This is how you see budgets in a particular project:
This is what it's going to look like on the client's side:
Notice the difference between what you see and what your client can see?
Clients can't see total revenue, profit, margin, invoicing, billable time, rate. The only thing they see is total price for the budget, and total time spent.
This is how you see budget details:
This is what the client sees:
This is how you see time entries:
This is what a client can see:
The obvious difference is that your view has 2 time columns, worked time and billable time.
Worked time is the actual worked time on a project. The same time entry can have a different worked and billable amount, whether you want to charge more or less.
The client can only see billable time.