If they have given you a total and a non-HDL total, someone, somewhere must have calculated or measured your LDL and triglycerides as they form part of both these totals. The Total cholesterol is the total of the HDL, the LDL and 46% of the trigs (in the UK). The non-HDL is the total minus the HDL.
My surgery always orders a full lipid panel (Total, HDL, LDL, Triglycerides) and from that they work out ratios.
Just a note on cholesterol tests. Even though you may be told it isn't necessary to fast, it actually IS necessary to fast. This is because if you have recently eaten, and especially if that food was fatty in some way, the triglycerides will be raised - they will be swimming about in your blood stream doing their job and will be increased in number. I always fast despite not being told to, and make sure I get a morning appointment.
Do you have print outs of your test results or on-line access? If not, maybe you could enquire about obtaining these.