Why Quebec's Divisor Is Exactly 1.14975
Quebec's 9.975% QST rate looks like a typo until you know where it came from. Before 2013 the province charged a round 9.5% QST — but calculated it on the GST-inclusive price, a tax on a tax. On a $100.00 purchase that meant 5% GST of $5.00, then 9.5% of $105.00, which is $9.975. When Quebec de-compounded the system in 2013 and moved QST onto the same pre-tax base as GST, it set the rate at 9.975% precisely so the total burden would not move. The arithmetic that produced today's odd-looking rate is the arithmetic that keeps the combined figure at 14.975% and the reverse divisor at exactly 1.14975.
The practical consequence is that both taxes now sit on the same base, so a Quebec receipt splits cleanly. Divide the total by 1.14975 for the pre-tax price; the GST is that base × 5% and the QST is the base × 9.975%. Of the tax inside any Quebec total, roughly 33.4% is federal and 66.6% is provincial — a split you can rely on across every taxable purchase, which is not true in a PST province where exemption lists differ between the two taxes.
