PERCENTAGE

100%=1

50%=1/2

33 ⅓ = 1/3

25%=1/4

20%=1/5

16 ⅔ = 1/6

40%=2/5

150%=3/2

125%=5/4

37.5% = 3/8

**for more see the below image:**

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TRICK 2** Most percents are in the form of small word problems, so just knowing what the words mean can be a HUGE help:

**Of:**Of means multiply.

**Is:**Is means equals.

**What:**What is the value you are looking for (i.e. the variable).

**From:**From means subtract.

**Less Than:**Less than means subtract

**More Than:**More than means addition As: As means a ratio.

**Into:**Into means divide.

Using the words above, we can set up an equation that should be simple enough to solve.

**QUESTION 1.** 20% of 54 is 9% of ?

**a. Substituting we get** – (.20 x 54) = .09 x n

**b. Simplifying we get **– (20 x 54)/9 = n. (Notice we can ignore the decimal places since there are the same number of decimal places in the denominator as in the numerator.)

**c.** (20 x 54) / 9 = 20 x 6 = 120.

**d. **The answer is **120. **

**QUESTION 2.** If x% of 140 is 16.8, then x = ?

**a. ** Substituting we get – 140x = 16.8. (Ignore the percent for the time being.Just know that we will have to change the decimal to a percent in the end.)

**b. **Solving we get x = 16.8/140 or x = 168/1400 which simplifies to 24/200 or 12/100 which is .12. Changing this to a percent we get 12. (Notice that I first divided by 7, then divided by 2. Also, there is no need, since we are dealing with percents, to simplify it to its most basic form.)

**c. ** The answer is 12.