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Percent means “for each hundred," or "for every hundred."
The symbol % is used to represent the word percent.
The ratio 26 to 100 can be written as 26%. We read 26% as "twenty-six percent."
The ratio can be written as 165%.
We read 165% as "one hundred sixty-five percent."
The percent 38% can be written as the fraction .
The percent 210% can be written as the fraction or the mixed number or 2.1.
Since one dollar is 100 cents, 25 cents is of a dollar. This implies that 25 cents is 25% of one dollar.
Since a percent is a ratio, and a ratio can be written as a fraction, and a fraction can be written as a decimal, any of these forms can be converted to any other.
Before we proceed to the problems in [link] and [link] , let's summarize the conversion techniques.
To Convert a Fraction | To Convert a Decimal | To Convert a Percent |
To a decimal: Divide the numerator by the denominator | To a fraction: Read the decimal and reduce the resulting fraction | To a decimal: Move the decimal point 2 places to the left and drop the % symbol |
To a percent: Convert the fraction first to a decimal, then move the decimal point 2 places to the right and affix the % symbol. | To a percent: Move the decimal point 2 places to the right and affix the % symbol | To a fraction: Drop the % sign and write the number “over” 100. Reduce, if possible. |
Convert 12% to a decimal.
Note that
The % symbol is dropped, and the decimal point moves 2 places to the left.
Convert 0.75 to a percent.
Note that
The % symbol is affixed, and the decimal point moves 2 units to the right.
Convert to a percent.
We see in [link] that we can convert a decimal to a percent. We also know that we can convert a fraction to a decimal. Thus, we can see that if we first convert the fraction to a decimal, we can then convert the decimal to a percent.
or
For the following 12 problems, convert each decimal to a percent.
For the following 10 problems, convert each percent to a decimal.
For the following 14 problems, convert each fraction to a percent.
For the following 14 problems, convert each percent to a fraction.
( [link] ) of what number is ?
( [link] ) Round 6.99997 to the nearest ten thousandths.
( [link] ) On a map, 3 inches represent 40 miles. How many inches represent 480 miles?
36 inches
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