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Sales Tax and Total Price

Also known as total with tax · GST PST total · price plus tax

T=P (1+r)T = P\,(1 + r)
$
$

Worked example: $100 plus 13% tax → $113.00 total — press Try an example to run it live, then adjust anything.

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Grade 10Grade 10 Math

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Sales Tax and Total Price explained

PrT

Adding tax is easy: multiply by 1+r1 + r. A $100 job at 13% HST totals $113. Taking tax back out of a tax-included figure is where people go wrong, because the instinct is to subtract 13% of the total. Do that to $113 and you get $98.31, which is not the price you started from. The correct move is to divide: 113/1.13=100113/1.13 = 100.

The reason is that the tax was calculated on the smaller number, not the larger one. This matters whenever you quote all-in prices to residential customers and then have to report the pre-tax revenue, and it matters at every reconciliation between a cash drawer and a return. The shortcut worth memorising is that backing out a 13% tax means dividing by 1.13, or equivalently multiplying by 0.885.

Sales Tax and Total Price formula

T=P (1+r)T = P\,(1 + r)
Where
  • TT= Total including tax ($)
  • PP= Price before tax ($)
  • rr= Tax rate

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