Percentage problems involve three key parts: the rate expressed as a percentage, the base quantity which is equal to 100%, and the percentage which is the part of the base. There are multiple ways to solve percent problems, including using fractions to represent the rate over 100 and multiplying it by the base, setting up a ratio and proportion between the rate over 100 and the percentage over 100 and solving for the percentage, or using the formula that the percentage is equal to the rate times the base.

1. Percentage

2. All simple percent problems have three parts:
• Rate is percent (%)
• Base represents whole or a quantity equal to
100%
Word “of” generally relates to the base
• Percentage is part or quantity of percent of
base
Word “is” generally relates to the percentage

3. Ways or formula to solve percent problems:
1. Using Fractions
30% of 1800 =
30
100
× 1800
= 30 × 18
= 540
18

4. 2. Using ratio and Proportion
P
1800
=
30
100
100P = 54000
100P
100
=
54000
100
P = 540

5. 3. Formula for Percentage
P = R × B
= 0.30 × 1800
= 540
**always write the rate as a decimal