclose that information on standard and enhanced DBS checks. If you have concerns about the information that has been disclosed by the DBS, or if it is not as you expected, you should discuss your concerns with the applicant/employee and carry out a risk assessment.
If there is a serious public protection issue, the police have the means to disclose such information to employers both with and without the involvement of the DBS. During an enhanced DBS check application, the police have an opportunity to disclose any other information that is deemed relevant to the role applied for.
Additionally, the police may disclose information to you (employers or regulatory bodies) outside of the DBS process in order to safeguard, or protect from harm, an individual, group of individuals or society at large. This will apply in a minority of cases: further details of the Common Law Police Disclosure scheme can be found here.