What is the best time tracking software tool for government R&D firms?

What is the best tracking tool for government R&D firms? To track and submit employee time for compensation we have to break total weekly hours down proportionally into a standard 40 hour work week. So for example, if in a week an employee spends 30 hours on project A and 20 hours on project B it would auto-adjust the government billable hours down to the same proportional 60% and 40% percentages in a 40 hour work week (24 and 16 hours) down to the results as shown below. Project A = 30 hours out of 50 total hours = 60% of time = 60% x 40 hour work week=24 proportional hours Project B = 20 hours out of 50 total hours = 40% = 40% x 40 hour work week=16 proportional hours We're calculating this manually now and it's time-consuming. Is there an…