In $1973,$ Gordon Moore, one of Intel's founders, predicted that the number of transistors that could be placed on a single silicon chip

would double every $18$ months, equivalent to an annual growth rate of $59\%($i$.$e$.,{1\mathrm{.}59}^{1\mathrm{.}5}=2\mathrm{.}0).$ The first microprocessor was built in

$1971$ and had $2,200$ transistors. In $2019,$ the AMD Epyc chip contained $32$ billion transistors, $14\mathrm{.}5$ million times the number of transistors

$48$ years earlier.

What has been the annual compound rate of growth in processing power? How does it compare with the prediction of Moore's law?

Note: Enter your answer as a percent rounded to $2$ decimal places.