Terms Used in Percentage
In Percentage, there are five terms or quantities considered; namely, the Base, Rate per cent, Percentage, Amount and Proceeds or Difference; any two being given, a third one may be found.
The base and rate given, to find the percentage.
Rule.—Multiply the base by the rate per cent expressed decimally.
Example: How many dollars is 6% of $50?
| $50, | the Base, or number on which percentage is computed. |
| .06, | the Rate, or term denoting number of hundredths taken. |
| $3.00, | the Percentage, or the product of the base and rate per cent. |
| $53.00, | the Amount, or the base increased by the percentage. |
| $47.00, | the Proceeds, or Difference, the base less the percentage. |
| Ans. $3.00. | |
When the rate per cent is an aliquot part of 100, the percentage is readily found by taking such a part of the base as the rate per cent is part of 100. Thus, at 10%, take 1⁄10 of base; at 121⁄2%, 1⁄8; at 162⁄3%, 1⁄6, etc.
The base and percentage given, to find the rate.
Rule.—Divide the percentage by 1% of the base