SUI base carryover to successor employer

Curious to know how people are handling the acquisition of and existing company. State law defines us as the successor employer where we inherit everything from the predecessor employer, including work history, tax rates and experience rating. And we get credit for the wages paid by the predecessor for the first part of the calendar year. Predecessor employer has provided us with the payroll history for the current year paid by them. How can we setup these employees, particularly those who have exceed the SUI wage base, so that SUI taxable wages don't calculate?