the-elder-scrolls-v-skyrim
I was making a set of Fortify Alchemy to 29% to be able to create stronger enchantments. For some reason my Fortify Alchemy gear only goes to a maximum of 23% and I've read/seen people creating enchantments with a 29% bonus.
I have 100 Alchemy skill and 100 Enchantment skill with all the necessary perks.
I was trying to do this: http://elderscrolls.wikia.com/wiki/Enchanting_(Skyrim)#Exploit
Unlike in Oblivion, you can stack skills over 100 with a combination of enchanting and alchemy.
You can easily wind up with something like this:
There's not enough recursion within the enchanting / alchemy skills to increase arbitrarily high, but you can definitely get some pretty nuts items regardless.
SOLUTION!!!
I can confirm that I too had this issue on the PS3. No matter what I did I could not get above 22% in my items with same information you have given.
I went into game data on the ps3 menu and deleted the game data and the game update for Skyrim. Launched the game and let it patch and reinstall the game. I then went straight to an enchanting table and with no enchanting gear I could create +25% alchemy gear using Grand Gems alone.... I edited a section on Wiki about bugs and stated that I confirmed a solution to this problem.
Best Answer
You can raise your Enchantment skill above 100, by using potions that increase your Enchantment skill.
To get the maximum possible enchantments you need to raise your Alchemy skill to the highest level. You can create Fortify Alchemy enchantments that will increase the effect of your potions considerably.
So you should first create a set of Apparel that gives you the highest possible bonus you can currently achieve to Alchemy. Use that set to create a batch of Fortify Enchanting potions. Now your enchantments should be stronger when you use the potions just before enchanting your gear.
You will have to do a few rounds of enchanting and creating potions if you're after the maximally possible effect. So, use your enchanted alchemy gear to create an enchanting potion. Then use that potion to create better Fortify Alchemy gear. Now you can use that improved gear to create a better enchanting potion, repeat until no more improvement is visible.
There are diminishing returns, so you won't be able to increase your stats infinitely.