What Percent Is It?

Introduction

Topic: Solving percent problems by determining what percent one number is of another.
Example: Previous video covered finding a percent of a number (e.g., 20% of 50 is 10).
Key understanding: Percent is a relationship between three main numbers (part, total, percent) and a fourth constant number (100).

Type 1: Finding a percent of a number (covered in the last video).
- Known: Percent, Total
- Unknown: Part
- Example: What is 20% of 50?
Type 2: Finding what percent one number is of another (focus of this video).
- Known: Part, Total
- Unknown: Percent
- Example: Uncle visited 35 of 50 states. What percent is it?
  - Clue: The word “of” usually indicates the total.
  - Solution: 35/50 = 70/100 → 70%
  - Method 1: Convert fraction to an equivalent fraction with 100 as the denominator.
  - Method 2: Divide part by total to get decimal, then multiply by 100 or move decimal 2 places right.
Type 3: Finding the total when part and percent are known (to be covered in the next video).
- Known: Part, Percent
- Unknown: Total
- Example: Not discussed in this video.

Uncle's travel example: Known part (35 states) and total (50 states)
- Solution: 35/50 = 70/100 = 70%
Aunt's cookie example: Known part (28 cookies) and total (80 cookies)
- Solution: 28/80 = 0.35 → 35%
- Tools: Calculator for division, or long division skills.

Method 1: Equivalent fraction method.
- Convert known fraction to an equivalent fraction with 100 as the denominator.
- Useful when conversion to 100 is straightforward.
Method 2: Division method.
- Divide part by total to get a decimal, then convert the decimal to a percent.
- Preferred when equivalent fraction conversion is complex.