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#### Calculating the Commissionable Part of a Gross Fare

If you're math-challenged, here's the simple formula: ​Total Sale divided by 1.(Tax Rate) = Base Room Rate

EXAMPLE: If the total bill is \$166.88 and the tax rate is 12%, then 166.88/1.12 will give you a base rate of \$149

FURTHER (for the TRULY math-challenged): \$149 x 10% means there's \$14.90 in commission (149 x .1)

And for those who need to see the work:
The total of the sale is \$166.88.  Tax is 12%.  I get 10% commission on the room rate.  How much will I make?

Room rate = R     Tax rate = .12    Total sale = 166.88

R + (.12 x R) = 166.88
R + .12R = 166.88

1.12R = 166.88

R=166.88/1.12  (divide each side by 1.12)
R=149   (room rate = \$149.00)
\$149 x .1 = \$14.90    (.1 = 10% commission)

What if you need to work it backwards?
Let's say you just got paid \$22.50 as your 75% cut of some commission on a room-only sale.  You're assuming commission was 10% of the base rate, but you don't know how much that was.
Well, if \$22.50 represents 75% of the total commission (C), the equation is 22.50=.75C.  Divide each side by .75 to find that C=30.

Now that we know \$30.00 is the total commission, we can make the equation 30 = 10% of R (where R is the room rate).  Divide each side by 10% (.1) and you have 300=R.  So, your \$22.50 commission payment was 75% of the 10% commission payment on \$300!

Still confused?