percentage problem 

Parts of a Percentage Problem

  • The percentage problem consists of three essential components:

    • Percent: This is the rate or proportion expressed per hundred.

    • Whole: This represents the total amount or the entirety from which a part is derived.

    • Part: This is the specific section or portion of the whole represented by the percent.

Finding the Part of a Percentage

  • To calculate the part when the percent and the whole are known:

    1. Convert the Percent to a Decimal:

      • This involves dividing the percent by 100.

      • Example: To convert 10%, perform the calculation:

        • 10 ext{%} = \frac{10}{100} = 0.10

    2. Multiply by the Whole:

      • Take the decimal obtained from the above step and multiply it by the whole amount.

Example Calculation

  • Consider the problem: What is 10% of 60?

    • Step 1: Convert 10% to decimal:

      • 10 ext{%} = 0.10

    • Step 2: Multiply the decimal by the whole:

      • 0.10imes60=6.00.10 imes 60 = 6.0

    • The result indicates that the part is 6.

Conclusion

  • Therefore, in this example:

    • Percent: 10%

    • Whole: 60

    • Part: 6

  • The calculation confirms that 10% of 60 equals 6.

  • Note that the calculation can be expressed in multiple ways, but the fundamental process remains consistent across examples.