## Wednesday, December 18, 2013

### Angel's Percent Post

A percent is an equivalent fraction out of 100/100.

100 percent means everything (100/100).
To find 100 percent you divide by 1.

50 percent means half, 1/2 or 50/100.
To find 50 percent you divide by 2.

10 percent means 1/10 or 10/100.
To find 10 percent you divide by 10.

25 percent means 1/4 or 25/100.
To find 25 percent you divide by 4.

1 percent means 1/100.
To find 1 percent you divide by 100.

Representing Percent

180%
0.6%
12 3/4%

Converting Percents, Fractions and Decimals

Converting fractions to decimals and percents: 3/40
Numerator divided by denominator.
3 divided by 40 = 0.075/1 x 100/100 = 7.5/100 or 7.5%

Converting decimals to percents and fractions: 0.268
0.268/1 x 100/100 = 26.8/100 or 26.8% 268/1000 divided by 4/4 = 67/250

Converting percents to decimals and fractions.
750%/100 divided by 100/100 = 7.5/1 or 7 1/2

Mental Math

20% of 60
0.1% of 40
250% of 400

Calculator

20 ÷ 100 = 0.2
0.2 x 60 = 12

0.1 ÷ 100 = 0.001
0.001 x 40 = 0.04

250 ÷ 100 = 2.5
2.5 x 400 = 1000

Combining Percents

Discount is what you save.
Sale Price is what you pay.
Total Price with taxes is sale price (what you pay) and taxes altogether.

Original price is what is on the sticker.

Original price: \$200
Discount: 50% off

Original price: \$200
Discount: 25% off already reduced price of 25%

What's the better deal?

200 ÷ 2 = \$100

200 x 0.75 = \$150
150 x 0.75 = \$112.50

50% off is the better deal. 25% off the already reduced price of 25% doesn't give you the same result because after finding the 25% off the original price. A new total is in play when finding the other 25%.