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# how do i find the before tax number if example total is \$106 after 6% what equation will get me to before tax

I need to figure reverse tax from a total

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Tamara J. | Math Tutoring - Algebra and Calculus (all levels)Math Tutoring - Algebra and Calculus (al...
4.9 4.9 (51 lesson ratings) (51)
1

Let 'x' represent the cost before tax.

If the tax on something that costs x dollars is 6%, then the amount of tax on x is:

(6%/100%)x = (0.06)x

Since the total cost after tax is \$106, then

cost before tax + cost of tax = 106

That is,

x + 0.06x = 106

Combining like terms, we arrive at the following:

1.06x = 106

Divide both sides of this equation by 1.06 to solve for x:

1.06x/1.06 = 106/1.06

x = 100

Thus, the cost before tax is \$100.

You can check this be finding the cost of a 6% tax on something that cost \$100, doing so by the following:

100 · (6%/100%) = 100 · 0.06 = 6

So a tax of 6% on \$100 is \$6, which means that the total cost is the cost of the object before tax plus the tax amount. That is,

\$100 + \$6 = \$106

Kevin S. |
5.0 5.0 (4 lesson ratings) (4)
1

If the tax is 6%, then the total would equal 100% + 6% or 106%. So divide the total by 1.06 to get the pre-tax cost.