Private-equity firm Thoma Bravo LP is tapping its newest and largest fund to date as it plans to take Coupa Software Inc. private in an all-cash acquisition with an enterprise value of $8 billion.

The cloud-based business-spend management platform said Monday that its shareholders will be paid $81 a share, which represents a 77% premium to Coupa’s closing price Nov. 22, the last full trading day before media reports of a potential takeover surfaced.