You work for a consulting firm, and have submitted a bid for a large consulting contract. The firm's management thinks it has a 50-50 chance of landing the project.
In a few weeks, the agency to which the bid was submitted sent in a request for additional information. The firm's past experience indicates that the agency asked for additional information for 78.6% of successful bids and 20.4% of unsuccessful bids.
What is the probability that this particular bid will be successful, given that the request for additional information happened?
Enter answer in percents, accurate to two decimal places.