You are performing two chemistry experiments. the probability that both experiments are successful is 22%. if the first experiment is successful, the probability that the second experiment is also successful is 31%. what is the probability that the first experiment is successful?

There are numerous information's already given in the question. Based on those information's, the answer can be easily deduced. Let us now focus on the problem in hand.
Probability that both experiments become successful = 22%
Probability of the second experiment becoming successful = 31%
Probability that the
 first experiment becoming successful = 22/31
                                                             = 0.7096
Percentage that the first
experiment will become successful = 0.7096/100
                                                         = 70.97%