Percent is simply a ratio. A ratio, a fraction whose denominator is always 100.

A ratio is a fraction, a division which indicates how many times the numerator of the fraction is greater or smaller than the denominator.

Literal meaning of percent is , out of hundred.

cent the unit of money is really Centidollar , meaning 1/100 of dollar , same as centimeter is 1/100 of

meter .

So conversion of a number to percentage is same as conversion of dollar to cents.

$ 2 = 2 * 100 / 100 = 200 * 1/00 = 200 c

2 = 2 * 100 / 100 = 200 * 1/100 = 200 %

The percentage value is greater than 100, for whole numbers.

Fractions always converted them to decimal fraction, and (*multiply by 100 by shifting the decimal
*

* point two place to the right, and insert the *% for dividing by 100).

1/4 = 0.25 = 25 % 1/ 3 = 0.33 = 33 % 2/3 = 0. 667 = 66.7 %

Fractions with factors of 100 : 2, 4 , 5, 10, 20, 50,

1/4 = 25/100 1/5 = 20/100 1/20 = 5/100

We make the denominator 100 , by multiplying denominator and numerator by quotient of

hundred to the 2,4,5,10, 20, 25 50 ....

then 25/100 = 25% 4/100 = 0.04 .....

This is just demonstrate equivalency of the procedure.

If we convert to all fractions to decimal numbers, become easier and consistent.

Like in a mixed number:

5 1/4 = 5. 25 = 525 %

Otherwise have to carry a lot of unnecessary steps

5 1/4 = 21/ 4

21/ 4 =(21 * 25) / ( 4 * 25) = 525/100 = 525 %

Students entangle with a great deal of episode with percentage. Just think of converting dollar to

cents , then all those procedure make sense.