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No, 0.01 is not written as 0.01% in percent rate. 0.01 in percent rate is 1%.
80 percent of 12 percent = 0.8 x 12 percent = 9.6 percent
For all decimals, you times it by 100 to turn it into a percent. So it is .01 * 100 = 1%
12 percent of 77 percent is 0.0924 or 9.24%
80 % = .8 and 1 % = .01 . So the answer is .8 times .01 = .008 = 8 tenths of one percent or 0.8 % .