FDPs and Algebraic Translations

Fractions, decimals, and percents show up in many Algebraic Translations problems. Make sure that you understand and can apply the very common translations shown here:

In the Problem	Translation
X percent
of	Multiply (usually)
of Z	Z is the Whole (percents)
Y is X percent of Z	Y is the Part, and Z is the Whole
Y is X percent of Z
A is of B
C is 20% of D	C = (0.20)D
E is 10% greater than F
G is 30% less than H
The dress cost $J. Then it was marked up 25% and sold. What is the profit?	Profit = Revenue – Cost Profit = (1.25)J – J Profit = (0.25)J
ratio of X to Y	X/Y