While Bill was rather disappointed with his yearly bonus, he still believed that his manager provided a clear and sufficient explanation about how his performance contributed to the bonus amount. Bill perceives a high degree of justice from the manager's behavior.

Distributive Justice.

Explanation:

Distributive justice, in simple terms, can be defined as an idea of fair distribution of resources. While distributing resources the things that are kept in mind are the total amount of resources, the process of distributing resources, and the result of this distribution.

In the given case, the distribution of bonuses is perceived as a distributive justice by Bill. Though Bill is disappointed, he still perceived that it was fair from the manager's perspective because he distributed bonuses according to his performance.

So, the correct answer is distributive justice.