Silver Lake, the investment company, will buy shares in the Hollywood and sports firm that it doesn’t already own, valuing Endeavor at $13 billion.

Endeavor, the sports and entertainment company led by the Hollywood super agent Ari Emanuel, said on Tuesday that it planned to go private with the help of Silver Lake, the investment firm that has been its longtime financial backer.

Under the terms of the deal, Silver Lake will buy the shares in Endeavor that it doesn’t already own for $27.50 a share in cash. That price is 55 percent above where Endeavor’s shares were trading on Oct. 25, the day before the company said it was weighing deal options.

The deal values Endeavor, including its debt, at $13 billion.

The long-awaited transaction is meant to usher in a new era for Endeavor, whose ambitious growth story failed to gain traction on Wall Street.

For more than a decade, Mr. Emanuel and

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