PEI Was the Last Province to Make Reverse Calculation Genuinely Hard
Today a Prince Edward Island receipt is straightforward: 15% HST, one divisor of 1.15, one input tax credit. A $200.00 total holds $173.91 of goods and $26.09 of HST.
It was not always so. PEI was the last province to join the HST system, on April 1, 2013, and before that it ran the country's messiest sales tax arithmetic: a 10% provincial sales tax calculated on the GST-inclusive price — a tax on a tax. On a $100.00 purchase that meant 5% GST of $5.00, then 10% of $105.00, for $10.50 of PST and a $115.50 total. Reversing a pre-2013 PEI receipt therefore requires unwinding two compounding layers in the right order, not dividing by a single figure. Quebec ran a similar compounded system until it de-compounded in 2013; PEI solved the same problem by harmonizing instead.
