It's not as simple as that. That is the amount from council tax that goes to fund the police and fire services but is not the only source of income for those services.
In the case of police forces:
Police forces in England and Wales are each given funding from 3 main sources: Home Office Department for Communities and Local Government (DCLG) or the Welsh Assembly Government police precept component of local council tax
For example Avon and Somerset Police income for 2016-2017:
Funding from central government £178m Amount paid by council tax £98m
In the case of Avon Fire Authority the majority of the funding comes from council tax and business rates but there is some from central government. Info from:
Local councils receive sunstantial funding from central government.
Somerset County Council Statement of Account 2015 - 2016:
It is important to note that the contribution from the local community through the Council Tax represents just 24% of our revenue funding needs.
(I chose Avon and Somerset Police because it was top of an alphabetical list!)