Math Problem Statement

How to find percentage

Solution

To find the percentage of a number, you can follow these steps:

Formula for Percentage:

Percentage=(PartWhole)×100\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100

  • Part is the portion of the whole you are interested in.
  • Whole is the total amount that the part is being compared to.

Example 1:

If you want to find what 30 is as a percentage of 200: Percentage=(30200)×100=15%\text{Percentage} = \left( \frac{30}{200} \right) \times 100 = 15\% So, 30 is 15% of 200.

Example 2:

If you want to find 25% of 80: Percentage=25100×80=20\text{Percentage} = \frac{25}{100} \times 80 = 20 So, 25% of 80 is 20.

Key Points:

  • To find a percentage of a number, multiply the number by the percentage and divide by 100.
  • To convert a percentage to a fraction: Divide the percentage by 100.
  • To find a percentage increase or decrease, you can use the formula: Percentage Change=(New ValueOriginal ValueOriginal Value)×100\text{Percentage Change} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100

Let me know if you need more details or examples!

Related Questions:

  1. How do you find a percentage of a large number?
  2. How can you calculate percentage increase or decrease?
  3. What’s the difference between percentage and percentage points?
  4. How do you convert a decimal to a percentage?
  5. Can you calculate the percentage without a calculator?

Tip:

Always remember to multiply by 100 when converting a fraction or decimal to a percentage!

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Math Problem Analysis

Mathematical Concepts

Percentages
Ratios
Proportions

Formulas

Percentage = (Part / Whole) × 100
Percentage Change = ((New Value - Original Value) / Original Value) × 100

Theorems

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Suitable Grade Level

Grades 5-8