I think it's 50% of 50%, so in actuality, it's 75%.
Yup, in other words, the 50% from gear/enchanting is factored in AFTER the reduction from perks (it's multiplicative rather than additive). It's how most things work in WoW too. So for example:
Original Base Spell Cost: 100mana
Reduced Base Spell Cost (due to perks, 50%): 50mana
Then character puts on 2 pieces of gear, each with 25% spell cost reduction enchant. I think that part is additive, so you'd take 25+25 = 50% and apply it to the already-reduced cost of 50mana, so that the new spell cost is 25mana.
This is one of the reasons people complain about the magic perk trees -- once you get your enchanting up, it makes half the perks (the ones that reduce the cost of each spell level by x%) pointless.