Independently of check-out status of budget you've opened as explained in Open a budget, you can check-out task(s).
Check-out a task
Right-click a task, and then select Check-out.
Check-out all tasks
Click the first tasks and then hold SHIFT while clicking the last task.
Right-click any task, and then select Check-out.
Status of tasks
A task can be:
•Checked-in: the icon in the task's row looks like - with a small padlock in the bottom right corner. You cannot edit such task.
•Checked-out: the icon in the task's row looks like - a padlock is gone. You can edit such task.
•Checked-out with unsaved modifications: the icon in the task's row looks like - there are no padlock, there's a sparkle.