Ribit: It ain't that simple.
The Reagan tax policies took place over a number of years under economic circumstances ranging from an early recession to later prosperity. Over the 1980s, his tax policies were constantly modified depending on circumstances with both good and bad consequences. A few loopholes were closed, taxes were increased (capital gains, FICA, and others) and tax rates were sharply reduced over time.
On a positive note, Reagan ended the stagflation, inflation, and the oil embargo from the 1970s. On a negative note, the difference in income between the top 10% and rest of our people increased dramatically. This difference was so dramatic that the top 10% paid a greater percentage of the nation's income tax than previously even though they paid at a lower rate. This happens when rich folks get the lion's share of the nation's income (as well as its wealth).
There are books (unfortunately written mostly by idealogues from the left or the right) on the Reagan tax programs. You might review the charts in the link below:
http://www.ritholtz.com/blog/2010/09/reagan-tax-increases/
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