Final answer:
To calculate the exact percent, set 'x' as the unknown part and write an equation, such as x = 12% of 284, which is x = 0.12 × 284. For another example, the percentage of 3598 of 2607 is calculated as (3598/2607) × 100%. Converting fractions to percentages is done by multiplying by 100, like converting 1/8th of 1,000 to a percentage by multiplying 125 by 100.
Step-by-step explanation:
To calculate the exact percent by writing an equation, you can represent the unknown part with the variable 'x'. If we want to calculate x as 12% of 284, we would set up the equation as x = 0.12 × 284. To find the value of x, simply multiply 0.12 by 284.
Another example of calculating a percentage could involve setting up equivalent fractions and cross-multiplying to find the unknown part. For instance, to find what percent 3598 is of 2607, we could use the equation (3598/2607) × 100%.
Understanding the percentage composition is important as well. If you score 96 out of 100 on an exam, your percentage score is (96/100) × 100%, which equals 96%. Similarly, to convert a fraction to a percentage, multiply it by 100. For instance, to find what one eighth of 1,000 is, one can multiply 1,000 by the reciprocal of 8, which gives us 125, because (1/8) × 1000 = 125.