The Japanese restaurant operator will offer up to 77.68 million shares at an indicative price of JPY1,450 ($14) per share, said the exchange this week.
This includes an share extra allocation in the case of exceptional demand.
If the company raises $1.1bn at IPO it will have an estimated market value of $2.7bn.
Skylark was bought by Bain in a take-private deal worth $2.1bn in October 2011.
Before that it was held by London-based firm CVC which held a stake in Skylark following a $10.6bn Asia Pacific focused buying spree in 2006, but lost it in 2009 after failing to repay a loan owed to Chuo Mitsui Capital.
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