Budget Splitting Formula

I have to run payroll every two weeks, and part of the process involves calculating overtime for over 50 employees. The total amount of overtime hours for each employee is usually split on two or three budgets and after I calculate the budget splits, I have to enter these amounts into the payroll system. (The payroll system takes up to 2 decimal spaces.)

I have a spreadsheet set up for each employee, but what I've noticed is that the sum of the parts does not always equal the whole.

For example, Bob Goodworker worked 9 hours of overtime this pay period.

His budget split will be as follows:

Budget A (58.5%) = 5.27
Budget B (31.5%) = 2.84
Budget C (10%) = 0.90

However, 5.27 + 2.84 + .90 = 9.01

The payroll system only allows for numbers up to 2 decimal places.