Reverse sales tax calculator, Quebec
A $100.00 receipt in Quebec is $86.98 before tax and $13.02 of tax. You get there by dividing by 1.14975 — not by taking 14.975% off the total.
Quebec charges 9.975% QST beside the 5% GST — an odd rate with a real history, and one that is calculated on the price excluding the GST, not on top of it.
from $100.00 charged
| Price before tax | $86.98 |
| GST 5% | $4.35 |
| QST 9.975% | $8.68 |
| Total | $100.00 |
Combined rate 14.975%. The QST and the GST are both charged on the price before tax — neither is calculated on top of the other.
Why you cannot just subtract 14.975%
You have a receipt for $100.00 in Quebec and you need the price before tax. The instinct is to take 14.975% off the total. That gives $85.02, and it is wrong by $1.95.
The reason is that the tax was never calculated on $100.00. It was calculated on the smaller number — the pre-tax price — and then added. So to undo it you divide by 1.14975, not subtract a percentage. The right answer is $86.98 before tax and $13.02 of tax.
The error is proportional, so it grows with the receipt: on $10,000 it is $195.04. It is the single most common arithmetic mistake in expense claims, and it always goes the same way — understating the pre-tax cost, and therefore the tax you could claim back.
When you actually need this
Expense claims and bookkeeping. A business reclaims the GST/HST it paid as an input tax credit, and to do that it needs the tax split out. A till receipt that only shows a total forces the calculation.
Invoicing backwards from a round number. Quoting "$1,000 all in" means the price before tax is $869.75, not $1,000. Get that wrong on a quote and the difference comes out of your margin.
Checking a receipt. Dividing the total and comparing the tax line is the fastest way to spot a till charging the wrong rate — which happens most often in the months after a rate change.
The arithmetic, in full
For Quebec, with a combined rate of 14.975%:
Price before tax = total ÷ 1.14975
GST = price before tax × 0.05 · QST = price before tax × 0.09975
Worked on $100.00: $100.00 ÷ 1.14975 = $86.98, of which $4.35 GST and $8.68 QST.
Note that both taxes come off the same base. Reversing them one at a time — dividing by 1.05 and then by 1.09975 — would be undoing a compounding that never happened, and gives $86.60 instead of $86.98.
Where to go next
Questions
- How do I remove 14.975% tax from a total in Quebec?
- Divide by 1.14975. A $100.00 total is $86.98 before tax and $13.02 of tax. Subtracting 14.975% from the total instead gives $85.02, which is wrong by $1.95.
- Why is subtracting the percentage wrong?
- Because the tax was calculated on the pre-tax price, not on the total. Taking 14.975% off the total removes 14.975% of a bigger number than the one the tax was worked out on, so you take away too much. The error is proportional and grows with the receipt.
- Do I reverse the GST and the QST one at a time?
- No. Both were charged on the same pre-tax price, so you reverse them together with one division by 1.14975. Undoing them in sequence assumes a compounding that never happened and gives $86.60 instead of $86.98.
- Does this work for a receipt with exempt items on it?
- No, and that is the real limitation. If part of the bill was zero-rated — groceries, prescriptions — the tax was charged on only part of the total, and dividing the whole thing gives the wrong split. This works for a receipt where everything was taxable.