I'm at level 100 in sneak. Will the Jester's hat improve my sneak skill?

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If you have a sneak skill at 100, will the Jester's Hat further improve the sneak skill?
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How do you beat level 100 in sneak?
The fastest way to max level Sneak and SpeechHow can I improve my sneak skill?
PerksPerk (Ranks)RequirementsDescriptionSilenceSneak 70, Silent RollWalking and running does not affect detectionShadow WarriorSneak 100, SilenceCrouching stops combat for a moment and forces distant opponents to search for a target7 more rowsWhat does sneak 100 do in Skyrim?
I would recommend saving every few levels or so. Depending on how high your sneak level is, you should level up every second to fifth dagger attack. You should be at level 100 in under an hour, depending what your level was previously.Kendrick Lamar - i (Official Video)
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